Question 45 Answer and Explanation _ACT April 2019 Form Z15 Math Section

45. The graph below shows the distribution of a data set consisting of 16 positive integers. Which of the following statements about the mean, median, and mode of the data set is true?

A. The mode is less than the median, and the median is less than the mean.

B. The mode is less than the mean, and the mean is equal to the median.

C. The mode is equal to the mean, and the mean is less than the median.

D. The mean is less than the median, and the median is less than the mode.

E. The mean is equal to the median, and the median is equal to the mode.

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

mean is the mean, median is the median, and mode is the mode that occurs most frequently. The average of these 16 numbers is 3.875, and the median is (3+4)÷2=3.5. The mode is 3. So we know that the mode is less than the median and the median is less than the mean.