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

Lesson 10.5: Standard Deviation Answers

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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
2
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Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

Question illustration
A
4.5
B
6
C
14
D
15.5
3

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.
4

The graph shows a distribution of data.

Question illustration
A
0.5
B
1.5
C
2.0
D
2.5
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

The graph shows a distribution of data.

Question illustration
A
0.0625
B
0.25
C
0.5
D
1.5
7

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
8

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.
9

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
10

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

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