Effects of an Outlier

A value that is much higher or much lower than the other values in a set of data.

• Outlier

• Box Plot

• Range

• Histogram

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

Gabriella’s quiz grades are shown below. 88, 90, 92, 96, 98 Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase and the mean to decrease

• The low score causes the median to decrease and the mean to increase

• The low score causes the median to increase and the mean to increase.

• The low score causes the median to decrease and the mean to decrease.

The data below represent the ages of several people in a class. What effect does Mr. Smith’s age have on the data set? Select ALL that APPLY.

• Mr. Smith’s age increases the range of the data.

• Mr. Smith's age skews the data to the left.

• Mr. Smith’s age increases the mean of the data.

• Mr. Smith’s age increases the median of the data.

• Mr. Smith's age skews the data to the right.

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 has an outlier that is significantly higher the expected range. How does including this value affect a plot of the distribution?

• The outlier will flatten the distribution so that it looks uniform.

• The outlier will have no effect on the distribution at all.

• The outlier will negatively skew the distribution.

• The outlier will positively skew the distribution.

How would the shape be affected if a value of 180 was added to the data set?

• skewed left

• skewed right

• normal

What is the effect of a high outlier on the range of a data set?

• It decreases the range.

• It increases the range.

• It has no effect on the range.

• It halves the range.

The data set below has an outlier of 50. 3, 7, 10, 14, 20, 5, 8, 13, 17, 19, 10, 10, 50 What effect does removing the outlier have on the measures of center?

• The median will increase

• The mean will decrease

• The mean will increase

• The median will decrease

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 measures of center?

• The median will decrease

• The mean will decrease

• The mean will increase

• The median will increase