Question

Fill in the following table and find the mean weight.

$\begin{array}{ccc}\text{Weight in kg}\left(x_i\right)& \text{No. of girls}\left(f_i\right)& f_i\times x_i\\ 40& 6& \text{\_\_\_\_\_\_}\\ 42& 6& \text{\_\_\_\_\_\_}\\ 34& 15& \text{\_\_\_\_\_\_}\\ 36& 14& \text{\_\_\_\_\_\_}\\ 46& 7& \text{\_\_\_\_\_\_}\\ & N=\text{\_\_\_\_\_\_}& \sum x_i{f}_i=\text{\_\_\_\_\_}\end{array}$

Answer 1

$\begin{array}{ccc}\text{Weight in kg}\left(x_i\right)& \text{No. of girls}\left(f_i\right)& f_i\times x_i\\ 40& 6& 240\\ 42& 6& 252\\ 34& 15& 510\\ 36& 14& 504\\ 46& 7& 322\\ & N=48& \sum x_i{f}_i=1828\end{array}$

Mean weight $=\frac{\sum x_i{f}_i}{f_i}$

$=\frac{1828}{48}$

= 38.08 kg