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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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
$20-24$	$10$
$25-29$	$28$
$30-34$	$32$
$35-39$	$48$
$40-44$	$50$
$45-49$	$35$
$50-54$	$12$

Mid-point	Frequency
$5$	$4$
$15$	$8$
$25$	$13$
$35$	$12$
$45$	$6$

Heights (in $cm$)	Number of students
$150-153$	$7$
$153-156$	$8$
$156-159$	$14$
$159-162$	$10$
$162-165$	$6$
$165-168$	$5$

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

$20-24$ $10$

$25-29$ $28$

$30-34$ $32$

$35-39$ $48$

$40-44$ $50$

$45-49$ $35$

$50-54$ $12$

Prepare a continuous grouped frequency distribution from the following data:

Mid-point Frequency

$5$ $4$

$15$ $8$

$25$ $13$

$35$ $12$

$45$ $6$

Also,find the size of the class intervals.

The mean of natural numbers between $1$ to $20$ which are multiples of $3$ is ..........

Give five examples of primary data that you can collect from your day-to-day life.

Draw a histogram of the following distribution:

Heights (in $cm$) Number of students

$150-153$ $7$

$153-156$ $8$

$156-159$ $14$

$159-162$ $10$

$162-165$ $6$

$165-168$ $5$

Vedclass Test Series

Exam Paper Generator

Online Exam Module