Q18 of 46 Page 278

Determine the mean and standard deviation for the following distribution:

Given: the frequency distribution


To find: the mean and standard deviation


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=2.9


Hence the mean and standard deviation of the marks are 6 and 2.9 respectively.


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