Question

Consider sample data with x bar = 16 and s = 4. (For each answer, enter an exact number.)

(a) Compute the coefficient of variation (as a percent). %

(b) Compute a 75% Chebyshev interval around the sample mean.

Lower Limit

Upper Limit

Answer 1

a) Coefficient of variation (C.V) = * 100

= *100

C.V = 25%

b)

According to Chebyshev's rule:
At least 1 - of the data values must be within k standard deviation of the mean where k is any value greater than 1.
For k = 2, at least 75% of the data values must be within 2 standard deviations of the mean.

Lower limit = - 2*s = 16 - (2*4)
Lower limit = 8

Upper limit = + 2*s = 16 + (2*4)

Upper limit = 24