Q19 of 46 Page 278

The weights of coffee in 70 jars are shown in the following table:


Determine variance and standard deviation of the above distribution.

Given: the weights of coffee in 70 jars


To find: the variance and standard deviation of the distribution


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



Here mean,


So the above table with more columns is as shown below,



And we know standard deviation is



Substituting values from above table, we get





σ=1.08g


And σ2=1.082=1.17g


Hence the variance and standard deviation of the distribution are 1.166g and 1.08 respectively.


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