Question

Suppose both the mean and median of a distribution are 6. Which of these statement is true about the mode of the distribution? A. The mode is equal to 6. B. The mode is greater than 6. C. The mode is less than 6. D. There is not enough information to compare the mode.

Answer 1

there is not enough information to compare the mode. d

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we have given that

Mean of a distribution = 6

Median of a distribution = 6

As we know the relation between Mean, Median and Mode that is given by

`3\ Median-2\ Mean=Mode`

We put the values of Mean and Median in the above relation :

`3* 6-2* 6=Mode\\\\18-12=Mode\\\\6=Mode`

Hence, the mode is equal to 6.

Therefore, Option 'A' is correct.