Question

Calculate the mode for a frequency distribution for which median and mean are 50 and 55.

Answer 1

$\large \underline{ \underline{ \sf \: Answer : \: \: \: }}$

$\to$Mode = 55

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

Median = 55

Mean = 55

We know that ,

$\large \fbox{ \fbox{ \sf 3 × Median = Mode + 2 × Mean }}$

$\to \sf 3 \times 55 = Mode + 2 \times 55 \\ \\ \to \sf 16 5 = Mode + 110 \\ \\ \to \sf Mode =5 5$

Hence , the required value is 55