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Review of Chebychev's Theorem

Total questions: 12

Worksheet time: 11mins

Name
Class
Date
1.

The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years. Between which two age limits must at least 75% of the data lie?

a)

24 - 36 years

b)

18 - 42 years

c)

12 - 48 years

d)

6 - 54 years

2.

The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years. Between which two age limits must at least 75% of the data lie? WHAT IS THE K VALUE ONLY?

a)

2

b)

3

c)

4

d)

5

e)

6

3.

The average of the number of trials it took a sample of mice to learn to traverse a maze was 12. the standard deviation was 2. Using Chebyshev's theorem, find the minimum percentage of of data values that will fall in the range of 4 to 20 trials.

a)

75%

b)

88.89%

c)

93.75%

d)

96%

e)

97.22%

4.

The average of the number of trials it took a sample of mice to learn to traverse a maze was 12. the standard deviation was 2. Using Chebyshev's theorem, find the minimum percentage of of data values that will fall in the range of 4 to 20 trials. WHAT IS THE K VALUE ONLY???

a)

2

b)

3

c)

4

d)

5

e)

6

5.

A sample of the labor cost per hour to assemble a certain produce has a mean of $2.60 and a standard deviation of $0.15. Using Chebyshev's theorem, find the range in which at least 88.89% of the data will lie.

a)

$2.45 - $2.75

b)

$2.15 - $3.05

c)

-$10.73 - $15.93

6.

The mean of a distribution is 20 with a standard deviation of 2. Use Chebyshev's theorem.

At least what percent of the values will fall between 10 and 30? What is the K VALUE ONLY?

a)

2

b)

3

c)

4

d)

5

e)

6

7.

The mean of a distribution is 20 with a standard deviation of 2. Use Chebyshev's theorem.

At least what percent of the values will fall between 10 and 30?

a)

75%

b)

88.89%

c)

93.75%

d)

96%

e)

97.22%

8.

The mean of a distribution is 20 with a standard deviation of 2. Use Chebyshev's theorem.

At least what percent of the values will fall between 12 and 28? What is the K VALUE ONLY?

a)

2

b)

3

c)

4

d)

5

e)

6

9.

The mean of a distribution is 20 with a standard deviation of 2. Use Chebyshev's theorem.

At least what percent of the values will fall between 10 and 30?

a)

75%

b)

88.89%

c)

93.75%

d)

96%

e)

97.22%

10.

Using Chebyshev's theorem. With a mean of 80 and a standard deviation of 5 at least what percentage of values will fall between 65 and 95? WHAT IS THE K VALUE ONLY?

a)

2

b)

3

c)

4

d)

5

e)

6

11.

Using Chebyshev's theorem. With a mean of 80 and a standard deviation of 5 at least what percentage of values will fall between 65 and 95?

a)

75%

b)

88.89%

c)

93.75%

d)

96%

e)

97.22%

12.

The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years. Between which two age limits must at least 75% of the data lie?

a)

24 - 36

b)

18 - 42

c)

26 - 38

d)

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