Suppose both the mean and median of a distribution are 6. Which of these statement is true about the mode of the distribution? A

Question

3 years ago

8

. 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.

2 answers:

Afina-wow [57] · Answer 1 · 2022-10-01T09:27:47+03:00

6 0

There is not enough information to compare the mode. d

gavmur [86] · Answer 2 · 2022-10-01T11:52:03+03:00

Answer: Option 'A' is correct.

Step-by-step 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 :

$3\times 6-2\times 6=Mode\\\\18-12=Mode\\\\6=Mode$

Hence, the mode is equal to 6.

Therefore, Option 'A' is correct.