Question

find median,using an empirical relation,when it is given that mode and mean are8 and 9 respectively

Answer 1

Given Mode = 8 Mean = 9 Empirical formulae is 3(median ) - 2(mean) =mode 8= 3(median) - 18 8+18=3(median) 26=3(median) Median=26/3 Median=8.66

Answer 2

Given:

Mode = 8, Mean =9

To Find:

Median by empirical formula?

Step-by-step explanation:

• Since  we know the empirical formula for relation between mode, mean and Median is given by Mode-Mean=3(Median-Mean)

• We have Mode = 8, Mean= 9 put these value in above equation we  

                   8-9=3(Median-9)

• on solving it we get

                 $-1=3(Median-9)\\-\frac{1}{3} +9=Median\\Median=\frac{26}{3}$

Thus median is$\frac{26}{3}$.