The average amount of sugar a person eats per year is 4 kg.A person who consumes 3.25 kg of sugar has a z-score of -0.75.Find the standard deviation.
A)4 kg
B)1 kg
C)0.1 kg
D)5 kg
E)10 kg

Question

Quizplus · Accepted Answer

Using the formula for z-score:
z = (x - μ) / σ

where:
x = 3.25 kg (amount consumed by the person)
μ = 4 kg (average amount consumed by a person)
z = -0.75

Rearranging the formula, we get:
σ = (x - μ) / z
σ = (3.25 - 4) / (-0.75)
σ = 0.75

Therefore, the standard deviation is 0.75 kg which is closest to answer choice B (1 kg).

The Average Amount of Sugar a Person Eats Per Year