Data Outliers

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

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 data set below:
15, 56, 58, 60, 63, 75, 80, 80, 85
How does the outlier affect the distribution of the data?

• The outlier skews the distribution to the left.

• The outlier skews the distribution to the right.

• The outlier makes the distribution more symmetrical.

• The outlier has no effect on the distribution.

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

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

• Box Plot

• Range

• Histogram

If $88,000 was found to be an outlier, which salary would be the new maximum?

• $55,000

• $28,000

• $88,000

• $72,000

When using IQR to find outliers, which formula will identify the lower limit?

• 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)