Find the mean of the following distribution:

x: 10 12 20 25 35

f: 3 10 15 7 5

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Solution

The given distribution in tabulated form is

Prepare the following frequency table of which the first column consists of the values of the variate and the second column the corresponding frequencies. Multiply the frequency of each row with the corresponding values of variable to obtain the third column containing. Find the sum of all entries in the second and third column to obtain N andrespectively.

Find the sum of all entries in the second and third column to obtain N and respectively. Therefore,

Hence the mean is

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Similar questions

X	:	1	2	3	4	5	6	7	8	9	10
f	:	2	5	8	16	21	18	13	10	4	3

X = x_i :	1	2	3
P (X = x_i) :	$\frac{1}{4}$	$\frac{1}{8}$	$\frac{5}{8}$

x:	19	21	23	25	27	29	31
f:	13	15	16	18	16	15	13

X

X=x	0	1	2	3	4	5	6	7
P(X=x)	$0$	$k$	$2 k$	$2 k$	$3 k$	$k^{2}$	$2 k^{2}$	$7 k^{2} + k$

k

P (0 < X < 5)

Find the standard deviation for the following distribution :

$\begin{matrix} x : & 4.5 & 14.5 & 24.5 & 34.5 & 44.5 & 54.5 & 64.5 y : & 1 & 5 & 12 & 22 & 17 & 9 & 4 \end{matrix}$

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