AnswersFall 24 GMS Advanced Algebra Concepts and Connections AStandard Deviation

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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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
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

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
5

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
6

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 1.3. What does a z-score of 1.3 mean?

A
The data point is 1.3 standard deviations away from 3
B
The data point is 1.3 standard deviations away from 12.
C
The data point is 3 standard deviations away from 1.3.
D
The data point is 3 standard deviations away from 12.
7

The monthly mean salaries and standard deviations of four college students are given below.StudentMeanStandard DeviationClarissa$34512.53Abi$5988.99Kaila$81215.29Shenika$2087.67Which statement must be true?

A
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
B
The monthly salary of Kaila 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 Clarissa is less spread out than the monthly salary of Abi.
8

The mean ages with standard deviations of four swim teams at a swim club are given below.TeamMeanStandard DeviationStars164.1Dolphins181.5Giants140.3Mackerels152.3Which statement is most likely to be true?

A
The ages of the Mackerels 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 Giants are the most dispersed from the team’s mean.
9

The number of cars sold at a dealership over several weeks is given below.14, 23, 31, 29, 33What is the standard deviation for this set of population data?Standard deviation:

Question illustration
A
6.9
B
12.4
C
15.4
D
47.2
10

The test scores of a geometry class are given below.90, 75, 72, 88, 85The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance?Variance:

Question illustration
A
-160
B
-6
C
16
D
258

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