Calculate the mean of the frequency distribut | vedclass

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(A) To calculate the mean,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$,where $x_i$ is the class mark.$1$. Find the class marks $(x_i)$

Vedclass · Accepted Answer

$27$

Vedclass · Answer

(A) To calculate the mean,we use the formula $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$,where $x_i$ is the class mark.$1$. Find the class marks $(x_i)$ for each interval:- For $0-10$,$x_1 = (0+10)/2 = 5$- For $10-20$,$x_2 = (10+20)/2 = 15$- For $20-30$,$x_3 = (20+30)/2 = 25$- For $30-40$,$x_4 = (30+40)/2 = 35$- For $40-50$,$x_5 = (40+50)/2 = 45$$2$. Calculate $f_i x_i$:- $20 	imes 5 = 100$- $10 	imes 15 = 150$- $20 	imes 25 = 500$- $30 	imes 35 = 1050$- $20 	imes 45 = 900$$3$. Calculate $\sum f_i x_i = 100 + 150 + 500 + 1050 + 900 = 2700$.$4$. Calculate $\sum f_i = 20 + 10 + 20 + 30 + 20 = 100$.$5$. Mean $\bar{x} = 2700 / 100 = 27$.

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
No. of students	$20$	$10$	$20$	$30$	$20$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$4$	$10$	$20$	$18$	$20$	$16$	$10$

Mileage $(km/l)$	$10-12$	$12-14$	$14-16$	$16-18$
Number of cars	$7$	$12$	$18$	$13$

Daily pocket allowance (in $Rs.$)	$11-13$	$13-15$	$15-17$	$17-19$	$19-21$	$21-23$	$23-25$
Number of children	$7$	$6$	$9$	$13$	$f$	$5$	$4$

Calculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test:

Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$

No. of students $20$ $10$ $20$ $30$ $20$

Similar Questions

Find the mean of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $2$ $4$ $10$ $20$ $18$ $20$ $16$ $10$

Calculate the mean of the scores of $20$ students in a mathematics test:

Marks $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Number of students $2$ $4$ $7$ $6$ $1$

For a given frequency distribution,$\bar{x}=54.3, \Sigma f_{i} u_{i}=2, n=25$ and $c=10$. Then the assumed mean $A = \dots$

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is $Rs. 18$. Find the missing frequency $f$.
Daily pocket allowance (in $Rs.$) $11-13$ $13-15$ $15-17$ $17-19$ $19-21$ $21-23$ $23-25$
Number of children $7$ $6$ $9$ $13$ $f$ $5$ $4$

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Calculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test: Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ No. of students $20$ $10$ $20$ $30$ $20$