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The frequency distribution of a variable x is xi : 2 3 1 5 fi : 1 2 3 1 then the mean is ans.

Question

The frequency distribution of a variable x is xi : 2 3 1 5 fi : 1 2 3 1 then the mean is ans.

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Solution

The mean (or average) of a frequency distribution can be calculated using the formula:

Mean = Σ(xi * fi) / Σfi

Where: xi = value of the variable fi = frequency of the variable

Let's calculate:

Mean = [(21) + (32) + (13) + (51)] / (1 + 2 + 3 + 1) Mean = [2 + 6 + 3 + 5] / 7 Mean = 16 / 7 Mean = 2.29 (rounded to two decimal places)

So, the mean of the given frequency distribution is approximately 2.29.

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