If the mean of 12, 13, x, 17, 18 and 20 is 16 | vedclass

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(D) The formula for the mean of $n$ observations is $\bar{x} = \frac{\sum x_i}{n}$.Given observations are $12, 13, x, 17, 18, 20$ and the number of ob

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$16$

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(D) The formula for the mean of $n$ observations is $\bar{x} = \frac{\sum x_i}{n}$.Given observations are $12, 13, x, 17, 18, 20$ and the number of observations $n = 6$.The mean is given as $16$.Substituting the values into the formula:$16 = \frac{12 + 13 + x + 17 + 18 + 20}{6}$$16 = \frac{80 + x}{6}$Multiplying both sides by $6$:$96 = 80 + x$$x = 96 - 80$$x = 16$

Class	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$
Frequency	$2$	$5$	$8$	$10$	$7$	$10$	$3$

If the mean of $12, 13, x, 17, 18$ and $20$ is $16,$ then $x = \ldots \ldots \ldots \ldots .$

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