Question

For the given data given below, calculate the mean of its median and mode.

6, 2, 5, 4, 3, 4, 4, 2, 3

Answer 1

Given data in ascending order is 2, 2, 3, 3, 4, 4, 4, 5, 6

Hence, n = 9  ...(Odd)

Median = Value of `((n + 1)/2)`th observation

= Value of `((9 + 1)/2)`th observation

= 5^th observation

= 4

Mode = Most frequent observation = 4

Mean is the central value.

∴ Mean = `1/2 [3 xx "Median" - "Mode"]`

= `1/2 [3 xx 4 - 4]`

= `1/2 [12 - 4]`

= `1/2 xx 8`

= 4