The sum of 15 observations of a data is $434 + x .$ If the mean of the data is $x,$ then find $x .$

25

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27

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31

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33

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Solution

The correct option is C $31$
Given, sum of all observations = $434 + x$
$n = 15, ¯ ¯ ¯ x = x$
Therefore,
$\frac{434 + x}{15} = x$

$434 + x = 15 x$

$x = 31$

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Similar questions

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

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

If the number of observations in a data set is 25 and the mean of the data is 32. Then, the sum of all observations is ____________

15

420

31, 33, 35, x, x + 10, 48, 48, 50

40

x

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