# Measures of Center and Variation (Grade 6)

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## Measures of Center and Variation

1.

Which of the following measures variation for a set of numbers?

- mode
- mean
- range
- median

2.

Which mathematical operation is used to calculate the range of a data set?

- addition
- subtraction
- multiplication
- division

3.

Look at the data set:

3, 4, 2, 9, 2, 3

Which number is an outlier of the data set?

3, 4, 2, 9, 2, 3

Which number is an outlier of the data set?

- 2
- 3
- 4
- 9

4.

What is the value of the interquartile range of the numbers below?

10, 12, 15, 17, 19, 20

10, 12, 15, 17, 19, 20

- 7
- 10
- 12
- 16

5.

Find the mean of 1, 5, and 6. What would happen to the mean if each of those numbers were increased by 3?

- The mean would stay the same.
- The mean would increase by 3.
- The mean would decrease by 3.
- Not enough information given to determine.

6.

Use the data set to answer the questions.

Marcus records the following outdoor temperatures each hour from 9:00 a.m. to 3:00 p.m.:

[math]56^deg, 59^deg, 60^deg, 63^deg, 70^deg, 73^deg, 70^deg[/math]

Marcus records the following outdoor temperatures each hour from 9:00 a.m. to 3:00 p.m.:

[math]56^deg, 59^deg, 60^deg, 63^deg, 70^deg, 73^deg, 70^deg[/math]

A.

What is the range of the temperatures?

- 17
- 63
- 64
- 70

B.

What is the mean of the temperatures?

- 17
- 63
- 64
- 70

C.

What is the median of the temperatures?

- 17
- 63
- 64
- 70

D.

Which correctly shows how to calculate the range of the temperatures?

- [math]73^deg + 56^deg[/math]
- [math]73^deg - 56^deg[/math]
- [math]70^deg + 56^deg[/math]
- [math]70^deg - 56^deg[/math]

E.

Marcus records one more temperature reading at 4:00 p.m. Which of the following temperatures would change the range of the data set?

- [math]56^deg[/math]
- [math]63^deg[/math]
- [math]70^deg[/math]
- [math]74^deg[/math]

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