# Lesson Worksheet: Best Measure of Variability Mathematics • 6th Grade

In this worksheet, we will practice choosing and evaluating the appropriate measure of the variability for a given data set.

**Q1: **

Calculate the range of the data for the data set .

Is the range the best measure of variability for the given data?

- ANo
- BYes

**Q2: **

When the data contains outliers, which of the following is the best measure of variability?

- AThe mode
- BThe interquartile range
- CThe variance
- DThe range
- EThe standard deviation

**Q3: **

Which of the following statements is **not** true?

- AThe interquartile range is found by subtracting the lower quartile from the upper quartile.
- BThe interquartile range is the only measure of variability.
- CThe range is the best measure of variability if the data has no outliers.
- DIf the data has outliers, then the interquartile range is the best measure of variability.
- EVariability refers to how spread out a group of data is.

**Q4: **

Mia’s weekly savings, in dollars, over five weeks are as follows: .

Find the range of Mia’s savings.

Find the interquartile range of Mia’s savings.

Which of them is a better measure of the variability?

- ARange
- BInterquartile range

**Q5: **

What measures the variability of the data set better, the range or the interquartile range?

- AInterquartile range
- BRange

Find the value of this measure.

**Q6: **

The following table shows the number of books donated by 8 children.

Student Name | James | Jackson | Charlotte | Olivia | Natalie | Matthew | Liam | Scarlett |
---|---|---|---|---|---|---|---|---|

Number of books | 2 | 4 | 2 | 7 | 8 | 9 | 18 | 3 |

Determine the range of the data.

Find the interquartile range of the data.

Which of them is a better measure of the variability?

- ARange
- BInterquartile range

**Q7: **

Determine the range of the data set .

Find the interquartile range of the data.

Which of the two is the appropriate measure of variability for the given data set?

- ARange
- BInterquartile range

**Q8: **

What measures the variability of the data set 6, 9, 15, 13, 21, 18, 3 better, the range or the interquartile range?

- AInterquartile range
- BRange

Find the value of your choice.

**Q9: **

Consider the data set 0, 1, 1, 6, 8, 8, 9, 9, 11, 13. Calculate the interquartile range of the data.

Which is the best measure of variability for the given data, the range or the interquartile range?

- AThe range
- BThe interquartile range