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

• A. $mean=2.8$ and $median=3$
• B. $mean=2.8$ and $median=3.8$
• C. $mean=2$ and $median=3$
• D. $mean=3.2$ and $median=3$

Answer 1

Answer: (A)

$mean=2.8$ and $median=3$

Arranging the given data in ascending order, we get

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

Number of observations = $10$

$Mean=\frac{Sumofallobservations}{Numberofobservations}$

$⟹Mean=\frac{0+1+2+3+3+3+3+4+4+5}{10}$

$⟹Mean=\frac{28}{10}=2.8$

$Median=Meanof{5}^{th}and{6}^{th}observationsinordereddata$

$⟹Median=\frac{3+3}{2}=3$