Mean Median Outliers

The prices at several different stores for a pair of shoes are shown below.
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

• Only the range was affected.

• The median increased, and the range increased.

• The mean increased, and the range increased.

• The mean decreased and the range increased.

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.

A data set is shown below.
56, 64, 73, 59, 98, 65, 59
If the outlier is removed from the data set, which measure of central tendency will be least affected?

• range

• mode

• median

• mean

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

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

Given the following data set What is the mean of the data set without the outlier(s)?

• 9.2

• 9.7

• 11.1

• 12.4

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.

Identify the outlier for the given data?

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

• 7

• 23

• 31

• 34

What is the outlier in the following data?

11, 19, 17, 8, 37, 11, 19, 16, 22

• 22

• 8

• 37

• 22

Which of the following numbers is the outlier?

• 75

• 34

• 95

• 100