Question

find the mode of the data, using an empirical formula, when it is given that median =41.25 and mean=33.75

Answer 1

Thanks for asking the question.
Given Data:
1. median= 41.25
2. mean= 33.75
Formula and calculations:
mode = 3 * median - 2 * mean
putting values of median and mean, we get:
= 3 * 41.25 - 2 * 33.75
= 123.75 - 6.75
Mode = 56.25
hence, 56.25 is the required answer.
Hope it helps.

Answer 2

Hi ,

We know that ,

Mode = 3× median - 2 × mean

= 3 × 41.25 - 2 × 33.75

= 123.75 - 67.50

= 56.25

I hope this helps you.

:)