Measures of Variation Worksheet
Grade 8 Math worksheet covering measures of variation including range, interquartile range, mean absolute deviation, and their applications.
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Measures of Variation
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Read each question carefully and answer to the best of your ability. Show all your work for calculation questions.
1. The is the difference between the highest and lowest values in a data set.
2. The Interquartile Range (IQR) is the difference between the quartile and the quartile.
3. Mean Absolute Deviation (MAD) measures the average distance between each data point and the .
1. Which measure of variation is least affected by outliers?
Range
Mean Absolute Deviation
Interquartile Range
Mean
2. For the data set {5, 8, 12, 15, 20}, what is the range?
15
12
8
5
1. Consider the following data set: {10, 12, 15, 18, 20, 22, 25}.
a. Find the range of the data set.
b. Find the median of the data set.
c. Find the first quartile (Q1) and the third quartile (Q3).
d. Calculate the Interquartile Range (IQR).
2. The daily temperatures (in °C) for a week are: {20, 22, 18, 25, 23, 19, 21}.
a. Calculate the mean temperature.
b. Calculate the Mean Absolute Deviation (MAD) for the temperatures.
1. A larger range always indicates more consistent data.
True
False
The following bar graph shows the number of books read by students in a reading challenge. Use the graph to answer the questions.
1. What is the range of the number of books read?
2. If a new student, Student G, read 30 books, how would that affect the range?
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