Standard Deviation Answers

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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.
4

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
6

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.
8

Sixteen students each measured the weight of 25 pennies, in grams. The list shows their measurements.60, 62, 65, 59, 63, 63, 63, 62, 64, 62, 60, 61, 66, 64, 61, 65In each graph below, the mean is indicated by a solid vertical line segment while the standard deviations from the mean are indicated by dotted vertical line segments. Which graph represents the distribution of weights?

A
A graph shows the horizontal axis numbered 58 to x. The vertical axis is unnumbered. The graph shows an upward trend from 60 to 62.5 then a downward trend from 62.5 to 65.
Option A
B
A graph shows the horizontal axis numbered 52 to x. The vertical axis is unnumbered. The graph shows an upward trend from 60 to 62.5 then a downward trend from 62.5 to 70.
Option B
C
A graph shows the horizontal axis numbered 57 to x. The vertical axis is unnumbered. The graph shows an upward trend from 57 to 62.5 then a downward trend from 62.5 to 68.
Option C
D
A graph shows the horizontal axis numbered 58 to x. The vertical axis is unnumbered. The graph shows an upward trend from 61 to 62.5 then a downward trend from 62.5 to 64.
Option D
9

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.

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