Question

write the relation between mean, median, mode if mean and mode of grouped data 16.5 and 17.5 then find median​

Answer 1

Answer:

Example Question Using the Mean, Median and Mode Relationship

Question: In a moderately skewed distribution, the median is 20 and the mean is 22.5. Using these values, find the approximate value of the mode.

Solution:

Given,

Mean = 22.5

Median = 20

Mode = x

Now, using the relationship between mean mode and median we get,

(Mean – Mode) = 3 (Mean – Median)

So,

22.5 – x = 3 (22.5 – 20)

22.5 – x = 7.5

∴ x = 15

So, Mode = 15.