AnswersHigh School Math 2 AMeasures of Center

Measures of Center Answers

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1
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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.
2
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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
3

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.

Question illustration
A
The median will decrease.
B
The mean will decrease.
C
The median will increase.
D
The mean will increase.
4

Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

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A
3
B
4
C
7
D
8
5

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

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6
66
6
68
6
69
7
70
6

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?

7
79%
8
82%
8
87%
9
92%
7

The graph shows the number of pages in each chapter of a book that Josh is reading.

Question illustration
T
The outlier of 2 increases the median page count.
T
The outlier of 2 increases the mean page count.
T
The outlier of 2 decreases the median page count.
T
The outlier of 2 decreases the mean page count.
8

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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
T
The mean number of red cubes is less than the median number of red cubes.
T
The mean number of red cubes is more than the median number of red cubes.
T
The mean number of red cubes is equal to the median number of red cubes.
T
The mean number of red cubes cannot be compared to the median number of red cubes.
10

Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

Question illustration
3
3
4
4
7
7
8
8
11

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.
T
The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.
T
The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.
A
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.
12

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?

1
16
1
19
2
20
2
23
13

three

8
85
9
90
8
83
8
86
9
92
14

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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