AnswersMathematics IStandard Deviation

Standard Deviation — Quiz Answers

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1
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What is the standard deviation of the data? Round to the nearest whole number.

A
75
B
100
C
65
D
130
2
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Which phrase describes the daycare cost data?

A
right-skewed
B
nearly symmetrical
C
primarily asymmetrical
D
left-skewed
3

Which phrase describes the shape of the temperature data?

A
symmetrical
B
normal
C
left-skewed
D
right-skewed
4

What is the standard deviation of the shoe size data for the math class?

A
1 point 5
B
3 point 8
C
3 point 0
D
2 point 7
5

Each histogram represents a set of data with a median of 29 point 5 Which set of data most likely has a mean that is closest to 29 point 5 ?

A
Image with description 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.
B
Image with description 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.
C
Image with description 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.
D
Image with description 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.
6

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 σ^2 is 36 What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

A
14
B
4 point 5
C
6
D
15 point 5
7

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 line segment x is equal to 3 point 4 2 and sigma is equal to 0 point 0 7 Van’s data show line segment x is equal to 3 point 7 8 and sigma is equal to 0 point 2 3 Which statement is true about their gas-price data?

A
Van’s data are most likely closer to 3 point 4 2 dollars than Raquel’s data are to 3 point 7 8 dollars .
B
Raquel’s data are most likely closer to 3 point 4 2 dollars than Van’s data are to 3 point 7 8 dollars .
C
Van’s data are most likely closer to 3 point 7 8 dollars than Raquel’s data are to 3 point 4 2 dollars .
D
Raquel’s data are most likely closer to 3 point 7 8 dollars than Van’s data are to 3 point 4 2 dollars .
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, 65 In each graph, 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
Image with description 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 point 5 then a downward trend from 62 point 5 to 65.
B
Image with description 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 point 5 then a downward trend from 62 point 5 to 68.
C
Image with description 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 point 5 then a downward trend from 62 point 5 to 64.
D
Image with description 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 point 5 then a downward trend from 62 point 5 to 70.
9

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

A
Image with description 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.
B
Image with description 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.
C
Image with description 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.
D
Image with description 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.
10

Find the standard deviation for the given set of data. Round your answer to the nearest tenth. {3,5,6,7,9,11,22} Enter your answer in the box.

Answer:

5.8

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Standard Deviation — Quiz Answers — Mathematics I