April 16 Effects of Change on Central Tendency Review

Effects of Change on Central Tendency

SOL 6.11b

Multiple Choice

Match the definition with the correct Measure of Central Tendency:

the middle number of the data after ordering from least to greatest

• Mean

• Median

• Mode

• Range

Lets consider the following data set

{12, 18, 24, 30}

• The mean is 21

• The median is 21

• If we add a number smaller than the mean and median, the mean and median will decrease

• If we add a number larger than the mean or median, the mean or median will increase

• The mode may or may not change

Multiple Choice

My data set is {1, 2, 3}. Predict how will the median change if I add a 6 to the data set.

• Increase

• Decrease

• Stay the same

Multiple Choice

The data set {12, 18, 24, 30}

The mean=21 The median=21

How will the median be affected by adding 50 to the data set ?

• median will increase

• median will decrease

• median will stay the same

Multiple Choice

The data set {12, 18, 24, 30}

The mean=21 The median=21

How will the mean be affected by adding 16 to the data set ?

• mean will increase

• mean will decrease

• mean will stay the same

Multiple Choice

Jason scored the following on his test: 87, 75, 67, 85, 91, 80, and 95. His teacher allowed him to retake a test to replace his lowest test score. If he scores an 80, how will this effect the median?

• the median will not change

• the median will increase

• the median will decrease

Multiple Choice

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:

9, 8, 12, 6, and 10

If she reads 15 pages on Saturday, how will that effect the mean?

• the mean will remain the same

• the mean will increase

• the mean will decrease

Multiple Choice

The scores in a basketball match are as follows:

7, 13, 18, 24, 9, 3, 18

If the team scored 18 points on their next game, how will this effect the mode of the scores?

• no change to the mode

• the mode will increase by 1

• the mode will decrease by 2

• the mode will increase by 5

Multiple Choice

The points scored in each game by Darby Middle School's football team are 21, 35, 14, 17, 28, 14, 7, 21, and 14. If they score 9 points on there next game, how will it effect the mean?

• mean will remain the same

• the mean will increase by 1

• the mean will decrease by 1

• the mean will increase by 9

Multiple Choice

Match the definition with the correct Measure of Central Tendency:

the number or numbers that appear most often

• Mean

• Median

• Mode

• Range