Question

If thr mean of x observations is 30 and their mode is 75, then find its median

Answer 1

Answer:

Step-by-step explanation:

We have the empirical formula

Mode = 3median - 2mean

By substituting the given values

75 =3median - 2(30)

75=3median-60

3median=75+60

Median =135/3

Median =45

Answer 2

$\mathsf{Hoy !!}$

$\mathsf{\underline{ \ Given \ : \ }}$

$\mathsf{\implies \ Mean \ = \ 30}$

$\mathsf{\implies \ Mode \ = \ 75}$

$\mathsf{\underline{ \ Using \ Empirical \ Formula \ : \ }}$

${\boxed{\boxed{\mathsf{\purple{Mode \ = \ 3 \ Median \ - \ 2 \ Mean}}}}}$

$\mathsf{\underline{ \ Solution \ : \ }}$

$\mathsf{Putting \ values}$

$\mathsf{\implies \ 75 \ = \ 3 \ Median \ - \ 2 \ ( \ 30 \ )}$

$\mathsf{\implies \ 75 \ = \ 3 \ Median \ - \ 60}$

$\mathsf{\implies \ 3 \ Median \ = \ 135}$

$\mathsf{\implies \ Median \ = \ {\dfrac{135}{3}}}$

${\boxed{\mathsf{\red{\implies \ Median \ = \ 45}}}}$

^^"