Find the number of observations,if the sum of | vedclass

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(B) The formula for the mean of a set of observations is given by: $	ext{Mean} = \frac{	ext{Sum of observations}}{	ext{Number of observations}}$.Gi

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) The formula for the mean of a set of observations is given by: $	ext{Mean} = \frac{	ext{Sum of observations}}{	ext{Number of observations}}$.Given that the sum of observations is $975$ and the mean is $32.5$.Let the number of observations be $n$.Substituting the values into the formula: $32.5 = \frac{975}{n}$.Rearranging the equation to solve for $n$: $n = \frac{975}{32.5}$.$n = \frac{9750}{325} = 30$.Therefore,the number of observations is $30$.

Ages (in years)	Number of teachers
$20-24$	$10$
$25-29$	$28$
$30-34$	$32$
$35-39$	$48$
$40-44$	$50$
$45-49$	$35$
$50-54$	$12$

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

Find the number of observations,if the sum of some observations is $975$ and their mean is $32.5$.

Similar Questions

Draw a histogram to represent the following grouped frequency distribution:

Ages (in years) Number of teachers

$20-24$ $10$

$25-29$ $28$

$30-34$ $32$

$35-39$ $48$

$40-44$ $50$

$45-49$ $35$

$50-54$ $12$

Obtain the mean of the following distribution:

Frequency $(f_i)$ Variable $(x_i)$

$4$ $4$

$8$ $6$

$14$ $8$

$11$ $10$

$3$ $12$

Find the mean of the first seven natural numbers.

The mean of $10$ observations is $48$. If each observation is divided by $3$,what will be the new mean?

The median of the following observations arranged in ascending order is $53 :$ $41, 48, x+1, x+5, 62, 72$. Find $x$.

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