Measures of Variation Worksheet
A Grade 10 math worksheet focusing on calculating and interpreting measures of variation, including range, interquartile range, variance, and standard deviation.
Includes
Standards
Topics
Measures of Variation
Name:
Date:
Score:
Read each question carefully and provide clear, well-supported answers. Show all your work for calculation questions.
1. The is the difference between the highest and lowest values in a data set.
2. The is a measure of how spread out the middle 50% of the data is.
3. is the average of the squared differences from the mean.
4. The square root of the variance is the .
Consider the following data set: {12, 15, 18, 20, 22, 25, 28, 30}
5. Calculate the range of the data set.
6. Find the interquartile range (IQR) of the data set.
Consider the following data set: {5, 7, 8, 10, 12, 16}
7. Calculate the variance of the data set. (Round to two decimal places if necessary)
8. Calculate the standard deviation of the data set. (Round to two decimal places if necessary)
9. Which measure of variation is most affected by outliers?
Interquartile Range
Standard Deviation
Range
Mean Absolute Deviation
10. A small standard deviation indicates that the data points are:
Widely spread out
Close to the mean
Skewed to one side
Bimodal
11. Two classes took the same math test. Class A had a mean score of 80 with a standard deviation of 5. Class B had a mean score of 80 with a standard deviation of 12. Which class had more consistent scores? Explain your reasoning.