Outliers Mean and Median

Jacob recorded the ages of the people at a picnic. The data set is listed below.
12, 12, 14, 15, 16, 20, 24, 28, 32, 35, 36
What effect does the arrival of Jacob’s 72-year old grandfather have on the difference between the mean and the median ages of people at the picnic?

• The difference increases by about 2.1.

• The difference increases by about 3.3

• The difference increases by about 4.1

• The difference increases by about 4.3

The hourly salaries of the workers at a restaurant are shown below.
$7.75, $8.50, $7.25, $9.00, $30.00, $8.25, $7.75, $9.00
Which statement is true?

• The worker who earns $7.25 an hour causes the mean to be a better representation of the typical salary than the median.

• The worker who earns $7.25 an hour causes the median to be  a better representation of typical salary than the mean.

• The worker who earns $30.00 an hour causes the mean to be a better representation of the typical salary than the median.

• The worker who earns $30.00 an hour causes the median to be a better representation of the typical salary than the mean.

A bowler had the following scores after 5 games:
 196, 205, 197, 280, and 202.
How much does the bowler’s mean score increase if the outlier is considered, compared to if the outlier is not considered?

• 13

• 16

• 19

• 22

The data below represent the ages of several people in a class.What effect does Mr. Smith’s age have on the data set?

• Mr. Smith’s age increases the mode of the data.

• Mr. Smith’s age decreases the mean of the data.

• Mr. Smith’s age increases the mean of the data.

• Mr. Smith’s age increases the median of the data.

The table shows the lengths of fences that a company installed during a week. Which statement is true?

• The 275-foot fence caused the mean to be significantly lower than the median.

• The 275-foot fence caused the median to be significantly lower than the mean.

• The 2,250-foot fence caused the mean to be significantly greater than the median.

• The 2,250-foot fence caused the median to be significantly greater than the mean.

A value that is much higher or much lower than the other values in a set of data.

• Outlier

• Mean

• Median

• Mode

Given the following data set 6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14 What is the mean of the data set without the outlier(s)?

• 9.2

• 9.7

• 11.1

• 12.4

Identify the outlier for the given data?

23, 34, 27, 7, 30, 26, 28, 31, 34

• 7

• 23

• 31

• 34

Your math grades are 90, 85, 0, 90, 80, 100, and 90. Which grade is the outlier?

• 90

• 0

• 80

• 100

Identify the outlier for the given data?

23, 34, 27, 7, 30, 26, 28, 31, 34

• 7

• 23

• 31

• 34