Question

The mean and mode of a variable are 5.5 and 6.4 respectively. Find its median. ans. in detail​

Answer 1

$\large\sf\underline{Given}$

• Mean = 5.5

• Mode = 6.4

$\large\sf\underline{To\:find}$

• $\sf\:Median$

$\large\sf\underline{Solution}$

We know empirical formula :

$\small{\underline{\boxed{\mathrm\purple{Mode=3\:Median-2\:Mean}}}}$

Let's substitute the given value in the formula :

$\sf\:6.4=3\:(Median)-2\:(5.5)$

$\sf⟹\:6.4=3Median-11$

$\sf\:oR \:3Median-11=6.4$

$\sf⟹\:3Median=6.4+11$

$\sf⟹\:3Median=17.4$

$\sf⟹\:Median=\frac{17.4}{3}$

$\sf⟹\:Median=\frac{174}{30}$

$\small{\underline{\boxed{\mathrm\red{➪\:Median\:=\:5.8}}}}$

• Thnku :)