Understanding Measures of Center and Spread

A data set of test scores is approximately symmetric with no outliers. Which measure of center is most appropriate to describe the typical score?

• Mean

• Median

• Mode

• Range

• Interquartile range

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which of the following statistics is not resistant to outliers?

• Median

• IQR

• Standard deviation

• Range

• Both C and D

Tags

CCSS.6.SP.A.3

A histogram of household incomes is strongly skewed to the right. Which measure of center and spread should be used to summarize the data?

• Mean and standard deviation

• Median and IQR

• Mode and range

• Mean and range

• Median and standard deviation

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

The five-number summary of a data set is: Min = 20, Q1 = 35, Median = 50, Q3 = 70, Max = 90. What is the interquartile range (IQR)?

• 20

• 30

• 35

• 50

• 70

Tags

CCSS.6.SP.B.5C

If all the data in a set are increased by 10, how are the mean and standard deviation affected?

• Mean increases by 10; standard deviation stays the same

• Mean stays the same; standard deviation increases by 10

• Both increase by 10

• Mean increases by 10; standard deviation increases by 10

• Neither changes

Which measure of spread is most appropriate for a symmetric data set with no outliers?

• Range

• Standard deviation

• IQR

• Median

• Mode

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which measure of center is most affected by extreme values (outliers)?

• Mean

• Median

• Mode

• IQR

• Range

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

If a data set is skewed to the right, which measure of center is typically greater?

• Mean

• Median

• Mode

• IQR

• Range

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What is the formula for the interquartile range (IQR)?

Tags

CCSS.6.SP.B.5C

Which of the following is NOT a measure of center?

• Mean

• Median

• Mode

• Range

• All of the above

Tags

CCSS.6.SP.A.3