Measures of Variation Worksheet
Grade 9 Math worksheet focusing on range, interquartile range, variance, and standard deviation.
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Measures of Variation
Name:
Date:
Score:
Read each question carefully and provide clear, concise answers. Show all your work where applicable.
1. Find the range of the following data set:
23, 15, 30, 20, 18, 25, 10
2. The highest temperature recorded in a week was 32°C and the lowest was 18°C. What is the range of temperatures for the week?
3. Calculate the Interquartile Range (IQR) for the given data set:
5, 8, 12, 15, 16, 20, 22, 25, 28
4. The following data represents the number of points scored by a basketball team in their last 9 games: 78, 85, 92, 70, 80, 88, 95, 75, 82. Find the IQR.
5. For the data set {10, 12, 14, 16, 18}, calculate the variance.
6. Using the same data set from question 5, calculate the standard deviation.
7. Which measure of variation is least affected by outliers?
Range
Interquartile Range
Standard Deviation
Variance
8. A smaller standard deviation indicates that the data points are spread out more widely from the mean.
True
False
9. Consider the following box plot showing the distribution of test scores for two classes:
a) Which class has a larger range of scores?
b) Which class has a more consistent performance (smaller IQR)?