Measures of Center Answers

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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.
2
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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
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

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

Question illustration
A
66
B
68
C
69
D
70
5

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.
6

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.
7

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.
8

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.
9

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
10

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.

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