Question

A hockey player has scorred floowing number of goals in 9 matches 5,4,0,2,2,4,4,3,3 find the mean ,median and mode of the data

Answer 1

To find mean ➡

Given observations ➡ 5,4,0,2,2,4,4,3,3

Number of observations ➡ 9

$Mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ \\ Mean = \frac{5 + 4 + 0 + 2 + 2 + 4 + 4 + 3 + 3}{9} \\ \\ Mean = \frac{27}{9} \\ \\ Mean = 3$

$\boxed{Mean = 3}$

To find median ➡

Given observations ➡ 5,4,0,2,2,4,4,3,3

Number of observations ➡ 9

Ascending order ➡ 0,2,2,3,3,4,4,4,5

$Median = \frac{n + 1}{2} \\ \\ Median = \frac{9 + 1}{2} \\ \\ Median = \frac{10}{2} \\ \\ Median = 5 th \: observation \\ \\ Median = 3$

$\boxed{Median = 3}$

To find mode ➡

Given observations ➡ 5,4,0,2,2,4,4,3,3

Ascending order ➡ 0,2,2,3,3,4,4,4,5

The number which repeats frequently is known as mode of the data .

Here 4 is the mode of the data.

$\boxed{Mode=4}$