Outliers Mean and Median

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

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.

Gabriella’s quiz grades are shown below.
88, 92, 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.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.

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 shows the distances that schools will travel to attend a field trip to the state capitol. School 7 has to travel 15 miles. If this outlier is added to the data, which is a true statement about how it changes the data in the table? Select all statements that apply.

• The data is more spread.

• The median stays the same, and the mean changes.

• There is no change in the median and mean.

• Both the median and the mean change.

• The data is less spread.

If the weight of the polar bear is removed, which statement is true?

• The mean decreases more than the median because the polar bear is a high

  outlier.

• The mean decreases less than the median because the polar bear is a high

  outlier.

• The mean decreases more than the median because the high value balances

  the low value.

• The mean decreases less than the median because the high value balances

  the low value.

What did the outlier do to the mean and median in the data set 1, 1, 1, 2, 2, 3, 4, 5, 5, and 25?

• Nothing

• They were both greater with the outlier.

• They were both less with the outlier.

Consider the dataset: 1, 1, 2, 2, 3, 3, 4, 4, 100. Which of the following statements is true?

• The mean is less than the median.

• The mean is greater than the median.

• The mean is equal to the median.

• The dataset has no outliers.

The prices at several different stores for a pair of shoes are

$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?

• Nothing will be affected.

• The median will increase.

• The mean and the median will increase.

• The mean will decrease.

Shelby’s test scores are 88, 92, 88, 55, 94, 90, and 89. If the outlier were omitted, what would be the effect on Shelby’s mean score?

• The mean would not change.

• The mean would become smaller than the median.

• The mean would increase by 2.

• The mean would increase by 5.