Calculate the Arthimetic mean of the following data.
x $15$ $25$ $35$ $45$ $55$ $65$ $75$ $85$
f $12$ $20$ $15$ $14$ $16$ $11$ $7$ $8$

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Solution

Table for calculating mean
$x$ $f$ $f x$
15 12 180
25 20 500
35 15 525
45 14 630
55 16 880
65 11 715
75 7 525
85 8 680

$\sum f = 103$ and $\sum f x = 4635$
Then, Arithmetic mean $= \frac{Σ f x}{Σ f} = \frac{4635}{103} = 45$

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x	$15$	$25$	$35$	$45$	$55$	$65$	$75$	$85$
f	$12$	$20$	$15$	$14$	$16$	$11$	$7$	$8$

Calculate the Arthimetic mean of the following data.x1525354555657585f12201514161178

Table for calculating meanx f fx15 12 18025 20 50035 15 52545 14 63055 16 88065 11 71575 7 52585 8 680∑f=103 and ∑fx=4635Then, Arithmetic mean =ΣfxΣf=4635103=45

Calculate the Arthimetic mean of the following data.
x $15$ $25$ $35$ $45$ $55$ $65$ $75$ $85$
f $12$ $20$ $15$ $14$ $16$ $11$ $7$ $8$

Table for calculating mean
$x$ $f$ $f x$
15 12 180
25 20 500
35 15 525
45 14 630
55 16 880
65 11 715
75 7 525
85 8 680

$\sum f = 103$ and $\sum f x = 4635$
Then, Arithmetic mean $= \frac{Σ f x}{Σ f} = \frac{4635}{103} = 45$