AnswersEAP-Algebra Functions and Data Analysis B CRStandard Deviation

Standard Deviation Answers

19 verified answers
1
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The data set on the right represents .

A
a sample of the population
B
the population
2
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Which formula should be used to calculate the variance?

Answer:

sigma^2 = sum(x - mu)^2 / n

3

What is the variance?

Answer:

32

4

What is the variance? What is the standard deviation?

Answers:
Selection 1:864
Selection 2:29.4
5

What is the standard deviation?

A
29.4
B
32.9
C
127.4
D
432
10

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11

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14

A set of data has a high-value outlier. How do you expect the standard deviation to change when the outlier is removed? Would the result be different if the data had a low-value outlier instead? Explain.

Answer:

The standard deviation will decrease when the outlier is removed. Standard deviation represents the spread of data from the mean. Both highvalue and lowvalue outliers increase the spread of a data set. Therefore, removing either a highvalue or a lowvalue outlier decreases the spread from the mean, which results in a lower standard deviation.

15

Check each of the components below that you included in your response.

A
The standard deviation will decrease when the outlier is removed.
B
Standard deviation represents the spread of data from the mean.
C
Removing a high-value outlier decreases the spread of data from the mean.
D
Removing a low-value outlier decreases the spread of data from the mean.
E
In both cases the standard deviation decreases.
18

Which of the following represents the numerator in the calculation of variance and standard deviation?

A
(225)2 + (–425)2 + (–275)2 + (325)2 + (75)2 + (–75)2 = 423,750
B
(650)2 + (–150)2 + (–600)2 + (250)2 + (150)2 + (–300)2 = 980,000
C
(250)2 + (–400)2 + (–250)2 + (350)2 + (100)2 + (–50)2 = 420,000
19

What is the variance?

Answer:

84000

20

What is the standard deviation, rounded to the nearest whole number?

Answer:

290

27

The z-score is the number of a data value is away from the .

Answers:
Part 1:standard deviations
Part 2:mean
28

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29

Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = ⇒ 0.05 z6.5 = ⇒ 0.8

Answers:
Part 1:-1.95
⇒ 0.05:(5 - 4.9) / 2
⇒ 0.8:(6.5 - 4.9) / 2
30

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31

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57

Given that z = –2 and z = –1, which of the following do you know?

Question illustration
A
The variance is 10.
B
The standard deviation is 30.
C
The mean is 80.
D
The median is 40.
E
The data point x = 20 is 2 standard deviations from the mean.
F
The data point x = 50 is 1 standard deviation from the mean.
G
The data point x = 45 has a z-value of 1.5.
58

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