Spss&tora

EX.NO:01 ANALYSIS DESCRIPTIVE MEASURES ON
DATE:08.03.10
STUDENTS MARKS

The marks of 12 students in mathematics are as follows:

Students 1 2 3 4 5 6 7 8 9 10 11 12
Marks 45 67 78 98 100 72 91 34 94 61 82 92

CALCULATE THE FOLLOWING:

1.CENTRL TENDENCY

MEAN
MEDIAN
MODE
SUM

2. DISPERSION

STANDARD DEVIATION
VARIANCE
RANGE
MINIMUM
MAXIMUM
S.E.MEAN

3.DISTRIBUTION

SKEWNESS
KURTOSIS

1

AIM:

To analysis the descriptive measures of students marks using SPSS

ALGORITHM:

STEP1: Open SPSS software 13.0

STEP2: Click and select „Data view‟

STEP3: Type the marks of the students in the marks column

STEP4: Click on <Analyze><Descriptive statistics><Frequencies>

STEP5: Select the marks and click on the scrollbar

STEP6: Click on the “Statistics bar” and select all central tendency and
dispersion, distribution boxes then click on continue and “ok

STEP7: Solve the solution tables and Generate reports.

2

RESULT:

Thus, the descriptive measures like central tendency, dispersion and
distribution of student‟s marks are analyzed and output is verified using SPSS 13.0.

5

EX.NO:02 DIAGRAMMATIC ANALYSIS ON
DATE:08.03.10
STUDENTS MARKS

The Quiz final marks are as follows:

Name Suji Ravi Bini Devi Sumi Siji Vani Gayana Deepa Saji Suthi Cibi
Marks 45 67 78 98 100 72 91 34 94 61 82 92

FIND THE FOLLOWING:

1. Frequencies
2. Bar graph
3. pichart
4. histogram
5. Create a title for the above

AIM:

To analysis students marks diagrammatically using SPSS 13.0

ALGORITHM:



STEP3: Type the final marks of the students in the marks column

STEP4: Click on <Analyze><Descriptive statistics><Frequencies>

STEP5: Select the marks and click on the scrollbar

STEP6: Click on the “Charts “and select bar graph, pichart, histogram then click
On continue and “ok”

STEP7: Type the name of the charts and Generate reports.

6

FINAL QUIZ MARKS DETAILS:

10

RESULT:

Thus, students marks has diagrammatically been analyzed and output is verified
using SPSS 13.3.

11

EX.NO:03 HYPOTHESIS TESTING ON SALES AND
DATE:15.3.10 EXPENDITURE DATA(T-TEST)

The Following data have been taken from the marketing company

sales 50 55 67 74 80 85 89 95 98 99 100 110
Expenditure 45 67 78 98 100 72 91 34 94 61 86 89

From the above data find out:

1.Means
2.One sample T- test
3.One way ANOVA

AIM:

To analysis sales and expenditure using T-Test

ALGORITHM:



STEP3: Type the sales and expenditure of the company

STEP4: Click on <Analyze><compare means><one sample T test>
<One-Way ANOVA>

STEP5: Select the sales and click on the scrollbar

STEP6: Select the Expenditure and click on the scrollbar and click “ok”

STEP7: solve the solution tables and Generate reports.

12

RESULT:

Thus, Sales and Expenditure are analyzed by T – test and output is

Verified using SPSS 13.0.

17

EX.NO:04 CHI SQUARE TESTING ON PERFORMANCE IN
DATE:15.3.10 STRESSFULL SITUATION

The Following data have been taken the test of mental performance in stress full situation
for 10 boys and10 girls

Boys 2 2 4 1 4 3 0 2 7 5
Girls 4 4 6 0 6 5 2 3 6 4

Analysis the above data using chi square test

AIM:

To analysis the performance in stress full situation using chi-square test

ALGORITHM:



STEP3: Type the boys and girls mental performance

STEP4: Click on <Analyze><non parametric test><chi square test>

STEP5: Select the boys and click on the scrollbar

STEP6: Select the girls and click on the scrollbar and click “ok”

STEP7: solve the solution tables and Generate reports

18

RESULT:

Thus, the performance in stress full situation by using Chi-Square test is
analyzed.

20

EX.NO:05 FINDING THE CORRELATION
DATE:23.3.10
COEFFICIENT

Calculate the Karl Pearson correlation coefficient for the following data

x 28 41 40 38 35 33 40 32 36 33
y 23 34 33 34 30 26 28 31 36 38

Aim:

To find the correlation coefficient using SPSS

ALGORITHM:



STEP3: Type the X and Y values

STEP4: Click on <Analyze><correlate><Bivarite><Pearson>

STEP5: Select the x and y and click on the scrollbar

STEP6: Click “ok” to solve the solution tables

STEP7: Generate reports

21

RESULT:

Thus, correlation coefficient is found out and verified the output using SPSS 13.0

23

EX.NO:06 FINDING THE REGRESSION
DATE:23.3.10

Calculate the regression for the following data

X 1 5 3 2 1 1 7 3
Y 6 1 0 0 1 2 1 3

Aim:

To find the Regression using SPSS 13.0

ALGORITHM:

STEP1: Open spss Package 13.0


STEP3: Type the X and Y values

STEP4: Click on <Analyze><regression><linear>

STEP5: Select the x click on the scrollbar of dependent

STEP6: Select the y click on the scrollbar of independent

STEP7: click “ok” to solve the solution tables Generate reports

24

RESULT:

Thus Regression is found out and output is verified using SPSS 13.0

26

EX.NO:07 LINEAR PROGRAMMING PROBLEM
DATE:30.3.10
Problem :

Max Z=15x1+6x2+9x3+2x4.

Subject to the constraints,

2x1+x2+5x3+6x4≤20
3x1+x2+3x3+25x4≤24
7x1+x4≤70.
x1,x2,x3,x4≥0

Aim:

To solve the Linear Programming Problem using the TORA.

ALGORITHM:

STEP1: Open the TORA software

STEP2: Choose the type of problem to be solved

STEP3: Enter the problem

STEP4: Save the problem using F8key

STEP5: View the given data to ensure the correctness of given problem

STEP6: Solve the problem either by automated procedure or user guided
Procedure.

STEP7: view the solution and print the solution

27

RESULT:

Thus, Linear Programming Problem is solved and output is
verified using TORA software.

32

EX.NO:08 TRANSPORTATION PROBLEM
DATE:07.4.10

Problem:
A company has factories at three different bases S1, S2, S3. Which supply item to
warehouse D1, D2, D3 monthly factory capacity are 140,160,120 respectively.

Monthly warehouse requirements are 100, 160, and 70 respectively. Unit shipping
cost are given (rupees) in following details.

Plant D1 D2 D3 D4 Supply

S1 16 19 12 0 140

S2 12 13 19 0 160

S3 14 28 8 0 120

Demand 100 150 70 100 420

Aim:

To solve the Transportation Problem using the TORA software.

ALGORITHM:




STEP4: Save the problem using F8key


33

Procedure


34

RESULT:

Thus, the Transportation Problem is solved and output is verified
using TORA software.

37

EX.NO:09 QUEUING PROBLEM
DATE:13.5.10

Problem:
A television repairman finds that the time spent on his jobs has an
exponential distribution with a mean of 30 minutes. If he repairs sets in the order in
which they came in, and if the arrival of sets follows a Poisson distribution
approximately with an average rate of 10 per 8-hour day, what is the repairman‟s
expected idle time each day? How many jobs are ahead of the average set just
brought in?

Aim:

To solve the Queuing Problem using the TORA software.

Steps to be followed:




STEP4: Save the problem using F8 key

STEP5: View the given data to ensure the correctness of given data

Procedure


38

RESULT:

Thus the Queuing problem is solved and output is verified using
TORA software.

40

EX.NO:10 INTEGER LINEAR PROGRAMMING
DATE19.5.10

Problem:

Solve the following integer linear programming using Gomory‟s cutting
plane algorithm.

Max Z=x1+2x2.

Subject to the constraints,

2x2 ≤ 7
x1+x2 ≥ 7
2x1 ≥ 11
x1,x2 ≥ 0

Aim:

To solve the Integer Linear Programming Problem using the TORA software.

ALGORITHM:






Procedure


41

RESULT:

Thus, the Integer Linear Programming Problem is solved and
output is verified using TORA software.

43

EX.NO:11 NETWORK MODELS
DATE:20.5.10

Problem:
Consider the details of a distance network as shown below.
Arc Distance
1-2 3
1-3 8
1-4 10
2-3 4
2-4 7
3-4 2
3-5 8
4-5 6
Apply Floyd‟s algorithm and obtain the final matrices using TORA.

Aim:

To solve the Network models Programming Problem using the TORA
Software.

ALGORITHM:






Procedure


44

RESULT:

Thus, the Integer Linear Programming Problem is solved and
output is verified using TORA software.

47

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