Standard Deviation Answers

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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
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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?

Question illustration
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.
3

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.
4

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
5

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
6

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.
7

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
8

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
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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