Question

Suppose both the mean and median of a distribution are 12. Which of these statements is true about the mode of the distribution?. . A.The mode is less than 12.. B.There is not enough information to compare the mode.. C.The mode is equal to 12.. D.The mode is greater than 12.

Answer 1

C.The mode is equal to 12

Explanation:

We are given that

Mean of a distribution= 12

Median of distribution=12

We have to find the true statement about the mode of the distribution.

We know that the relation between mode, mean and median

Mean-mode=3(mean-median)

Substitute the values in the formula then, we get

12-Mode=3(12-12)=3(0)=0

Mode=12

Hence, the mode of the distribution=12

Answer:C.The mode is equal to 12

Answer 2

The statement that is true about the mode of distribution is there is not enough information to compare the mode. The correct answer is B.