AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Measures of Center Answers

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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?

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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.
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

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.

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.
4

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.
5

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%
6

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
7

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.
8

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

Question illustration
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
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

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

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