Measures of Variation
Explore range, interquartile range (IQR), and mean absolute deviation (MAD) with this Grade 6 math worksheet.
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Measures of Variation
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where necessary.
1. What is the range of a data set? Explain in your own words.
2. Find the range of the following data set: 12, 15, 9, 20, 18, 10.
3. The interquartile range (IQR) is the difference between the quartile and the quartile.
4. For the data set: 5, 8, 10, 12, 15, 18, 20, the median is .
5. Using the same data set (5, 8, 10, 12, 15, 18, 20), the first quartile (Q1) is and the third quartile (Q3) is .
6. Calculate the IQR for the data set: 5, 8, 10, 12, 15, 18, 20. The IQR is .
7. Which measure of variation describes the average distance between each data point and the mean?
Range
Median
Mean Absolute Deviation
Interquartile Range
8. A data set has a mean of 10. The absolute deviations from the mean are 2, 3, 1, 4. What is the Mean Absolute Deviation (MAD)?
2
2.5
3
3.5
9. Calculate the Mean Absolute Deviation (MAD) for the following data set: 8, 10, 12, 14, 16. Show your steps.
Step 1: Find the mean.
Step 2: Find the absolute deviation of each data point from the mean.
Step 3: Find the mean of these absolute deviations.
10. A larger range always means that the data points are more spread out.
True
False
11. The IQR is less affected by outliers than the range.
True
False
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