Question

The data to the right contain the per-capita energy consumption, in kilowatt-hours, for each of the provinces of a nation. 

Complete parts (a) through (c) below. 

a. Compute the mean, variance, and standard deviation for the population. 

b. what percentage of these provinces has average per-capita energy consumption within ± 1 standard deviation of the mean, within ±2 standard deviations of the mean, and within ±3 standard deviations of the 0%. 

c. Compare and contrast your findings in part (b) versus what would be expected based on the empirical rule. Choose the correct answer below.

A. The values are very different from those predicted by the empirical rule. Therefore, the data must be heavily skewed.

B. Not all of the values are close to those predicted by the empirical rule. Therefore, the data are right-skewed.

C. The values are close to those predicted by the empirical rule.

D. Not all of the values are close to those predicted by the empirical rule. Therefore, the data are left-skewed.

Answer 1

(a) Mean = 14778, Variance = 19226273, Standard Deviation = 4384.78

(b)

Number of data between μ + σ and μ - σ = 14

Percentage = (14/20) * 100 = 70

Number of data between μ + 2σ and μ - 2σ = 19

Percentage = (19/20) * 100 = 95

Number of data between μ + 3σ and μ - 3σ = 20

Percentage = (20/20) * 100 = 100

(c)

Option C.