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Line of Best Fit Answers

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Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas stations around their cities on the same day. Raquel’s data show and . Van’s data show and .Which statement is true about their gas-price data?

Question illustration
A
Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
B
Van’s data are most likely closer to $3.42 than Raquel’s data are to $3.78.
C
Raquel’s data are most likely closer to $3.78 than Van’s data are to $3.42.
D
Van’s data are most likely closer to $3.78 than Raquel’s data are to $3.42.
2
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The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.

Question illustration
A
Most of the songs were between 3 minutes and 3.8 minutes long.
B
Most of the songs were 3.4 minutes long.
C
Most of the songs were less than 3.2 minutes long.
D
Most of the songs were more than 3.6 minutes long.
3

The graph shows a distribution of data.

Question illustration
A
0.5
B
1.5
C
2.0
D
2.5
4

The graph shows a distribution of data.

Question illustration
A
0.0625
B
0.25
C
0.5
D
1.5
5

Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?

A
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
Option A
B
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
Option B
C
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
Option C
D
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
Option D
6

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

A
65
B
75
C
100
D
130
7

The histogram shows the weekly rates charged by different daycares for a 2-year-old child.

Question illustration
A
left-skewed
B
right-skewed
C
nearly symmetrical
D
primarily asymmetrical
8

Which histogram represents a set of data that is left-skewed?

A
A graph shows the horizontal axis numbered 56 to 126. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 56 to 77 then a downward trend from 77 to 119.
Option A
B
A graph shows the horizontal axis numbered 60 to 114. The vertical axis is numbered 1 to 4. The graph shows a downward trend from 60 to 72, an upward trend from 72 to 84, then a downward trend from 84 to 108.
Option B
C
A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701.
Option C
D
A graph shows the horizontal axis numbered 252 to 1,260. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 630, a downward trend from 630 to 756, an upward trend from 756 to 882, then a downward trend from 882 to 1,341.
Option D
9

Which statements are true about a histogram with one-minute increments representing the data? Select three options.

A
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
B
The histogram will have a shape that is left-skewed.
C
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
D
The shape of the histogram can be approximated with a normal curve.
E
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
10

A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.

A
The median time is less than 25 minutes.
B
The median time is exactly equal to 25 minutes.
C
The median time is approximately equal to 25 minutes.
D
The median time is greater than 25 minutes.

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