The frequency distribution of a variable x is xi : 2 3 1 5 fi : 1 2 3 1 then the mean is ans. 1/2 2 7/16 16/7
Question
The frequency distribution of a variable x is xi : 2 3 1 5 fi : 1 2 3 1 then the mean is ans. 1/2
2
7/16
16/7
Solution
The mean (or average) of a frequency distribution can be calculated using the formula:
Mean = Σ(xi * fi) / Σfi
Where: xi = values of the variable fi = frequency of each value
Let's calculate the mean for the given frequency distribution:
xi : 2 3 1 5 fi : 1 2 3 1
Mean = [(21) + (32) + (13) + (51)] / (1 + 2 + 3 + 1) Mean = [2 + 6 + 3 + 5] / 7 Mean = 16 / 7
So, the mean of the given frequency distribution is 16/7.
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