Measures of Center Answers

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The graph shows the ages of different concertgoers who have backstage passes.

Question illustration
A
A late arrival who is 21 years old with a back-stage pass will make the mean greater than the median.
B
The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.
C
The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.
D
A concert-goer who is 18 years old and wins a back-stage pass will pull the mean more than 2 years less than the median.
7

The dot plot represents an order of varying shirt sizes.Which histogram represents the same data?

Question illustration
A
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
Option A
B
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 11 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
Option B
C
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 8 shirts are size 14 to 16. 6 shirts are size 18 to 20. 2 shirts are size 22 to 24.
Option C
D
A number line going from 1 to 13. 0 dots are above 1. 2 dots are above 2. 1 dot is above 3. 0 dots are above 4. 0 dots are above 5. 0 dots are above 6. 2 dots are above 7. 3 dots are above 8. 0 dots are above 9. 0 dots are above 10. 4 dots are above 11. 3. dots are above 12. 0 dots are above 13.
Option D
8

The graph shows the number of minutes, to the nearest five minutes, that Sarah spent getting ready for school each morning.

Question illustration
A
The mean will decrease, and the median will stay the same.
B
The median will decrease, and the mean will stay the same.
C
The mean will decrease more than the median, but both will decrease.
D
The median will decrease more than the mean, but both will decrease.
9

A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 31 players.

Question illustration
A
The mean is the best choice because the data is nearly symmetrical.
B
The median is the best choice because data is clustered.
C
The mean is the best choice because the data is skewed to the right.
D
The median is the best choice because the data is skewed to the left.

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