Question

Question 18
The weight of coffee in 70 packets are shown in the following table
$\begin{array}{cc}Weight\left(ing\right)& Numberofpackets\\ 200-201& 12\\ 201-202& 26\\ 202-203& 20\\ 203-204& 9\\ 204-205& 2\\ 205-206& 1\end{array}$
Determine the model weight.

Answer 1

In the given data, the highest frequency is 26, which lies in the interval 201-202
Here, l = 201, $f_m=26,f_1=12,f_2=20$ and (class width) h = 1
$\therefore$ Mode $=l+\left(\frac{f_m-f_1}{2f_m-f_1-f_2}\right)\times h=201+\left(\frac{26-12}{2\times 26-12-20}\right)\times 1$
$=201+\left(\frac{14}{52-32}\right)=201+\frac{14}{20}=201+0.7=201.7g$
Hence, the modal weight is 201.7 g.