For the frequency distribution:

For the frequency distribution:

Find the standard distribution.


Given frequency distribution table

Now we have to find the standard deviation

Let us make a table of the given data and append other columns after calculations

And we know standard deviation is

$\sigma=\sqrt{\frac{\sum f_{i} x_{i}^{2}}{n}-\left(\frac{\sum f_{i} x_{i}}{n}\right)^{2}}$

Substituting values from above table, we get





$\Rightarrow \sigma=1.37$

Hence the standard deviation is $1.37 .$


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