Measures of Center Answers

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5

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
6

The dot plot shows the number of text messages Mr. Garcia sent each day so far this month.

Question illustration
A
The graph is skewed left.
B
The graph is skewed right.
C
The graph is nearly symmetrical.
D
the graph is perfectly symmetrical.
7

Colin surveyed 12 teachers at his school to determine how much each person budgets for lunch. He recorded his results in the table.What does the relationship between the mean and median reveal about the shape of the data?

Question illustration
A
The mean is less than the median, so the data is skewed left.
B
The mean is more than the median, so the data is skewed right.
C
The mean is equal to the median, so the data is symmetrical.
D
The mean is equal to the median, so the data is linear.
8

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.
9

Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper bags. Each group records the number of cubes of each color in a bag. The number of red cubes for the 10 groups are recorded in the graph.

Question illustration
A
The mean number of red cubes is less than the median number of red cubes.
B
The mean number of red cubes is more than the median number of red cubes.
C
The mean number of red cubes is equal to the median number of red cubes.
D
The mean number of red cubes cannot be compared to the median number of red cubes.

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