Position and Outliers

A positive z score indicates that the value is

• above the mean

• below the mean

• equals the mean

• indicates a big standard deviation

A z score of zero indicates that the value is

• above the mean

• below the mean

• equals the mean

• shows the mean is big

The average score on a test is 85 with a standard deviation of 8. Find the corresponding z score for the value of 75. Round to the nearest hundredth.

Tags

CCSS.HSS.ID.A.4

The average salary at a particular company is $55,675. If the standard deviation is $9,550, find the salary corresponding to a z score of 1.67. Label units in your answer and round to the nearest dollar.

Tags

CCSS.HSS.ID.A.4

Check all values indicated that are outliers for the following data set using the interquartile range:

5, 6, 12, 13, 15, 18, 22, 50

• 5

• 6

• 22

• 50

• There are no outliers

The Cleveland Browns scored 6, 35, 34, 49, 32, 7, 37, and 6 points in the first 8 weeks of the 2020 season. Find the mean and standard deviation of the sample of games from the 2020 season. Can any of the points scored be considered unusual using z scores? Check all that apply.

• 49 is an outlier

• 6 is an outlier

• There are no outliers.

Create an interval using [Q₁ - 1.5*IQR, Q₃ + 1.5IQR] to identify any outliers in the following:

18, 18, 19, 18, 18, 25, 29, 30, 26, 19

• 30

• 18

• 29, 30

• No outliers

Create an interval using [Q₁ - 1.5*IQR, Q₃ + 1.5IQR] to identify any outliers in the following:

38, 39, 39, 40, 40, 41, 42, 42, 43, 44, 54, 88

Check all that are outliers.

• 38

• 54

• 39

• 88

What measure of center is not resistant to outliers?

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which measure of dispersion is not resistant to outliers? Check all that apply.

• Range

• Standard deviation

• IQR or interquartile range

• median

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2