Outliers Standard Deviation

Which number is an outlier?

• Only 50

• Only 79

• Both 50 and 79

• No outliers

Which statement best describes the outliers?

• Only 39 is an outlier.

• Both 26 and 39 are outliers.

• Both 39 and 3 are outliers

• Only 3 is an outlier

• There are no outliers.

• It increases

• It stays the same

• It decreases

Which statement best describes the outliers?

• 13 is the only outlier

• 62 is the only outlier

• Both 13 and 62 are outliers

• There are no outliers.

The following dotplot shows the centuries during which the 11 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. How many outliers are there in the data set?

• 0

• 1

• 2

• 3

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

When a measure of central tendency DOES NOT change (or changes very little) while there is an outlier present, we call it....

• a midi-chlorians

• the standard deviation

• resistant

• fragile

Nutritionists measured the sugar content (in grams) for 32 drinks at Jake's Java Spot. The drinks had a mean of 18 grams and a standard deviation of 5 grams, and the standard deviation was roughly symmetric. A Grande Mocha Cappuccino contains 14 grams of sugar. What is the z-score for this drink?

• - 1/2

• -1

• - 4/5

• 2

What is the best interpretation of the z-score from the previous problem?

• This drink has 4/5 (or 0.8) grams of sugar less than the mean of the 32 drinks.

• This drink is 4/5 (or 0.8) standard deviations below the mean of the 32 drinks.

• About 80% of drinks have a lower sugar content than this drink.

• About 80% of drinks have a higher sugar content than this drink.