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Standard X

Mathematics

Best Suited Measure of Central Tendency in Different Cases and the Empirical Relationship between Them

The following...

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 mean , median and mode of these scores :

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Solution

Arranging the scores in ascending order, we get,
$0, 1, 2, 3, 3, 3, 3, 4, 4, 5$
Therefore,
Mean = $\frac{0 + 1 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 5}{10}$ = $\frac{28}{10} = 2.8$
Median = $\frac{3 + 3}{2} = 3$
Mode = $3$

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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 mean , median and mode of these scores :

Arranging the scores in ascending order, we get,0,1,2,3,3,3,3,4,4,5Therefore,Mean = 0+1+2+3+3+3+3+4+4+510 = 2810=2.8Median = 3+32=3Mode = 3

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 mean , median and mode of these scores :

Arranging the scores in ascending order, we get,
$0, 1, 2, 3, 3, 3, 3, 4, 4, 5$
Therefore,
Mean = $\frac{0 + 1 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 5}{10}$ = $\frac{28}{10} = 2.8$
Median = $\frac{3 + 3}{2} = 3$
Mode = $3$