AnswersAlgebra D E-Learning Fall 2023 and beyondRelative Frequencies and Association

Standard Deviation Answers

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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
2
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The graph shows a distribution of data.

Question illustration
A
0.5
B
1.5
C
2.0
D
2.5
3

The graph shows a distribution of data.

Question illustration
A
0.0625
B
0.25
C
0.5
D
1.5
4

Which weights are within 2 standard deviations of the mean? Select three options.

A
8.4 lbs
B
8.9 lbs
C
9.5 lbs
D
10.4 lbs
E
10.9 lbs
5

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.
6

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
7

The histogram shows a city’s daily high temperatures recorded for four weeks.

Question illustration
A
symmetrical
B
left-skewed
C
right-skewed
D
normal
8

The mean shoe size of the students in a math class is 7.5. Most of the shoe sizes fall within 1 standard deviation, or between a size 6 and a size 9.

A
1.5
B
2.7
C
3.0
D
3.8
9

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.
10

The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.

Question illustration
A
The histogram is right-skewed, so the mean is less than the median.
B
The histogram is right-skewed, so the mean is greater than the median.
C
The histogram is left-skewed, so the mean is less than the median.
D
The histogram is left-skewed, so the mean is greater than the median.

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