Outliers and Fences

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

The table below shows the lengths of fences 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 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

Which data point did the statistician exclude?

• (2.3, 11.0)

• (4.2, 16.5)

• (6.4, 23.1)

• (8.2, 24.3)

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

Points above the upper fence and/or below the lower fence are called

(a)  

How many outliers are there for this boxplot?

• 6

• 3

• 5

• None

What is the purpose of finding fences?

• Helps find the mean and mode

• Helps determine the standard deviaiton of data

• Helps determine if there are points of discontinuity

• Helps you identify if you have outliers or not