Best Measure of Center Given an Outlier

What measure of center is best to use when we have outliers?

• mean

• median

• mode

• range

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 __________ is the number or numbers that occur most frequently in a data set.

• average

• mode

• quartiles

• mean

If a data set has an outlier than the best measure of center is:

• Mean

• Median

• Mode

• Range

If a data set has an outlier than the best measure of center is:

• Mean

• Median

• Mode

• Range

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

Which statement is true?

• The mode is misleading because it is in the center of the data points.

• The mean is misleading because the outlier skews the mean down.

• The median is misleading because it is in the center of the data.

• The range is misleading because it is too large.

• Mode

• Median

• Mean

• IQR

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

Which statement is true?

• The mode is misleading because it is in the center of the data points.

• The mean is misleading because the outlier skews the mean down.

• The median is misleading because it is in the center of the data.

• The range is misleading because it is too large.