Question

Find the mean,median and mode of the following
14,25,14,28,18,17,18,14,23,22,14,18​

Answer 1

mode=14. because 14 is repeating more times than all. so mode =14

mean=18.75

solution by step by step:

mean=sum of observation

no.of observations

=14+25+14+28+18+17+18+14+23+22+14+18

12.

=225. =18.75

12

Answer 2

Given :

⬤ 14 , 25 , 14 , 28 , 18 , 17 , 18 , 14 , 23 , 22 , 14, 18 .

To Find :

⬤ Mean .

⬤ Median

⬤ Mode .

Formula Used :

$\bf[\:{Mean = \dfrac{Sum \: of \: all \: Observation}{Total \: Number \: of \: Observation}}\:]$

Solution :

According to the Formula :-

Sum of all Observation/Total No. of Observation

225/12

18.75

Therefore , Mean is 18.75 .

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Formula Used :

$\bf[\:{Median = \bigg(\dfrac{n}{2}\bigg) \: and \: \bigg(\dfrac{n+1}{2}\bigg)}\:]$

Solution :

First , We have to Calculate the Observation in Ascending order . Hence ,

14 , 25 , 14 , 28 , 18 , 17 , 18 , 14 , 23 , 22 , 14, 18

In Ascending Order :-

14 , 14 , 14 , 14. , 17 , 18 , 18 , 18 , 22 , 23 , 25 , 28

Now :

(12/2) and (12 + 1/2)

6 and 7 th term

Therefore , Median is 6th and 7th term. (18 , 18)

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Mode = A Number that Occurs for Most time .

14 , 25 , 14 , 28 , 18 , 17 , 18 , 14 , 23 , 22 , 14, 18

Therefore , Median is 14 .