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4. Which of the following is NOT a limitation to apply the Chebyshev’s theorem?

ID: 2934955 • Letter: 4

Question

4. Which of the following is NOT a limitation to apply the Chebyshev’s theorem?

A. We have to know the probability distribution for the population.

The range for probability estimation should be symmetric to the sample mean.

C. The Z-scores must be greater than 1.

D. The estimation only provides the minimum probability for observations falling within a range .

5.

The mean and the standard deviation for the following data:
                               10, 10, 10, 10, 10, 10, 10 are

10 and 100.

100 and 10.

1 and 0.

10 and 0.

A. Standard Error

Sample Standard deviation

25th percentile

50th percentile

A. We have to know the probability distribution for the population.

B.

The range for probability estimation should be symmetric to the sample mean.

C. The Z-scores must be greater than 1.

D. The estimation only provides the minimum probability for observations falling within a range .

5.

The mean and the standard deviation for the following data:
                               10, 10, 10, 10, 10, 10, 10 are

A.

10 and 100.

B.

100 and 10.

C.

1 and 0.

D.

10 and 0.

6. Given a quantitative data set, which of the following cannot be obtained directly from the output of “Summary Statistics” in MS Excel Descriptive Statistics?

A. Standard Error

B.

Sample Standard deviation

C.

25th percentile

D.

50th percentile

Explanation / Answer

4. For Chebychev's theorem, we don't have to know the probability distribution since we can apply this to any distribution. Hence,

Option A is correct.

5. Option D is correct.

6. Option A is correct.

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