Measures of Center Answers

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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%
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.

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

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
4

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
5

Which could be Brooke’s sixth quiz score? Select three options.

A
85
B
90
C
83
D
86
E
92
6

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

Question illustration
A
The outlier of 2 increases the median page count.
B
The outlier of 2 increases the mean page count.
C
The outlier of 2 decreases the median page count.
D
The outlier of 2 decreases the mean page count.
7

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.
8

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

Question illustration
A
66
B
68
C
69
D
70
9

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.
10

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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