Suppose that the average amount of sugar a person eats per year is 5 kg with a standard deviation of 1.7 kg.How many standard deviations from the mean is the consumption of 14 kg of sugar?
A)About 3.00 standard deviations above the mean
B)About 3.00 standard deviations below the mean
C)About 2.94 standard deviations above the mean
D)About 5.29 standard deviations above the mean
E)About 5.29 standard deviations below the mean

Question

Quizplus · Accepted Answer

We can use the formula:

z = (x - μ) / σ

where z is the number of standard deviations from the mean (μ) that corresponds to a value x, given a standard deviation of σ.

Substituting the values given in the problem, we have:

z = (14 kg - 5 kg) / 1.7 kg
z ≈ 5.29

This means that a consumption of 14 kg of sugar is about 5.29 standard deviations above the mean.

Therefore, the best choice is D.

Suppose That the Average Amount of Sugar a Person Eats