AnswersAlgebra 2 MP 234 CHSRepresenting Data

Standard Deviation Answers

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1
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Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.What is the first error he made in computing the standard deviation?

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A
Yuri failed to find the difference between each data point and the mean.
B
Yuri divided by n instead of n -1.
C
Yuri did not subtract 9 - 14 correctly.
D
Yuri failed to square -2 correctly.
2
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A poll worker analyzing the ages of voters found that and . What is a possible voter age that would give her zx = 1.14? Round your answer to the nearest whole number.

Question illustration
A
59
B
66
C
71
D
90
3

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data?

A
median
B
mode
C
mean
D
standard deviation
4

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
Abby will use a different formula for calculating the standard deviation.
B
The outlier will increase the standard deviation of the data set.
C
The spread of the graph of the data will not change.
D
Abby will not use the mean when calculating the standard deviation.
5

Fiona recorded the number of miles she biked each day last week as shown below.4, 7, 4, 10, 5The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week?

A
s squared = StartFraction (4 minus 6) squared + (7 minus 6) squared + (4 minus 6) squared + (10 minus 6) squared + (5 minus 6) squared Over 6 EndFraction
Option A
B
Sigma = StartRoot StartFraction (4 minus 6) squared + (7 minus 6) squared + (4 minus 6) squared + (10 minus 6) squared + (5 minus 6) squared Over 5 EndFraction EndRoot
Option B
C
s = StartRoot StartFraction (4 minus 6) squared + (7 minus 6) squared + (4 minus 6) squared + (10 minus 6) squared + (5 minus 6) squared Over 4 EndFraction EndRoot
Option C
D
Sigma squared = StartFraction (4 minus 6) squared + (7 minus 6) squared + (4 minus 6) squared + (10 minus 6) squared + (5 minus 6) squared Over 5 EndFraction
Option D
6

The mean of a set of credit scores is and . Which credit score is within a z-score of 3.3?

Question illustration
A
634
B
640
C
720
D
750
7

Which formula is used to calculate the standard deviation of sample data?

A
s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
Option A
B
sigma squared = StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction
Option B
C
Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
Option C
D
x = StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction
Option D
8

A missing data value from a set of data has a z-score of –2.1. Fred already calculated the mean and standard deviation to be and . What was the missing data value? Round the answer to the nearest whole number.

Question illustration
A
39
B
41
C
45
D
47
9

Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes. Which statistic should she use?

A
mean
B
standard deviation
C
median
D
mode
10

A set of data has a mean of 0.5 and a standard deviation of 0.01. A data point of the set has a z-score of 2.5. What does a z-score of 2.5 mean?

A
The data point is 0.01 standard deviations away from 2.5.
B
The data point is 0.01 standard deviations away from 0.5
C
The data point is 2.5 standard deviations away from 0.01.
D
The data point is 2.5 standard deviations away from 0.5.

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Standard Deviation Answers — Algebra 2 MP 234 CHS