Question

(01.01 MC)

The mean number of hours spent per day on the computer, according to a national

survey, is six hours, with a standard deviation of 2.5 hours. If each time was increased

by 1.5 hours, what would be the new mean and standard deviation? (2 points)

O 6,2.5

0 7.5,4

O 6,4

0 7.5, 2.5

Answer 1

(7.5, 2.5)

Explanation:

Given the following information ;

Mean hours (x) = 6

Standard deviation = 2.5 hours

If each time is increased by 1.5 hours, then the newly calculated mean will also increase by the same amount of time, that is 1.5 hours. This is because, since each individual item used in calculating the initial mean increased by the same amount, the average increase will be that same value (1.5 hours). Hence, the mean will increase by the same amount.

New mean = 6 hours + 1.5 hours = 7.5 hours

For the standard deviation ; which measures the variation of values from the mean, in this scenario, the standard deviation remains the same because the each value and the mean changed by equal amount, hence the bet change remains the same and so does the standard deviation.