Calculate the mean for the following distribution:
x : 5 6 7 8 9
f : 4 8 14 11 3

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Solution

$M e a n space equals space fraction numerator begin display style sum for i equals 1 of f subscript i x subscript i end style over denominator begin display style sum for i equals 1 of f subscript i end style end fraction$ = $fraction numerator 20 plus 48 plus 98 plus 88 plus 27 over denominator 4 plus 8 plus 14 plus 11 plus 3 end fraction equals 281 over 40 equals 7.025$
The mean of given distribution is 7.025

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Similar questions

Number	5	10	15	20	25	30	35
Frequency	1	2	5	6	3	2	1

Calculate the mean for the following frequency distribution using direct method.

$\begin{matrix} C l a s s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 f_{i} & 6 & 8 & 20 & 25 & 15 & 10 & 4 \end{matrix}$

x :	5	6	7	8	9
f :	4	8	14	11	3

Calculate mean, variance and standard deviation of the following distribution :

$\begin{matrix} Class : & 1 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Frequency: & 11 & 29 & 18 & 4 & 5 & 3 \end{matrix}$

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