Mean Median Mode and Range Outliers

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

If 20 is added to the data set below, which statement will be true?
50, 55, 55, 60, 62

• The median will be 20

• The mode will increase

• The mean will increase

• The mean will decrease

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

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

A data set contains only one outlier. Which statistical measure will most likely remain the same if the outlier is removed?

• Mean

• Mode

• Range

• Standard deviation

It's the number you get when you add all the numbers together and then divide by the amount of numbers you have.

• mean

• median

• mode

• range

It's the number that occurs the most times in a set of data.

• mean

• median

• mode

• range

What is the median of the following set of data?

• 25

• 23

• 14

• 21