Question

deviation?

a on average, the number of students going to an office hour varies from the mean by about 2.2 students.

b for a randomly selected office hour, the number of students who will go is 2.2

c for a randomly selected office hour, the number of students expected to go will vary from the mean by 2.2 students.

d for a random selection of office hours, the average number of students expected to go is 2.2.

e for a random selection of office hours, the average number of students expected to go will vary from the mean by 2.2 students.

Explanation:

The standard deviation measures the average amount that individual data points vary from the mean of a dataset. Option A correctly interprets this: it states that on average, each data point (number of students per office hour) differs from the overall mean by about 2.2 students. The other options misinterpret standard deviation: B confuses it with a single value, C applies it incorrectly to a single random selection, D describes a mean value not standard deviation, and E misapplies the concept to the average of a sample rather than individual points.

Answer:

A. On average, the number of students going to an office hour varies from the mean by about 2.2 students.