AnswersAlgebra IIStandard Deviation

Standard Deviation — Quiz Answers

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25

Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?

A
The spread of the graph of the data will not change.
B
Abby will not use the mean when calculating the standard deviation.
C
The outlier will increase the standard deviation of the data set.
D
Abby will use a different formula for calculating the standard deviation.
26

A set of data has a mean of 12 and a standard deviation of 3 A data point of the set has a z -score of 1 point 3 What does a z -score of 1 point 3 mean?

A
The data point is 3 standard deviations away from 1 point 3 .
B
The data point is 1 point 3 standard deviations away from 3 .
C
The data point is 3 standard deviations away from 12 .
D
The data point is 1 point 3 standard deviations away from 12 .
28

A set of data has a mean of 0 point 5 and a standard deviation of 0 point 0 1 A data point of the set has a z -score of 2 point 5 What does a z -score of 2 point 5 mean?

A
The data point is 0 point 0 1 standard deviations away from 0 point 5 .
B
The data point is 2 point 5 standard deviations away from 0 point 0 1 .
C
The data point is 0 point 0 1 standard deviations away from 2 point 5 .
D
The data point is 2 point 5 standard deviations away from 0 point 5 .
31

The monthly mean salaries and standard deviations of four college students are given. Student Mean Standard Deviation Clarissa 345 dollars 12 point 5 3 Abi 598 dollars 8 point 9 9 Kaila 812 dollars 15 point 2 9 Shenika 208 dollars 7 point 6 7 Which statement must be true?

A
The monthly salary of Kaila is less spread out than the monthly salary of Abi.
B
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
C
The monthly salary of Abi is less spread out than the monthly salary of Shenika.
D
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
32

The monthly mean salaries and standard deviations of four college students are given. Student Mean Standard Deviation Clarissa 345 dollars 12 point 5 3 Abi 598 dollars 8 point 9 9 Kaila 812 dollars 15 point 2 9 Shenika 208 dollars 7 point 6 7 Which statement must be true?

A
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
B
The monthly salary of Abi is less spread out than the monthly salary of Shenika.
C
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
D
The monthly salary of Kaila is less spread out than the monthly salary of Abi.
36

The mean ages with standard deviations of four swim teams at a swim club are given. Team Mean Standard Deviation Stars 16 4 point 1 Dolphins 18 1 point 5 Giants 14 0 point 3 Mackerels 15 2 point 3 Which statement is most likely to be true?

A
The ages of the Giants are the most dispersed from the team’s mean.
B
The ages of the Stars are the most dispersed from the team’s mean.
C
The ages of the Dolphins are the most dispersed from the team’s mean.
D
The ages of the Mackerels are the most dispersed from the team’s mean.

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