For any set of data, what can be said about the percentage of the measurements c

ID: 3351845 • Letter: F

Question

For any set of data, what can be said about the percentage of the measurements contained in each of the following intervals?

a. x overbarxminuss to x overbarxplus+s

b. x overbarxminus2s to x overbarxplus+2s

c. x overbarxminus3s to x overbarxplus+3s

a. Choose the correct answer below.

A. At least one half12 of the measurements will fall within 1 standard deviation of the mean.

B. At least three fourths34 of the measurements will fall within 1 standard deviation of the mean.

C. At least eight ninths89 of the measurements will fall within 1 standard deviation of the mean.

D. No useful information is provided.

b. Choose the correct answer below.

A. At least one half12 of the measurements will fall within 2 standard deviations of the mean.

B. At least three fourths34 of the measurements will fall within 2 standard deviations of the mean.

C. At least eight ninths89 of the measurements will fall within 2 standard deviations of the mean.

D. No useful information is provided.

c. Choose the correct answer below.

A. At least one half12 of the measurements will fall within 3 standard deviations of the mean.

B. At least eight ninths89 of the measurements will fall within 3 standard deviations of the mean.

C. At least three fourths34 of the measurements will fall within 3 standard deviations of the mean.

D. No useful information is provided.

a) (X-s, X+s) at least 0% using Cheybychev's rule.

Option :D

b) (X-2s, X+2s) at least 75% using Cheybychev's rule.

Option: B, 3/4 th =0.75 *100= 75%

c) (X-3s, X+3s) at least 89% using Cheybychev's rule.

Option: C, 8/9*100 = 88.8889(89%)

Interval Max Min Empirical Rule% Chebychev's rule% X-s X+s App 68.5 At least 0 X-2s X+2s App 95.4 At least 75 X-3s X+3s App 99.7 At least 89

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