Question

Find the median of observation 3,6,7,11,​13,17,18,25 is a)11 b)13 c )4.5 d)12

Answer 1

Step-by-step explanation:

3,6,7,11,13,17,18,25

median is 11 and 13

11+13/2

24/2

12

median=12

option:d

Answer 2

Given:

A data 3, 6, 7, 11, 13, 17, 18, 25.

To find:

The median of the given data.

Solution:

The correct option is (d) 12.

As we know that if there is an odd number (n) of observations in a data, then its median is obtained by:

$( \frac{n + 1}{2} )th \: observation$

Also,

if there is an even number (n) of observations in a data, then median is obtained by:

$\frac{ (\frac{n}{2})th \: observation \: + (\frac{n}{2} + 1)th \: observation }{2}$

Now,

as given, we have,

A data

3, 6, 7, 11, 13, 17, 18, 25.

As we can see, there are 8 observations in the given data set.

So,

n = 8, which is even

So,

$\frac{n}{2} th \: observation \: = \frac{8}{2} = 4th \: observation$

4th observation = 11

Also,

$(\frac{n}{2} + 1)th \: observation \: = \:( 4 + 1)th \: observation \: = \: 5th \: observation$

5th observation = 13

So,

the median is

$= \frac{11 + 13}{2}$

$= \frac{24}{2}$

$= 12$

Hence, the median of the data is (d) 12.