AnswersConcepts in Probability and Statistics - MA3120 B-CRTwo-Way Tables

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 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

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
6

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.
7

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
8

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
9

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.
10

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

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