Question

The following number of goals were scored by a team in a series of 10 matches:-

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

Answer 1

The number of goals scored by the team is

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

`"Mean of data "="Sum of all observations"/"Total number of observations"`

`"Mean of score "=(2+3+4+5+0+1+3+3+4+3)/10 = 28/10=2.8"goals"`

Arranging the number of goals in ascending order,

0, 1, 2, 3, 3, 3, 3, 4, 4, 5

The number of observations is 10, which is an even number. Therefore, median score will be the mean of 10/2 i.e., 5^th and (10/2)+1 i.e., 6^th observation while arranged in ascending or descending order.

`"Median score"="fifth observation + sixth observation"/2`

                    `= (3+3)/2`

                    `=6/2`

                     = 3

Mode of data is the observation with the maximum frequency in data.

Therefore, the mode score of data is 3 as it has the maximum frequency as 4 in the data.