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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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.
3

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.
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?

Question illustration
A
3
B
4
C
7
D
8
5

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

A
85
B
90
C
83
D
86
E
92
6

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
7

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.
8

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.
9

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

Question illustration
A
66
B
68
C
69
D
70
10

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.

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Measures of Center Answers — CR27 ALG…