Question

mode of the data is 34 and mean is 30 find the mean

Answer 1

Given

• Mode=34
• Mean=30

To Find

• Median

We know that

$~~~~~~~~~\boxed{\bf{3Median=Mode+2Mean}}$

On Substituting the value

$\\\dashrightarrow\sf{3Median=34+2 \times 30}$

$\\\dashrightarrow\sf{Median= \cfrac{34+60}{3}}$

$\\\dashrightarrow\sf{Median= \cfrac{94}{3}}$

$\\\dashrightarrow\sf{Median= 31.33..}$

More to know:

$\\\boxed{\bf{Mean=\dfrac{\sum f_1 x_1}{\sum f_1}}}$

$\begin{gathered}\begin{gathered}\\\begin{gathered} \sf{Median}\begin{cases}\sf{\:\;\; value \: of \: \left( \frac{n+1}{2}\right)^{th} observations \: if \: n \: is \: odd} \\ \\\sf{\;\;\; \cfrac{value \: of \: \left( \frac{n}{2}\right)^{th} observations + value \: of \: \left( \frac{n+1}{2}\right)^{th} observations} {2}\ if \ n \ is \ even}\end{cases}\end{gathered}\end{gathered} \end{gathered}$

$\bf{Class\ Mark=\dfrac{Lower \ limit+ upper\ limit}{2}}$