Question

The mode and mean of a data is 80 and 75 respectively.Find it's median​

Answer 1

$Given \: mode = 80\: and \: mean = 75$

/* We know that */

$\boxed{ \pink { 3\times median - 2 \times mean = mode }}$

$\implies 3\times median - 2 \times 75 = 80$

$\implies 3\times median -150 = 80$

$\implies 3\times median = 150+ 80$

$\implies 3\times median = 230$

$\implies median = \frac{230}{3}$

$= 76.66$

Therefore.,

$\red{ median }\green {= \frac{230}{3}}$

$\green { = 76.66 }$

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