Question

Find median of given observations : 101, 110, 105, 103, 108, 109, 110​

Answer 1

Answer:

Your answer are as follows:

Step-by-step explanation:

First arrange in ascending order

101,103,105,108,109,110,110

medium =108 ( middle number )

Answer 2

Given :

The observations: 101, 110, 105, 103, 108, 109, 110

To Find :

The median.

Solution :

Here we first have to count the number of observations. According to that information we will solving the problem.

Explanation :

Let's arrange the observations in ascending order: 101, 103, 105, 108, 109, 110, 110.

Here we can see that number of observations (n) = 7 (odd)

Therefore,

The formula for median is,

$\boxed{\bf Median=\left(\dfrac{n+1}{2}\right)^{th\ observation}}$

where,

• n = 7

Substituting the values,

$\\ :\implies\sf Median=\left(\dfrac{7+1}{2}\right)^{th\ observation}$

$\\ :\implies\sf Median=\left(\dfrac{8}{2}\right)^{th\ observation}$

$\\ :\implies\sf Median=\left(\dfrac{\not{8}}{\not{2}}\right)^{th\ observation}$

$\\ :\implies\sf Median=4^{th\ observation}$

Median = 4th Observation

So,

According to our ascending order,

4th observation = 108.

Median is 108.

Explore More :

• Median for even no of observations :

$\bf Median=\left[\dfrac{\left(\dfrac{n}{2}\right)^{th\ observation}+\left(\dfrac{n}{2}+1\right)^{th\ observation}}{2}\right]$

where,

• n = even no of observations