Find the mean of given data.
$x + 77, x + 7, x + 5, x + 3, x + 2.$

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Solution

Given observations are $x + 77, x + 7, x + 5, x + 3, x + 2.$ .

We know that, arithmetic mean $= \frac{Sum of all observations}{Total number of observations}$

Hence, the arithmetic mean of the given $5$ observations $= \frac{x + 77 + x + 7 + x + 5 + x + 3 + x + 2}{5}$

$\Rightarrow \frac{5 x + 94}{5} = \frac{5 x}{5} + \frac{94}{5}$

$\Rightarrow x + 18.8$

Hence, the mean of the given data is $x + 18.8$ .

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Question 77

Solve the following:

3(5x-7)+2(9x-11)=4(8x-7)-111

x_i:	1 ≤ x < 3	3 ≤ x < 5	5 ≤ x < 7	7 ≤ x < 10
f_i:	6	4	5	1

x + 3, x + 5, x + 7, x + 9

x + 11

\frac{2}{x} - \frac{3}{y} = 15 : \frac{8}{x} + \frac{5}{y} = 77

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