Measures of Variation Worksheet

Grade 8 Math worksheet covering measures of variation including range, interquartile range, mean absolute deviation, and their applications.

Grade 8 Math Data and GraphingStatisticsMeasures of Variation

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.8.SP.A.1CCSS.MATH.CONTENT.8.SP.A.2

Topics

mathgrade 8measures of variationrangeinterquartile rangemean absolute deviationstatistics

7 sections · Free to use · Printable

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?

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?