Question 58 Answer and Explanation _ACT April 2021 Form D05 Math Section

58. Let m and s be the mean and standard deviation respectively, of the ages of children in a certain daycare center. Which of the following gives the mean and standard deviation of the ages of the same children 5 years later?

F. Mean: m Standard deviation: s

G. Mean: m Standard deviation: s + 5

H. Mean: m + 5 Standard deviation: s

J. Mean: m + 5 Standard deviation: s + 5

K. Mean: m + 5 Standard deviation: 5s

Answer and Explanation

Your Answer is

Correct Answer is H

Explanation

After five years, the age of all people will increase by 5 years, the average will also increase by 5, and the standard deviation will remain the same, so choose H