Question

The following number of goals were scored by a team in a series of 10 matches : 3, 3, 4, 5, 7, 1, 3, 3, 4, 3. Find mean, median and mode of these scores.

Answer 1

mean = (3+3+4+5+7+1+3+3+4+3)/10

= 36/10

= 3.6

mode = 3

Answer 2

Answer:

Mean = 3.6,

Mean = 4.6,Median = 3,

Mean = 4.6,Median = 3,Mode = 3

Step-by-step explanation:

$Given \: number \: of \:goals:\\3,3,4,5,7,1,3,3,3,4$

$i) Mean = \frac{Sum\:of \: the\: goals }{Total \: matches }$

$=\frac{3+3+4+5+7+1+3+3+4+3}{10}\\=\frac{36}{10}\\=3.6$

Finding median:

$Rearranging \: the \: scores\\in \: ascending \:order,\\we\:get$

$1,3,3,3,3,3,4,4,5,7$

$Number \: matches (n)=10\:(even)$

$Median \\=Average \: of \: \frac{n}{2} \:and \: \frac{n}{2}+1 \: terms \\=average \: of \: 5^{th}\: and \: 6^{th}\:terms$

$=\frac{3+3}{2}\\=\frac{6}{2}\\=3$

Finding the mode:

Mode = 3 [ Most repeated term]

Therefore,

Mean = 3.6,

Median = 3,

Mode = 3

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