The weights of tea in 70 packets are shown

Question:

The weights of tea in 70 packets are shown in the following table

Find the mean weight of packets.

Solution:

First,we find the class marks of the given data as follows,

Here, (assume mean) $a=203.5$

and (class width) $\quad h=1$

 

By assumed mean method,

$\operatorname{Mean}(\bar{x})=a+\frac{\Sigma f d_{i}}{\sum f_{i}}$

$=203.5-\frac{108}{70}$

 

$=203.5-1.54=201.96$

Hence, the required mean weight is 201.96 g

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