Lesson 10.5: Standard Deviation Answers

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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.
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
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

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