Question

find the median when mode = 12.4 mean =10.5 find the median​

Answer 1

Direct Formula : Mode = 3 (Median) - 2 (Mean)

Putting given values, we get

→ 12.4 = 3 (Median) - 2 (10.5)

→ 3 (Median) = 12.4 + 2 (10.5)

→ 3 (Median) = 12.4 + 21

→ 3 (Median) = 33.4

→ Median = 33.4/3

→ Median = 11.133

Hence, the median is 11.133.

Answer 2

Answer:

For the given data, median is equal to 11.133.

Step-by-step explanation:

Given that,

       Mode = 12.4  and Mean = 10.5

       By using the empirical formula,

          $Mode= 3(Median)-2(Mean)$

            $Median=\frac{1}{3}[2mean+mode]$

                          $=\frac{1}{3}[(2)(10.5)+12.4]$

         ∴       $Median=11.133$