Question

The number of goals scored by Lionel Messi in the La Liga for 6 seasons from 2011-17 are tabulated below. Find the mean number of goals scored per season using the assumed mean method.

$\begin{array}{cc}Season& Number\\ & ofgoals\\ 2011-12& 50\\ 2012-13& 46\\ 2013-14& 28\\ 2014-15& 43\\ 2015-16& 26\\ 2016-17& 37\end{array}$

• A. 35.4
• B. 38.3
• C. 39.5
• D. 41

Answer 1

The correct option is B 38.3

Choose 37 as the assumed mean i.e A =37
Number of observations, N =6

$\begin{array}{cc}Number& D\\ ofgoals\left(X\right)& (X-A)\\ 50& 13\\ 46& 9\\ 28& -9\\ 43& 6\\ 26& -11\\ 37& 0\\ & \sum D=8\end{array}$

$Meangoals/season=A+\frac{\sum D}{N}=37+\frac{8}{6}=38.3goals/season$