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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.
Solution
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., 5th and (10/2)+1 i.e., 6th 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.
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