AnswersAlgebra D E-Learning Fall 2023 and beyondRelative Frequencies and Association

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The table shows the heights, in inches, of players on a girls’ basketball team.

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A
66
B
68
C
69
D
70
2
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Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.

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A
The median will decrease.
B
The mean will decrease.
C
The median will increase.
D
The mean will increase.
3

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?

A
79%
B
82%
C
87%
D
92%
4

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

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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
5

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.
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

Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?

A
16
B
19
C
20
D
23
8

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 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.
10

Quinn mailed four postcards that each cost $0.25, five letters that each cost $0.44, two large envelopes that each cost $0.80, and one small package for $5.10. Which cost on the list of mailing fees on Quinn’s receipt would skew the mean?

A
the cost of a postcard
B
the cost of a letter
C
the cost of a large envelope
D
the cost of the small package

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