Question

Find the median of composite numbers between 20 and 40​

Answer 1

Answer:

Composite numbers between 20 and 40 are:

21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40

Median-The median of a set of numbers is the middle number

Therefore the median is 29

Answer 2

Answer :-

Median of composite numbers between 20 and 40 is 8.5.

To find :-

The median of composite numbers between 20 and 40

Step-by-step explanation :-

Here, We need to find composite numbers between 20 and 40 and then We have to find their median.

Here,

The number of observations is 7, which is odd.

Data :-

21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40.

We know that :-

$\sf Median = \dfrac{{\bigg( \dfrac{n}{2} \bigg)}^{th} + {\bigg(\dfrac{n }{2} + 1 \bigg)}^{th} observation}{2}$

Hence,

$\rm Median = \dfrac{{\bigg( \dfrac{16}{2} \bigg)}^{th} + {\bigg(\dfrac{16}{2} + 1 \bigg)}^{th} observation}{2}$

Dividing the fractions,

$\rm Median = \dfrac{{8 + 9}^{th} observation}{2}$

Now put the values of 8th and 9th term,

$\rm \longmapsto \dfrac{30 + 32}{2}$

$\rm \longmapsto \dfrac{62}{2}$

$\rm \longmapsto \overline{\boxed{{31} }}$

Arranging in ascending order,

• 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40.

Hence,

Median = 31