Mean Median Mode Outliers

When finding the median, what do you do if there are two middle numbers?

• Add them together and divide by 2

• Write them both as the answer

• Give up

• Pick one

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease

• The median will decrease

• The mean will increase

• The median will increase

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

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

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.

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.

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