1. The document provides instructions and examples for calculating mean, median, mode, and range from data sets.
2. It explains how to find the number of ounces in a bag of cat litter and servings in a can of potato chips by setting up and solving division problems.
3. Robin's running times are used to demonstrate calculating the mean, median, mode, and range of a data set.
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
11:00 Math Week 1 Tuesday
1. • 1. Review: Division with Decimals
• 2. Data Vocabulary (Mean, Median, Mode,
Range)
• 3. Working with Data
• 4. Practice
2. • A bag of cat litter costs $11.73. Each ounce
costs $1.20. How many ounces are there in the
bag? Step 1: Set up the Step 2: Move the decimal in
division problem. You are the divisor to the right to
trying to find how many make it a whole number.
Then, move the decimal in
$1.20’s are in $11.73.
the dividend the same
number of places.
)
)
Step 3: Divide
9.775 ounces
)
3. • One serving of potato chips is 1.75 ounces.
The entire can of chips holds 15.75 ounces.
How many servings are in the can?
4. • Data is information that is collected and
analyzed.
• The mean is the average value of a data set.
• The median is the middle value of a data set
listed in order from least to greatest.
• The mode is the item that occurs most often
in a data set.
• The range is the difference between the
greatest and least items of a data set.
5. • Robin is training for • Find the mean of
a 5-kilometer race. Robin’s running
Each day she runs 5
kilometers and data.
records her time to •Step 1: Find the sum of all the items
in the data set. 154
the nearest minute.
Here is the data she •Step 2: Count the number of items
in the data set. 7
collected one week:
20, 24, 22, 22, 21, 2 •Step 3: Divide the sum by the
number of items in the data set.
0, 25.
154 ÷ 7 = 22 minutes
6. • Robin is training for • Find the median of
a 5-kilometer race. Robin’s running
Each day she runs 5
kilometers and data.
records her time to •Step 1: List items in order from least to
greatest.
the nearest minute. 20, 20, 21, 22, 22, 24, 25
Here is the data she •Step 2: Count the number of items in the
data set.
collected one week: 7 items
20, 24, 22, 22, 21, •Step 3: If the number of items is
odd, identify the middle value of the ordered
20, 25. list.
20, 20, 21, 22, 22, 24, 25
The median is 22 minutes.
7. •Step 1: List items in order from least to
• Find the median of greatest. 20, 20, 21, 22, 22, 24
this data: •Step 2: Count the number of items in the
20, 24, 22, 22, 21, data set.
6 items
20. •Step 3: If the number of items is even, find
the average (mean) of the two middle values.
20, 20, 21, 22, 22, 24
21 + 22
= 43 ÷ 2 = 21.5
2
8. • Robin is training for • Find the mode of
a 5-kilometer race. Robin’s running
Each day she runs 5
kilometers and data.
records her time to •Step 1: Group items in the data set that
are the same.
the nearest minute.
20, 20 21 22,22 24 25
Here is the data she •Step 2: Find the item(s) that occur(s)
most often. A data set can have one, more
collected one week: than one, or no modes.
20, 24, 22, 22, 21,
•The mode for this data set is 20 minutes
20, 25. and 22 minutes.
9. • Robin is training for • Find the range of
a 5-kilometer race. Robin’s running
Each day she runs 5
kilometers and data.
records her time to •Step 1: Identify the items with the
greatest value and the least value.
the nearest minute.
Here is the data she 25 20
•Step 2: Subtract.
collected one week:
20, 24, 22, 22, 21, 2 25-20 = 5
•The range is 5 minutes.
0, 25.
10. • 1-4: Refer to Barbara’s Running Data. Find
each measure. Round to the nearest minute,
if necessary.
• 5-12: Find the measure for the given data.
• 13-18: Solve (These are challenging)
• 19-22: Matching