Question

Find the median of data : 2, 2, 0, 4, 10, 6, 8, 5, 7.

Answer 1

Answer:

Step-by-step explanation:

5

Answer 2

Answer:

Given data :

• 2, 2, 0, 4, 10, 6, 8, 5, 7

To Find :-

• What is the median of the data.

Solution :-

Given data :

➦ 2, 2, 0, 4, 10, 6, 8, 5, 7

First, we have to arranging data in ascending order :

➲ 0, 2, 2, 4, 5, 6, 7, 8, 10

Here,

$\mapsto$ Number of observations = 9 (odd)

Since, n is odd, we know that :

$\clubsuit$ Median Formula if 'n' is odd :

$\mapsto \sf\boxed{\bold{\pink{Median =\: \bigg(\dfrac{n + 1}{2}\bigg)^{th}}}}$

Given :

• Number of observations (n) = 9

According to the question by using the formula we get,

$\longrightarrow \sf Median =\: \bigg(\dfrac{9 + 1}{2}\bigg)^{th}$

$\longrightarrow \sf Median =\: \bigg(\dfrac{\cancel{10}}{\cancel{2}}\bigg)^{th}$

$\longrightarrow \sf Median =\: \bigg(\dfrac{5}{1}\bigg)^{th}$

$\longrightarrow \sf Median =\: 5^{th}\: observations$

$\longrightarrow \sf\bold{\red{Median =\: 5}}$

${\small{\bold{\purple{\underline{\therefore\: The\: median\: is\: 5\: .}}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

EXTRA INFORMATION :-

$\clubsuit$ Median Formula if 'n' is even :

$\footnotesize\mapsto \sf\boxed{\bold{\pink{Median =\: \dfrac{\bigg(\dfrac{n}{2}\bigg)^{th}\: observations + \bigg(\dfrac{n}{2} + 1\bigg)^{th}\: observations}{2}}}}$

where,

• n = Number of observations