Measures of Center Answers

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3

The data show the number of pieces of mail delivered to a single home address each day for three weeks.4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2Which statement is true about a graph representing the data? Select two options.The number line of a dot plot would start at 1.A dot plot would show 7 points for numbers greater than 2.The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.A histogram would have a maximum of 7 bars.A histogram should not show a bar that includes 0 pieces of mail.

A
The number line of a dot plot would start at 1.
B
A dot plot would show 7 points for numbers greater than 2.
C
The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.
D
A histogram would have a maximum of 7 bars.
E
A histogram should not show a bar that includes 0 pieces of mail.
4

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

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.
9

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
10

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.

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