Question

mode and median of an data is 12 and 15 respectively then find the median​

Answer 1

Correct Question :

Mean and Mode of a given data is 12 and 15 respectively. Find the Median.

Solution :

We know the Formula that,

$\sf{Mode = 3 \: Median \: - 2 \: Mean}$

Put the values.

Let the Median be m.

⇒ $\sf{15 = 3m \: - 2(12)}$

⇒ $\sf{ 15 = 3m - 24}$

⇒ $\sf{3m = 39}$

⇒ $\boxed{ \bf \red{m = 13}}$

Hence, Median Of Given Data = 13.

Answer 2

$\rm\boxed\checkmark$ Correct Question :-

• Mean and Mode of given data = 12 and 15. Find the Median.

$\rm\boxed\checkmark$ Solution :-

We know that,

$\implies\sf{Mode = 3 \: Median - 2 \: Mean}$

Values,

Median = m.

$\implies\sf{15 = 3m - 2(12)} \\ \\ \implies\sf{15 = 3m - 24} \\ \\ \sf{Now, \: Plus \: the \: 15 \: and \: 24} \\ \\ \implies\sf{15 + 24 = 39} \\ \\ \implies{\textsf{\textbf{3m \: = 39}}} \\ \\ \sf{Now, \: divide \: 39 \: by \: 3} \\ \\ \implies\sf{13} \\ \\ \implies{\underline{\boxed{\textsf{\textbf{\blue{m = 13}}}}}}$

So,

• Median = 39.