This document provides a summary of a student's math homework assignment involving collecting and analyzing data. The assignment includes questions about identifying different data types, calculating statistical measures like mean, median and standard deviation from data sets, understanding sampling methods, and interpreting data visually through histograms and z-scores. The student is asked to show work for calculating measures and answering conceptual questions about quantitative analysis.

1. Abstract
Knowledge-Based computerized management information
systems could help to reduce potential problems in the
administrative decision-making process.
· Clearly state what the article is about and its purpose
The purpose of this paper is to demonstrate the advantages of
the Knowledge-Based computerized management information
system in the decision-making process. Research shows that it
can be used to build the business intelligent decision-making
system and help to reduce the potential problems. This article
also explained the definition of MIS, various types of MIS, and
the effectiveness of MIS which helped me to better understand
what management information system is and why it is
important.
· How the article and/or author(s) support your argument(s)
In my PA 1 paper, I will identify some research areas in
management information system. Business intelligence
mentioned in this article is one of the research areas that I will
identify in my paper. I will use the information in this article to
discuss the benefit for the organization to use the business
intelligent decision-making systems such as increasing the
productivity.
· Most important aspects of the article
Knowledge-based information systems are dynamic where it was
developed designed and program during the of training and
learning. From the experience and knowledge, they gained from
training, they could differentiate patterns, handwritten symbols,
word recognition, forecasting, and other applications especially
in business and finance area.
· Any findings and conclusions
Organization should use knowledge-based information systems
in decision-making process.
Create frameworks that can utilize modern information technolo

2. gy applications at differed administrative levels. Take
advantages of benefits provided by the existing knowledge-
based information systems in terms of effort, time and money
and to be able to adapt to the conditions and environmental
changes
· Include the industry example demonstrating the application of
your researched article
Applicable for all of the business industries especially financial
institutions.
References
Amuna, Y. M. A., Al Shobaki, M. J., & Naser, S. S. A. (2017).
The Role of Knowledge-Based Computerized Management
Information Systems in the Administrative Decision-Making
Process.
MTH 101M7-8 Collecting and Analyzing Data
Show all work to receive credit. Write verbal questions in at
least one complete sentence.
1) For each of the following questions, decide if the data is
qualitative or quantitative. If it is quantitative, decide if it’s
discrete or continuous. Explain the reason for your answer.
a) Janelle is collecting data on the number of ounces of water
drank by college students during a typical math class. What type
of data is this?
b) Terrance is collecting data on the color of cars in the school
parking lot. What type of data is this?
c) Tina is collecting data on the number of goals scored in

3. college soccer games from around the state. What type of data
is this?
2) Describe the difference between qualitative and quantitative
data.
3) Describe the difference between discrete and continuous
data.
4) Describe the difference between a sampling error and non-
sampling error (bias).
5) Give 2 examples of biased sampling.
6) Jenny asks all 75 students in a math course about their score
on the midterm. Determine whether this is a population or
sample. Describe the parameter and the statistic.
7) Gary surveyed 10 of the 50 people on the top floor and asked
them about their favorite flavor of soda. Determine whether this
is a population or sample. Describe the parameter and the
statistic.

4. 8) Johnny is studying the most commonly purchased vegetables
in a small town. He samples the population by dividing the town
into blocks and randomly selecting a proportionate number of
people from each block. He then collects data from the sample.
What type of sampling is used? Explain your answer.
9) Betsy is collecting data on the amount of time shoppers
spend inside of a particular large department store. She stands
outside the department store and surveys every 10th shopper
who exits. What type of sampling is used? Explain your answer.
10) David wants to study the highest level of education for all
adults in his city. He sits outside the library and collects data
from everyone who enters. What type of sampling is used?
Explain your answer.
11) An airline wants to survey some of its passengers to collect
data on flight satisfaction. The airline chooses ten flights and
surveys every passenger on those flights. What type of sampling
is used? Explain your answer.
12) 50 students took a quiz with five questions. The frequency
table below shows the results of the quiz. Use the frequency
table to answer the following questions.
Value

5. Frequency
Relative Frequency
Cumulative Frequency
0
4
0.08
4
1
8
0.16
12
2
6
0.12
18
3
2
0.04
20
4
15
0.3
35
5
15
0.3
50
a) How many students answered exactly 3 questions correctly?
b) How many students answered less than 3 questions correctly?
c) What proportion (percent) of students answered exactly 4
questions correctly?

6. d) What proportion of students answered 1 or 2 questions
correctly?
e) How many students answered at most 4 questions correctly?
f) What is the sum of the relative frequency column? Will this
always be the case? Why or why not?
g) Use the data supplied in the frequency table to create a
frequency histogram.
13) Describe in one sentence how to calculate the following
measures:
a) Mean
b) Median
c) Midrange
d) Variance
e) Standard Deviation
14) What is another word to describe ‘the mean’?

7. 15) Given the following data set, find the mean, median, mode,
and midrange.
5, 6, 7, 7, 7, 8, 9, 10
16) Calculate the mean, mode, and midrange from the frequency
table given below. Estimate the median.
Value
Frequency
12
9
13
6
14
4
15
7
16
4
17) To find the standard deviation, we start by finding the
______ of the data set. Then, we take each data value and _____
the mean. We will _____ each of these numbers before taking
the sum. Once we have added these values, we will _____ by n -
1. Now we have found variance. So, to find the standard
deviation, our last step is to take the _____ _____ of the
variance.
18) If the given sample variance is 17.56, what is the standard
deviation?

8. 19) Find the sample variance and standard deviation of the
following set of numbers. The table has been given to you to
help with organization. Remember the start by finding the mean.
6, 8, 11, 14, 18
Value
Value - Mean
(Value - Mean)2
6
8
11
14
18
The variance of these values is . The standard
deviation of these values is .
20) Find the sample variance and standard deviation of the
following set of numbers. The table has been given to you to
help with organization.
21, 24, 24, 27, 29, 33, 37
Value
Value - Mean
(Value - Mean)2
21

9. 24
24
27
29
33
37
The variance of these values is . The standard
deviation of these values is .
21) In the normal distribution, the mean, median, and mode are
_____.
22) For the following two normal curves:
a) Determine the mean of each curve.
b) Which curve has a larger standard deviation? Explain why!

10. Recall that Z-Score is calculated by where is your score, is
the mean, and is the standard deviation. Z-Score tells you have
many standard deviations away from the mean you are. Z-scores
will almost always fall in between -3 and 3. We then turn this
Z-score into a percentile by using a Z-score table, which
estimates what percentage of the data our value in question
outperforms. You can find complete tables here: http://www.z-
table.com/
23) Suppose on a certain MTH 101 quiz, you scored a 94%. The
mean score in the class was 82.6% with a standard deviation of
12.4%.
a) How many standard deviations away from the mean are you?
b) Using the following z-table snippet, determine what percent
of your classmates you outperformed:
Curve 1 -5 -4.99 -4.9800000000000004 -4.97 -
4.96 -4.95 -4.9400000000000004 -4.93 -4.92 -
4.91 -4.9000000000000004 -4.8899999999999997 -4.88
-4.87 -4.8600000000000003 -4.8499999999999996
-4.84 -4.83 -4.82 -4.8099999999999996 -
4.8 -4.79 -4.78 -4.7699999999999996 -4.76 -
4.75 -4.74 -4.7300000000000004 -4.72 -4.71 -
4.7 -4.6900000000000004 -4.68 -4.67 -4.66 -
4.6500000000000004 -4.6399999999999997 -4.63 -
4.62 -4.6100000000000003 -4.5999999999999996 -4.59
-4.58 -4.57 -4.5599999999999996 -4.55 -
4.54 -4.53 -4.5199999999999996 -4.51 -4.5 -4.49
-4.4800000000000004 -4.47 -4.46 -4.45 -
4.4399999999999995 -4.43 -4.42 -4.41 -
4.4000000000000004 -4.3899999999999997 -4.38 -

11. 4.37 -4.3600000000000003 -4.3499999999999996 -4.34
-4.33 -4.32 -4.3099999999999996 -4.3 -4.29
-4.28 -4.2699999999999996 -4.26 -4.25 -
4.24 -4.2300000000000004 -4.22 -4.21 -4.2 -
4.1899999999999995 -4.18 -4.17 -4.16 -
4.1500000000000004 -4.1399999999999997 -4.13 -
4.12 -4.1100000000000003 -4.0999999999999996 -4.09
-4.08 -4.07 -4.0599999999999996 -4.05 -
4.04 -4.03 -4.0199999999999996 -4.01 -4 -3.99
-3.98 -3.9699999999999998 -3.96 -3.95 -
3.94 -3.9299999999999997 -3.92 -3.91 -3.9 -
3.8899999999999997 -3.88 -3.87 -3.86 -
3.8499999999999996 -3.84 -3.83 -
3.8200000000000003 -3.81 -3.8 -3.79 -
3.7800000000000002 -3.77 -3.76 -3.75 -3.74
-3.73 -3.7199999999999998 -3.71 -3.7 -3.69
-3.6799999999999997 -3.67 -3.66 -3.65 -
3.6399999999999997 -3.63 -3.62 -3.61 -
3.5999999999999996 -3.59 -3.58 -
3.5700000000000003 -3.56 -3.55 -3.54 -
3.5300000000000002 -3.52 -3.51 -3.5 -3.49 -
3.48 -3.4699999999999998 -3.46 -3.45 -3.44 -
3.4299999999999997 -3.42 -3.41 -3.4 -
3.3899999999999997 -3.38 -3.37 -3.36 -
3.3499999999999996 -3.34 -3.33 -
3.3200000000000003 -3.31 -3.3 -3.29 -
3.2800000000000002 -3.27 -3.26 -3.25 -3.24
-3.23 -3.2199999999999998 -3.21 -3.2 -3.19
-3.1799999999999997 -3.17 -3.16 -3.15 -
3.1399999999999997 -3.13 -3.12 -3.11 -
3.0999999999999996 -3.09 -3.08 -
3.0700000000000003 -3.06 -3.05 -3.04 -
3.0300000000000002 -3.02 -3.01 -3 -
2.9899999999999998 -2.98 -2.9699999999999998 -
2.96 -2.95 -2.94 -2.93 -2.92 -2.91 -2.9 -
2.89 -2.88 -2.87 -2.86 -2.85 -2.84 -2.83

12. -2.82 -2.81 -2.8 -2.79 -2.78 -2.77 -
2.76 -2.75 -2.7399999999999998 -2.73 -
2.7199999999999998 -2.71 -2.6999999999999997 -
2.69 -2.68 -2.67 -2.66 -2.65 -2.64 -2.63
-2.62 -2.61 -2.6 -2.59 -2.58 -2.57 -
2.56 -2.5499999999999998 -2.54 -2.5299999999999998
-2.52 -2.5099999999999998 -2.5 -
2.4899999999999998 -2.48 -2.4699999999999998 -
2.46 -2.4499999999999997 -2.44 -2.4300000000000002
-2.42 -2.41 -2.4 -2.39 -2.38 -2.37 -
2.36 -2.35 -2.34 -2.33 -2.3199999999999998 -
2.31 -2.2999999999999998 -2.29 -2.2799999999999998
-2.27 -2.2599999999999998 -2.25 -
2.2399999999999998 -2.23 -2.2199999999999998 -
2.21 -2.1999999999999997 -2.19 -2.1800000000000002
-2.17 -2.16 -2.15 -2.14 -2.13 -2.12
-2.11 -2.1 -2.09 -2.08 -2.0699999999999998
-2.06 -2.0499999999999998 -2.04 -
2.0299999999999998 -2.02 -2.0099999999999998 -2
-1.9899999999999998 -1.98 -1.9699999999999998
-1.96 -1.9499999999999997 -1.94 -
1.9299999999999997 -1.92 -1.9100000000000001 -
1.9 -1.8900000000000001 -1.88 -1.87 -
1.8599999999999999 -1.85 -1.8399999999999999 -
1.83 -1.8199999999999998 -1.81 -1.7999999999999998
-1.79 -1.7799999999999998 -1.77 -
1.7599999999999998 -1.75 -1.7399999999999998 -
1.73 -1.7199999999999998 -1.71 -1.6999999999999997
-1.69 -1.6799999999999997 -1.67 -
1.6600000000000001 -1.65 -1.6400000000000001 -
1.63 -1.62 -1.6099999999999999 -1.6 -
1.5899999999999999 -1.58 -1.5699999999999998 -
1.56 -1.5499999999999998 -1.54 -1.5299999999999998
-1.52 -1.5099999999999998 -1.5 -
1.4899999999999998 -1.48 -1.4699999999999998 -
1.46 -1.4499999999999997 -1.44 -1.4299999999999997

13. -1.42 -1.4100000000000001 -1.4 -
1.3900000000000001 -1.38 -1.37 -
1.3599999999999999 -1.35 -1.3399999999999999 -
1.33 -1.3199999999999998 -1.31 -1.2999999999999998
-1.29 -1.2799999999999998 -1.27 -
1.2599999999999998 -1.25 -1.2399999999999998 -
1.23 -1.2199999999999998 -1.21 -1.1999999999999997
-1.19 -1.1799999999999997 -1.17 -
1.1600000000000001 -1.1499999999999999 -
1.1400000000000001 -1.1299999999999999 -
1.1200000000000001 -1.1099999999999999 -
1.1000000000000001 -1.0899999999999999 -1.08 -
1.0699999999999998 -1.06 -1.0499999999999998 -
1.04 -1.0299999999999998 -1.02 -1.0099999999999998
-1 -0.99000000000000021 -0.97999999999999954 -
0.96999999999999975 -0.96 -0.95000000000000018 -
0.9399999999999995 -0.92999999999999972 -
0.91999999999999993 -0.91000000000000014 -
0.90000000000000036 -0.88999999999999968 -
0.87999999999999989 -0.87000000000000011 -
0.86000000000000032 -0.84999999999999964 -
0.83999999999999986 -0.83000000000000007 -
0.82000000000000028 -0.80999999999999961 -
0.79999999999999982 -0.79 -0.78000000000000025 -
0.76999999999999957 -0.75999999999999979 -0.75 -
0.74000000000000021 -0.72999999999999954 -
0.71999999999999975 -0.71 -0.70000000000000018 -
0.6899999999999995 -0.67999999999999972 -
0.66999999999999993 -0.66000000000000014 -
0.64999999999999947 -0.63999999999999968 -
0.62999999999999989 -0.62000000000000011 -
0.61000000000000032 -0.59999999999999964 -
0.58999999999999986 -0.58000000000000007 -
0.57000000000000028 -0.55999999999999961 -
0.54999999999999982 -0.54 -0.53000000000000025 -
0.51999999999999957 -0.50999999999999979 -0.5 -

14. 0.49000000000000021 -0.47999999999999954 -
0.46999999999999975 -0.45999999999999996 -
0.45000000000000018 -0.4399999999999995 -
0.42999999999999972 -0.41999999999999993 -
0.41000000000000014 -0.39999999999999947 -
0.38999999999999968 -0.37999999999999989 -
0.37000000000000011 -0.36000000000000032 -
0.34999999999999964 -0.33999999999999986 -
0.33000000000000007 -0.32000000000000028 -
0.30999999999999961 -0.29999999999999982 -
0.29000000000000004 -0.28000000000000025 -
0.26999999999999957 -0.25999999999999979 -0.25 -
0.24000000000000021 -0.22999999999999954 -
0.21999999999999975 -0.20999999999999996 -
0.20000000000000018 -0.1899999999999995 -
0.17999999999999972 -0.16999999999999993 -
0.16000000000000014 -0.14999999999999947 -
0.13999999999999968 -0.12999999999999989 -
0.12000000000000011 -0.11000000000000032 -
9.9999999999999645E-2 -8.9999999999999858E-2-
8.0000000000000071E-2 -7.0000000000000284E-2-
5.9999999999999609E-2 -4.9999999999999822E-2-
4.0000000000000036E-2 -3.0000000000000249E-2-
1.9999999999999574E-2 -9.9999999999997868E-30
9.9999999999997868E-3 2.0000000000000462E-2
3.0000000000000249E-2 4.0000000000000036E-2
4.9999999999999822E-2 6.0000000000000497E-2
7.0000000000000284E-2 8.0000000000000071E-2
8.9999999999999858E-2 0.10000000000000053
0.11000000000000032 0.12000000000000011
0.12999999999999989 0.13999999999999968
0.15000000000000036 0.16000000000000014
0.16999999999999993 0.17999999999999972
0.19000000000000039 0.20000000000000018
0.20999999999999996 0.21999999999999975
0.23000000000000043 0.24000000000000021 0.25

15. 0.25999999999999979 0.27000000000000046
0.28000000000000025 0.29000000000000004
0.29999999999999982 0.3100000000000005
0.32000000000000028 0.33000000000000007
0.33999999999999986 0.35000000000000053
0.36000000000000032 0.37000000000000011
0.37999999999999989 0.38999999999999968
0.40000000000000036 0.41000000000000014
0.41999999999999993 0.42999999999999972
0.44000000000000039 0.45000000000000018
0.45999999999999996 0.46999999999999975
0.48000000000000043 0.49000000000000021 0.5
0.50999999999999979 0.52000000000000046
0.53000000000000025 0.54 0.54999999999999982
0.5600000000000005 0.57000000000000028
0.58000000000000007 0.58999999999999986
0.60000000000000053 0.61000000000000032
0.62000000000000011 0.62999999999999989
0.63999999999999968 0.65000000000000036
0.66000000000000014 0.66999999999999993
0.67999999999999972 0.69000000000000039
0.70000000000000018 0.71 0.71999999999999975
0.73000000000000043 0.74000000000000021 0.75
0.75999999999999979 0.77000000000000046
0.78000000000000025 0.79 0.79999999999999982
0.8100000000000005 0.82000000000000028
0.83000000000000007 0.83999999999999986
0.85000000000000053 0.86000000000000032
0.87000000000000011 0.87999999999999989
0.88999999999999968 0.90000000000000036
0.91000000000000014 0.91999999999999993
0.92999999999999972 0.94000000000000039
0.95000000000000018 0.96 0.96999999999999975
0.98000000000000043 0.99000000000000021 1
1.0099999999999998 1.0200000000000005
1.0300000000000002 1.04 1.0499999999999998

16. 1.0600000000000005 1.0700000000000003 1.08
1.0899999999999999 1.1000000000000005
1.1100000000000003 1.1200000000000001
1.1299999999999999 1.1400000000000006
1.1500000000000004 1.1600000000000001 1.17
1.1799999999999997 1.1900000000000004
1.2000000000000002 1.21 1.2199999999999998
1.2300000000000004 1.2400000000000002 1.25
1.2599999999999998 1.2700000000000005
1.2800000000000002 1.29 1.2999999999999998
1.3100000000000005 1.3200000000000003 1.33
1.3399999999999999 1.3500000000000005
1.3600000000000003 1.37 1.38 1.3900000000000006
1.4000000000000004 1.4100000000000001 1.42
1.4299999999999997 1.4400000000000004
1.4500000000000002 1.46 1.4699999999999998
1.4800000000000004 1.4900000000000002 1.5
1.5099999999999998 1.5200000000000005
1.5300000000000002 1.54 1.5499999999999998
1.5600000000000005 1.5700000000000003 1.58
1.5899999999999999 1.6000000000000005
1.6100000000000003 1.62 1.63 1.6400000000000006
1.6500000000000004 1.6600000000000001 1.67
1.6799999999999997 1.6900000000000004
1.7000000000000002 1.71 1.7199999999999998
1.7300000000000004 1.7400000000000002 1.75
1.7599999999999998 1.7700000000000005
1.7800000000000002 1.79 1.7999999999999998
1.8100000000000005 1.8200000000000003 1.83
1.8399999999999999 1.8500000000000005
1.8600000000000003 1.87 1.88 1.8900000000000006
1.9000000000000004 1.9100000000000001 1.92
1.9299999999999997 1.9400000000000004
1.9500000000000002 1.96 1.9699999999999998
1.9800000000000004 1.9900000000000002 2
2.0099999999999998 2.0200000000000005

17. 2.0300000000000002 2.04 2.0499999999999998
2.0600000000000005 2.0700000000000003 2.08
2.09 2.1000000000000005 2.1100000000000003
2.12 2.13 2.1400000000000006 2.1500000000000004
2.16 2.17 2.1799999999999997 2.1900000000000004
2.2000000000000002 2.21 2.2199999999999998
2.2300000000000004 2.2400000000000002 2.25
2.2599999999999998 2.2700000000000005
2.2800000000000002 2.29 2.2999999999999998
2.3100000000000005 2.3200000000000003 2.33
2.34 2.3500000000000005 2.3600000000000003
2.37 2.38 2.3900000000000006 2.4000000000000004
2.41 2.42 2.4299999999999997 2.4400000000000004
2.4500000000000002 2.46 2.4699999999999998
2.4800000000000004 2.4900000000000002 2.5
2.5099999999999998 2.5200000000000005
2.5300000000000002 2.54 2.5499999999999998
2.5600000000000005 2.5700000000000003 2.58
2.59 2.6000000000000005 2.6100000000000003
2.62 2.63 2.6400000000000006 2.6500000000000004
2.66 2.67 2.6799999999999997 2.6900000000000004
2.7 2.71 2.7199999999999998 2.7300000000000004
2.74 2.75 2.76 2.7700000000000005
2.7800000000000002 2.79 2.8 2.8100000000000005
2.8200000000000003 2.83 2.84 2.8500000000000005
2.8600000000000003 2.87 2.88 2.8900000000000006
2.9000000000000004 2.91 2.92 2.9300000000000006
2.9400000000000004 2.95 2.96 2.9699999999999998
2.9800000000000004 2.99 3 3.01
3.0199999999999996 3.0299999999999994
3.0400000000000009 3.0500000000000007
3.0600000000000005 3.0700000000000003 3.08
3.09 3.0999999999999996 3.1099999999999994
3.120000000000001 3.1300000000000008
3.1400000000000006 3.1500000000000004 3.16
3.17 3.1799999999999997 3.1899999999999995

18. 3.1999999999999993 3.2100000000000009
3.2200000000000006 3.2300000000000004 3.24
3.25 3.26 3.2699999999999996 3.2799999999999994
3.2900000000000009 3.3000000000000007
3.3100000000000005 3.3200000000000003 3.33
3.34 3.3499999999999996 3.3599999999999994
3.370000000000001 3.3800000000000008
3.3900000000000006 3.4000000000000004 3.41
3.42 3.4299999999999997 3.4399999999999995
3.4499999999999993 3.4600000000000009
3.4700000000000006 3.4800000000000004 3.49
3.5 3.51 3.5199999999999996 3.5299999999999994
3.5400000000000009 3.5500000000000007
3.5600000000000005 3.5700000000000003 3.58
3.59 3.5999999999999996 3.6099999999999994
3.620000000000001 3.6300000000000008
3.6400000000000006 3.6500000000000004 3.66
3.67 3.6799999999999997 3.6899999999999995
3.7000000000000011 3.7100000000000009
3.7200000000000006 3.7300000000000004 3.74
3.75 3.76 3.7699999999999996 3.7799999999999994
3.7900000000000009 3.8000000000000007
3.8100000000000005 3.8200000000000003 3.83
3.84 3.8499999999999996 3.8599999999999994
3.870000000000001 3.8800000000000008
3.8900000000000006 3.9000000000000004 3.91
3.92 3.9299999999999997 3.9399999999999995
3.9500000000000011 3.9600000000000009
3.9700000000000006 3.9800000000000004 3.99 4
4.01 4.0199999999999996 4.0299999999999994
4.0400000000000009 4.0500000000000007
4.0600000000000005 4.07 4.08 4.09
4.0999999999999996 4.1099999999999994
4.120000000000001 4.1300000000000008
4.1400000000000006 4.1500000000000004 4.16
4.17 4.18 4.1899999999999995 4.2000000000000011

19. 4.2100000000000009 4.2200000000000006
4.2300000000000004 4.24 4.25 4.26
4.2699999999999996 4.2799999999999994
4.2900000000000009 4.3000000000000007
4.3100000000000005 4.32 4.33 4.34
4.3499999999999996 4.3599999999999994
4.370000000000001 4.3800000000000008
4.3900000000000006 4.4000000000000004 4.41
4.42 4.43 4.4399999999999995 4.4500000000000011
4.4600000000000009 4.4700000000000006
4.4800000000000004 4.49 4.5 4.51
4.5199999999999996 4.5299999999999994
4.5400000000000009 4.5500000000000007
4.5600000000000005 4.57 4.58 4.59
4.5999999999999996 4.6099999999999994
4.620000000000001 4.6300000000000008
4.6400000000000006 4.6500000000000004 4.66
4.67 4.68 4.6899999999999995 4.7000000000000011
4.7100000000000009 4.7200000000000006
4.7300000000000004 4.74 4.75 4.76
4.7699999999999996 4.7799999999999994
4.7900000000000009 4.8000000000000007
4.8100000000000005 4.82 4.83 4.84
4.8499999999999996 4.8599999999999994
4.870000000000001 4.8800000000000008
4.8900000000000006 4.9000000000000004 4.91
4.92 4.93 4.9399999999999995 4.9500000000000011
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5.186357668282051E-2 5.0823901493691162E-2
4.9800087735070775E-2 4.8792018579182764E-2
4.7799574882076964E-2 4.6822635277683121E-2
4.5861076271054887E-2 4.49147723307671E-2
4.3983595980427156E-2 4.3067417889265699E-2
4.2166106961770311E-2 4.1279530426330417E-2
4.0407553922860252E-2 3.9550041589370186E-2
3.8706856147455608E-2 3.7877858986677483E-2
3.7062910247806502E-2 3.6261868904906187E-2
3.5474592846231424E-2 3.470093895391882E-2
3.3940763182449214E-2 3.3193920635861088E-2
3.2460265643697445E-2 3.1739651835667418E-2
3.103193221500827E-2 3.0336959230531597E-2
2.965458484734125E-2 2.8984660616209412E-2
2.8327037741601186E-2 2.7681567148336531E-2
2.7048099546881761E-2 2.6426485497261721E-2

30. 2.581657547158769E-2 2.5218219915194361E-2
2.4631269306382486E-2 2.4055574214762971E-2
2.3490985358201363E-2 2.2937353658360662E-2
2.2394530294842882E-2 2.1862366757929387E-2
2.1340714899922782E-2 2.0829426985092204E-2
2.032835573822582E-2 1.9837354391795313E-2
1.9356276731736961E-2 1.8884977141856187E-2
1.8423310646862031E-2 1.7971132954039633E-2
1.752830049356854E-2 1.7094670457496956E-2
1.6670100837381043E-2 1.6254450460600492E-2
1.5847579025360818E-2 1.5449347134395174E-2
1.505961632737743E-2 1.4678249112060025E-2
1.430510899414969E-2 1.3940060505935825E-2
1.3582969233685602E-2 1.3233701843821355E-2
1.2892126107895304E-2 1.2558110926378211E-2
1.2231526351277954E-2 1.1912243607605169E-2
1.1600135113702561E-2 1.1295074500456135E-2
1.0996936629405587E-2 1.0705597609772173E-2
1.0420934814422592E-2 1.0142826894787077E-2
9.8711537947511439E-3 9.6057967635395751E-3
9.3466383676122835E-3 9.0935625015910529E-3
8.8464543982372315E-3 8.605200637499661E-3
8.3696891546530226E-3 8.1398092475460215E-3
7.9154515829799686E-3 7.6965082022373114E-3
7.4828725257805526E-3 7.2744393571412182E-3
7.0711048860194487E-3 6.8727666906139651E-3
6.6793237392026089E-3 6.4906763909933643E-3
6.3067263962659275E-3 6.1273768958236769E-3
5.9525324197758486E-3 5.7820988856694729E-3
5.615983595990969E-3 5.454095235056541E-3
5.2963438653110097E-3 5.1426409230539392E-3
4.9928992136123763E-3 4.8470329059789527E-3
4.7049575269339713E-3 4.5665899546701444E-3
4.4318484119380075E-3 4.3006524587304498E-3
4.1729229845239657E-3 4.0485822000944369E-3
3.9275536289247685E-3 3.8097620982218E-3

31. 3.6951337295590284E-3 3.5835959291623588E-3
3.4750773778549375E-3 3.3695080206774812E-3
3.2668190561999247E-3 3.1669429255400841E-3
3.0698133011047325E-3 2.9753650750682457E-3
2.883534347603434E-3 2.794258414879442E-3
2.7074757568406999E-3 2.6231260247810244E-3
2.5411500287265262E-3 2.4614897246407049E-3
2.3840882014648486E-3 2.3088896680064893E-3
2.2358394396885346E-3 2.1648839251710585E-3
2.0959706128579419E-3 2.0290480572997681E-3
1.9640658655043761E-3 1.900974683166082E-3
1.8397261808242825E-3 1.7802730399618721E-3
1.7225689390536767E-3 1.6665685395745784E-3
1.6122274719771231E-3 1.5595023216476915E-3
1.5083506148503073E-3 1.4587308046667472E-3
1.4106022569413861E-3 1.3639252362389E-3
1.3186608918227373E-3 1.2747712436618306E-3
1.2322191684730175E-3 1.1909683858061166E-3
1.1509834441784845E-3 1.112229707265567E-3
1.0746733401537367E-3 1.038281295661414E-3
1.0030213007342348E-3 9.6886184291984417E-4
9.3577215692747804E-4 9.0372221127752448E-4
8.7268269504576015E-4 8.4262500470690268E-4
8.1352123108180917E-4 7.8534414639247127E-4
7.5806719142870824E-4 7.3166446283030894E-4
7.0611070048803501E-4 6.8138127506689147E-4
6.5745217565467645E-4 6.342999975387576E-4
6.1190193011377298E-4 5.9023574492278658E-4
5.6927978383425066E-4 5.4901294735695719E-4
5.2941468309493378E-4 5.1046497434418473E-4
4.9214432883289312E-4 4.7443376760662064E-4
4.5731481405985762E-4 4.4076948311513327E-4
4.2478027055074997E-4 4.0933014247807736E-4
3.9440252496915552E-4 3.7998129383532076E-4
3.6605076455733496E-4 3.5259568236744541E-4
3.3960121248365478E-4 3.270529304963753E-4

32. 3.1493681290752236E-4 3.0323922782200309E-4
2.9194692579145951E-4 2.8104703080998584E-4
2.7052703146152073E-4 2.6037477221844247E-4
2.5057844489086075E-4 2.4112658022599367E-4
2.3200803965694276E-4 2.232120072001013E-4
2.1472798150036626E-4 2.0654576802322513E-4
1.9865547139277237E-4 1.9104748787459762E-4
1.8371249800245711E-4 1.7664145934757122E-4
1.6982559942934388E-4 1.6325640876624142E-4
1.5692563406553169E-4 1.5082527155051753E-4
1.4494756042389079E-4 1.3928497646575994E-4
1.3383022576488537E-4 1.2857623858162108E-4
1.2351616334102368E-4 1.1864336075456619E-4
1.1395139806886421E-4 1.0943404343980016E-4
1.0508526043040011E-4 1.0089920263081441E-4
9.687020839871926E-5 9.2992795718445907E-5
8.9261657177132928E-5 8.5671655056182163E-5
8.2217816536285556E-5 7.8895329014292803E-5
7.5699535530160942E-5 7.2625930302252324E-5
6.9670154369214326E-5 6.6827991336690609E-5
6.4095363227106096E-5 6.1468326430769434E-5
5.8943067756539645E-5 5.6515900580307204E-5
5.4183261089539955E-5 5.1941704622159769E-5
4.978790209801209E-5 4.7718636541204952E-5
4.5730799691601314E-5 4.3821388703758118E-5
4.1987502931617464E-5 4.0226340797264829E-5
3.8535196742086994E-5 3.6911458258666067E-5
3.5352603001773097E-5 3.3856195976827888E-5
3.2419886804213778E-5 3.1041407057850266E-5
2.9718567676442307E-5 2.8449256445844203E-5
2.723143555099251E-5 2.6063139195878251E-5
2.4942471290053535E-5 2.3867603200179601E-5
2.283677156514692E-5 2.184827617331647E-5
2.0900477900450482E-5 1.999179670692272E-5
1.9120709692817669E-5 1.8285749209547312E-5
1.7485501026639135E-5 1.6718602552365071E-5

33. 1.5983741106905475E-5 1.527965224676162E-5
1.4605118139152942E-5 1.3958965985154821E-5
1.3340066490355767E-5 1.2747332381833396E-5
1.2179716970268655E-5 1.1636212756042667E-5
1.111585007817779E-5 1.0617695805008393E-5
1.0140852065486758E-5 9.6844550200514709E-6
9.2476736700055675E-6 8.8297087043740503E-6
8.4297913832287412E-6 8.0471824564922952E-6
7.6811711172504553E-6 7.3310739886239449E-6
6.996234143270405E-6 6.6760201546074854E-6
6.3698251788670679E-6 6.0770660671110939E-6
5.7971825063572667E-6 5.5296361889840515E-6
5.2739100096013034E-6 5.0295072885924454E-6
4.7959510215525217E-6 4.5727831538641446E-6
4.3595638796716519E-6 4.155870964531179E-6
3.9612990910320609E-6 3.7754592267013287E-6
3.5979780135212474E-6 3.4284971784050389E-6
3.2666729639932752E-6 3.1121755791489445E-6
2.9646886685452831E-6 2.8239088007558108E-6
2.6895449742715136E-6 2.5613181408845308E-6
2.4389607458933522E-6 2.322216284597997E-6
2.2108388745684212E-6 2.1045928431831295E-6
2.0032523299485E-6 1.9066009031228006E-6
1.814431190182024E-6 1.7265445216770643E-6
1.6427505880450713E-6 1.5628671089492902E-6
1.4867195147342977E-6 Curve 2 -5 -4.99 -
4.9800000000000004 -4.97 -4.96 -4.95 -
4.9400000000000004 -4.93 -4.92 -4.91 -
4.9000000000000004 -4.8899999999999997 -4.88 -
4.87 -4.8600000000000003 -4.8499999999999996 -4.84
-4.83 -4.82 -4.8099999999999996 -4.8 -4.79
-4.78 -4.7699999999999996 -4.76 -4.75 -
4.74 -4.7300000000000004 -4.72 -4.71 -4.7 -
4.6900000000000004 -4.68 -4.67 -4.66 -
4.6500000000000004 -4.6399999999999997 -4.63 -
4.62 -4.6100000000000003 -4.5999999999999996 -4.59

34. -4.58 -4.57 -4.5599999999999996 -4.55 -
4.54 -4.53 -4.5199999999999996 -4.51 -4.5 -4.49
-4.4800000000000004 -4.47 -4.46 -4.45 -
4.4399999999999995 -4.43 -4.42 -4.41 -
4.4000000000000004 -4.3899999999999997 -4.38 -
4.37 -4.3600000000000003 -4.3499999999999996 -4.34
-4.33 -4.32 -4.3099999999999996 -4.3 -4.29
-4.28 -4.2699999999999996 -4.26 -4.25 -
4.24 -4.2300000000000004 -4.22 -4.21 -4.2 -
4.1899999999999995 -4.18 -4.17 -4.16 -
4.1500000000000004 -4.1399999999999997 -4.13 -
4.12 -4.1100000000000003 -4.0999999999999996 -4.09
-4.08 -4.07 -4.0599999999999996 -4.05 -
4.04 -4.03 -4.0199999999999996 -4.01 -4 -3.99
-3.98 -3.9699999999999998 -3.96 -3.95 -
3.94 -3.9299999999999997 -3.92 -3.91 -3.9 -
3.8899999999999997 -3.88 -3.87 -3.86 -
3.8499999999999996 -3.84 -3.83 -
3.8200000000000003 -3.81 -3.8 -3.79 -
3.7800000000000002 -3.77 -3.76 -3.75 -3.74
-3.73 -3.7199999999999998 -3.71 -3.7 -3.69
-3.6799999999999997 -3.67 -3.66 -3.65 -
3.6399999999999997 -3.63 -3.62 -3.61 -
3.5999999999999996 -3.59 -3.58 -
3.5700000000000003 -3.56 -3.55 -3.54 -
3.5300000000000002 -3.52 -3.51 -3.5 -3.49 -
3.48 -3.4699999999999998 -3.46 -3.45 -3.44 -
3.4299999999999997 -3.42 -3.41 -3.4 -
3.3899999999999997 -3.38 -3.37 -3.36 -
3.3499999999999996 -3.34 -3.33 -
3.3200000000000003 -3.31 -3.3 -3.29 -
3.2800000000000002 -3.27 -3.26 -3.25 -3.24
-3.23 -3.2199999999999998 -3.21 -3.2 -3.19
-3.1799999999999997 -3.17 -3.16 -3.15 -
3.1399999999999997 -3.13 -3.12 -3.11 -
3.0999999999999996 -3.09 -3.08 -

35. 3.0700000000000003 -3.06 -3.05 -3.04 -
3.0300000000000002 -3.02 -3.01 -3 -
2.9899999999999998 -2.98 -2.9699999999999998 -
2.96 -2.95 -2.94 -2.93 -2.92 -2.91 -2.9 -
2.89 -2.88 -2.87 -2.86 -2.85 -2.84 -2.83
-2.82 -2.81 -2.8 -2.79 -2.78 -2.77 -
2.76 -2.75 -2.7399999999999998 -2.73 -
2.7199999999999998 -2.71 -2.6999999999999997 -
2.69 -2.68 -2.67 -2.66 -2.65 -2.64 -2.63
-2.62 -2.61 -2.6 -2.59 -2.58 -2.57 -
2.56 -2.5499999999999998 -2.54 -2.5299999999999998
-2.52 -2.5099999999999998 -2.5 -
2.4899999999999998 -2.48 -2.4699999999999998 -
2.46 -2.4499999999999997 -2.44 -2.4300000000000002
-2.42 -2.41 -2.4 -2.39 -2.38 -2.37 -
2.36 -2.35 -2.34 -2.33 -2.3199999999999998 -
2.31 -2.2999999999999998 -2.29 -2.2799999999999998
-2.27 -2.2599999999999998 -2.25 -
2.2399999999999998 -2.23 -2.2199999999999998 -
2.21 -2.1999999999999997 -2.19 -2.1800000000000002
-2.17 -2.16 -2.15 -2.14 -2.13 -2.12
-2.11 -2.1 -2.09 -2.08 -2.0699999999999998
-2.06 -2.0499999999999998 -2.04 -
2.0299999999999998 -2.02 -2.0099999999999998 -2
-1.9899999999999998 -1.98 -1.9699999999999998
-1.96 -1.9499999999999997 -1.94 -
1.9299999999999997 -1.92 -1.9100000000000001 -
1.9 -1.8900000000000001 -1.88 -1.87 -
1.8599999999999999 -1.85 -1.8399999999999999 -
1.83 -1.8199999999999998 -1.81 -1.7999999999999998
-1.79 -1.7799999999999998 -1.77 -
1.7599999999999998 -1.75 -1.7399999999999998 -
1.73 -1.7199999999999998 -1.71 -1.6999999999999997
-1.69 -1.6799999999999997 -1.67 -
1.6600000000000001 -1.65 -1.6400000000000001 -
1.63 -1.62 -1.6099999999999999 -1.6 -

36. 1.5899999999999999 -1.58 -1.5699999999999998 -
1.56 -1.5499999999999998 -1.54 -1.5299999999999998
-1.52 -1.5099999999999998 -1.5 -
1.4899999999999998 -1.48 -1.4699999999999998 -
1.46 -1.4499999999999997 -1.44 -1.4299999999999997
-1.42 -1.4100000000000001 -1.4 -
1.3900000000000001 -1.38 -1.37 -
1.3599999999999999 -1.35 -1.3399999999999999 -
1.33 -1.3199999999999998 -1.31 -1.2999999999999998
-1.29 -1.2799999999999998 -1.27 -
1.2599999999999998 -1.25 -1.2399999999999998 -
1.23 -1.2199999999999998 -1.21 -1.1999999999999997
-1.19 -1.1799999999999997 -1.17 -
1.1600000000000001 -1.1499999999999999 -
1.1400000000000001 -1.1299999999999999 -
1.1200000000000001 -1.1099999999999999 -
1.1000000000000001 -1.0899999999999999 -1.08 -
1.0699999999999998 -1.06 -1.0499999999999998 -
1.04 -1.0299999999999998 -1.02 -1.0099999999999998
-1 -0.99000000000000021 -0.97999999999999954 -
0.96999999999999975 -0.96 -0.95000000000000018 -
0.9399999999999995 -0.92999999999999972 -
0.91999999999999993 -0.91000000000000014 -
0.90000000000000036 -0.88999999999999968 -
0.87999999999999989 -0.87000000000000011 -
0.86000000000000032 -0.84999999999999964 -
0.83999999999999986 -0.83000000000000007 -
0.82000000000000028 -0.80999999999999961 -
0.79999999999999982 -0.79 -0.78000000000000025 -
0.76999999999999957 -0.75999999999999979 -0.75 -
0.74000000000000021 -0.72999999999999954 -
0.71999999999999975 -0.71 -0.70000000000000018 -
0.6899999999999995 -0.67999999999999972 -
0.66999999999999993 -0.66000000000000014 -
0.64999999999999947 -0.63999999999999968 -
0.62999999999999989 -0.62000000000000011 -

37. 0.61000000000000032 -0.59999999999999964 -
0.58999999999999986 -0.58000000000000007 -
0.57000000000000028 -0.55999999999999961 -
0.54999999999999982 -0.54 -0.53000000000000025 -
0.51999999999999957 -0.50999999999999979 -0.5 -
0.49000000000000021 -0.47999999999999954 -
0.46999999999999975 -0.45999999999999996 -
0.45000000000000018 -0.4399999999999995 -
0.42999999999999972 -0.41999999999999993 -
0.41000000000000014 -0.39999999999999947 -
0.38999999999999968 -0.37999999999999989 -
0.37000000000000011 -0.36000000000000032 -
0.34999999999999964 -0.33999999999999986 -
0.33000000000000007 -0.32000000000000028 -
0.30999999999999961 -0.29999999999999982 -
0.29000000000000004 -0.28000000000000025 -
0.26999999999999957 -0.25999999999999979 -0.25 -
0.24000000000000021 -0.22999999999999954 -
0.21999999999999975 -0.20999999999999996 -
0.20000000000000018 -0.1899999999999995 -
0.17999999999999972 -0.16999999999999993 -
0.16000000000000014 -0.14999999999999947 -
0.13999999999999968 -0.12999999999999989 -
0.12000000000000011 -0.11000000000000032 -
9.9999999999999645E-2 -8.9999999999999858E-2-
8.0000000000000071E-2 -7.0000000000000284E-2-
5.9999999999999609E-2 -4.9999999999999822E-2-
4.0000000000000036E-2 -3.0000000000000249E-2-
1.9999999999999574E-2 -9.9999999999997868E-30
9.9999999999997868E-3 2.0000000000000462E-2
3.0000000000000249E-2 4.0000000000000036E-2
4.9999999999999822E-2 6.0000000000000497E-2
7.0000000000000284E-2 8.0000000000000071E-2
8.9999999999999858E-2 0.10000000000000053
0.11000000000000032 0.12000000000000011
0.12999999999999989 0.13999999999999968

38. 0.15000000000000036 0.16000000000000014
0.16999999999999993 0.17999999999999972
0.19000000000000039 0.20000000000000018
0.20999999999999996 0.21999999999999975
0.23000000000000043 0.24000000000000021 0.25
0.25999999999999979 0.27000000000000046
0.28000000000000025 0.29000000000000004
0.29999999999999982 0.3100000000000005
0.32000000000000028 0.33000000000000007
0.33999999999999986 0.35000000000000053
0.36000000000000032 0.37000000000000011
0.37999999999999989 0.38999999999999968
0.40000000000000036 0.41000000000000014
0.41999999999999993 0.42999999999999972
0.44000000000000039 0.45000000000000018
0.45999999999999996 0.46999999999999975
0.48000000000000043 0.49000000000000021 0.5
0.50999999999999979 0.52000000000000046
0.53000000000000025 0.54 0.54999999999999982
0.5600000000000005 0.57000000000000028
0.58000000000000007 0.58999999999999986
0.60000000000000053 0.61000000000000032
0.62000000000000011 0.62999999999999989
0.63999999999999968 0.65000000000000036
0.66000000000000014 0.66999999999999993
0.67999999999999972 0.69000000000000039
0.70000000000000018 0.71 0.71999999999999975
0.73000000000000043 0.74000000000000021 0.75
0.75999999999999979 0.77000000000000046
0.78000000000000025 0.79 0.79999999999999982
0.8100000000000005 0.82000000000000028
0.83000000000000007 0.83999999999999986
0.85000000000000053 0.86000000000000032
0.87000000000000011 0.87999999999999989
0.88999999999999968 0.90000000000000036
0.91000000000000014 0.91999999999999993

39. 0.92999999999999972 0.94000000000000039
0.95000000000000018 0.96 0.96999999999999975
0.98000000000000043 0.99000000000000021 1
1.0099999999999998 1.0200000000000005
1.0300000000000002 1.04 1.0499999999999998
1.0600000000000005 1.0700000000000003 1.08
1.0899999999999999 1.1000000000000005
1.1100000000000003 1.1200000000000001
1.1299999999999999 1.1400000000000006
1.1500000000000004 1.1600000000000001 1.17
1.1799999999999997 1.1900000000000004
1.2000000000000002 1.21 1.2199999999999998
1.2300000000000004 1.2400000000000002 1.25
1.2599999999999998 1.2700000000000005
1.2800000000000002 1.29 1.2999999999999998
1.3100000000000005 1.3200000000000003 1.33
1.3399999999999999 1.3500000000000005
1.3600000000000003 1.37 1.38 1.3900000000000006
1.4000000000000004 1.4100000000000001 1.42
1.4299999999999997 1.4400000000000004
1.4500000000000002 1.46 1.4699999999999998
1.4800000000000004 1.4900000000000002 1.5
1.5099999999999998 1.5200000000000005
1.5300000000000002 1.54 1.5499999999999998
1.5600000000000005 1.5700000000000003 1.58
1.5899999999999999 1.6000000000000005
1.6100000000000003 1.62 1.63 1.6400000000000006
1.6500000000000004 1.6600000000000001 1.67
1.6799999999999997 1.6900000000000004
1.7000000000000002 1.71 1.7199999999999998
1.7300000000000004 1.7400000000000002 1.75
1.7599999999999998 1.7700000000000005
1.7800000000000002 1.79 1.7999999999999998
1.8100000000000005 1.8200000000000003 1.83
1.8399999999999999 1.8500000000000005
1.8600000000000003 1.87 1.88 1.8900000000000006

40. 1.9000000000000004 1.9100000000000001 1.92
1.9299999999999997 1.9400000000000004
1.9500000000000002 1.96 1.9699999999999998
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2.0099999999999998 2.0200000000000005
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2.2599999999999998 2.2700000000000005
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3.0199999999999996 3.0299999999999994
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4.01 4.0199999999999996 4.0299999999999994
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4.2927674713261209E-32 5.4560856741868064E-32
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57. 0.000.010.020.030.040.050.060.070.080.09
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