Standard Deviation and Distribution

Standard Deviation and Distribution

11th Grade

10 Qs

quiz-placeholder

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Standard Deviation and Distribution

Standard Deviation and Distribution

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

Created by

Anthony Clark

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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

68%

34%

16%

2.5%

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the standard deviation of the following data set: 20, 13, 45, 83, 47, 25.

6

25.6

38.8

653.8

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The picture shows the formula for standard deviation. What does x̄ represent in the formula.

the number of items in the data set

standard deviation

summation (add all the numbers together)

the average of the data set

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the accompanying diagram, the shaded area represents approximately 95% of the scores on a standardized test. If these scores ranged from 78 to 92, which could be the standard deviation?

3.5

7

14

20

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the accompanying diagram, about 68% of the scores fall within the shaded area, which is symmetric about the mean, x. The distribution is normal and the scores in the shaded area range from 50 to 80. What is the standard deviation of the scores in this distribution?

7.5

15

30

65

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a normal distribution, x + 2σ = 80 and x − 2σ = 40 when x represents the mean and σ represents the standard deviation. The standard deviation is...

10

20

30

60

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The heights of a group of girls are normally distributed with a mean of 66 inches. If 95% of the heights of these girls are between 63 and 69 inches, what is the standard deviation for this group?

1

1.5

3

6

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