Question

if fi and xi is small value to to which mean formula use and find
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Answer 1

The mean (or average) of observations, is the sum of the values of all the observations divided by the total number of observations.

If x1, x2,. . ., xn are observations with respective frequencies f1, f2, . . ., fn, then this means observation x1 occurs f1 times, x2 occurs f2 times, and so on.

Now, the sum of the values of all the observations = f1x1 + f2x2 + . . . + fnxn,

and sum of the number of observations = f1 + f2 + . . . + fn.

So, the mean x of the data is given by

x=f1x1+f2x2+…fnxnf1+f2+…fnx=f1x1+f2x2+…fnxnf1+f2+…fn

Or, x=Σni−1f1x1Σni=1f

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