The mean of 35 observations is 42. Find the s | vedclass

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(D) The formula for the mean $(\bar{x})$ of $n$ observations is given by $\bar{x} = \frac{\Sigma f_{i} x_{i}}{n}$.Given that the number of observation

Vedclass · Accepted Answer

$1470$

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(D) The formula for the mean $(\bar{x})$ of $n$ observations is given by $\bar{x} = \frac{\Sigma f_{i} x_{i}}{n}$.Given that the number of observations $n = 35$ and the mean $\bar{x} = 42$.Substituting these values into the formula: $42 = \frac{\Sigma f_{i} x_{i}}{35}$.Therefore,the sum of the observations $\Sigma f_{i} x_{i} = 42 	imes 35$.Calculating the product: $42 	imes 35 = 1470$.Thus,the sum of the observations is $1470$.

Frequency $(f_i)$	Variable $(x_i)$
$4$	$4$
$8$	$6$
$14$	$8$
$11$	$10$
$3$	$12$

Outcome	$1$	$2$	$3$	$4$	$5$	$6$
Frequency	$180$	$150$	$160$	$170$	$150$	$190$

The mean of $35$ observations is $42$. Find the sum of those observations $\left(\Sigma f_{i} x_{i}\right)$.

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