Let the random variable X represent the number of people living in a household in a certain town. The standard deviation of X

Question

is 1.8. Which of the following statements is the best interpretation of the standard deviation?

A.The number of people living in a randomly selected household is expected to be 1.8 people.

B.The number of people living in a randomly selected household will be 1.8 people away from the mean.

C.On average, the number of people living in a household varies from the mean by about 1.8 people.

D.For a random sample of households, the average number of people per household is expected to be 1.8 people.

E. For a random sample of households, the average number of people per household will be 1.8 people away from the mean.

C?

Answer 1

D i think

Answer 2

Standard deviation is the expected margin from the mean (regardless if positive or negative), so that means the number of people living in a household would typically vary by 1.8 people.

Answer 3

So what’s the answer?