Measures of Center in Mexico

A set of data has four values but only three of the values are plotted on the number line below.

Where should the fourth point be plotted if you want the balance point to be at point H?

• J

• I

• H

• E

Jerry decides he wants to collect data on the number of boats that pass under the Chesapeake Bay Bridge each hour from 1 p.m. to 6 p.m. He records the following data: 17, 25, 34, 32, and 12.  If Jerry removes 12 from his data set, which of the following would be true?

• The mean would increase to 27.

• The median would decrease to 28.5.

• The median would increase to 29.5.

• The mean would remain the same.

Look at the line plot. 

Select the true statement.

• The balance point is 5.

• The balance point is 6.

• The balance point is 7.

• The balance point is 4.

Which number line represents a set of data whose mean is 3?

• A

• B

• C

• D

Look at the data shown in the line plot.            

At which letter does the balance point lie for the data set shown?

• D

• E

• G

• H

• I

Which two pieces of data could be added to the line plot below and not change the balance point?

• 29

• 24

• 26

• 27

• 21

Golf scores were recorded each week for a month.  Scores for three games are shown, and the mean and median were calculated.

68, 72, 75

A score of 70 was received in the next game.  How were the mean and median affected?

• The mean and the median both increased.

• The mean and the median both decreased.

• The median decreased, and the mean remained the same.

• The mean decreased, and the median remained the same.

Alice worked part-time babysitting after school.  The amount of money Alice earned for five weeks is shown. 

      $35, $28, $32, $46, $42

Alice then earned $46 for working a sixth week.  How was the mean and median affected?

• The mean increased and the median remained the same.

• The mean and the median both increased.

• The mean and the median both remained the same.

• The median increased and the mean remained the same.

The number of raffle tickets each student sold is recorded on the line plot.  In order for the mean to be a balance point at 13, which data points could be added to the line plot.

• Two students could each sell 10 tickets.

• One student could sell 12 tickets and another student sell 9 tickets.

• One student could sell 10 tickets and another student sell 11 tickets.

• One student could sell 12 tickets and another student sell 8 tickets.

• One student could sell 9 tickets and another student sell 11 tickets.

Julio did a survey on how many times his classmates had gone to the zoo. Based on the dot plot below, what is the mean of the data set?