In a maths test taken by 40 students,the aver | vedclass

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Question

(B) The average score of a group is calculated by dividing the total sum of scores by the total number of students.Total score of $30$ boys = $30 	im

Vedclass · Accepted Answer

$\frac{(30 	imes 16)+(10 	imes 12)}{30+10}$

Vedclass · Answer

(B) The average score of a group is calculated by dividing the total sum of scores by the total number of students.Total score of $30$ boys = $30 	imes 16 = 480$.Total score of $10$ girls = $10 	imes 12 = 120$.Total score of the whole class = $480 + 120 = 600$.Total number of students = $30 + 10 = 40$.Average score of the whole class = $\frac{	ext{Total score}}{	ext{Total students}} = \frac{480 + 120}{40} = \frac{(30 	imes 16) + (10 	imes 12)}{30 + 10}$.Thus,the correct expression is $\frac{(30 	imes 16) + (10 	imes 12)}{30 + 10}$.

Class	$12.5-17.5$	$17.5-22.5$	$22.5-27.5$	$27.5-32.5$	$32.5-37.5$
Frequency	$2$	$22$	$19$	$14$	$13$

Marks	Number of students
Below $10$	$10$
Below $20$	$50$
Below $30$	$130$
Below $40$	$270$
Below $50$	$440$
Below $60$	$570$
Below $70$	$670$
Below $80$	$740$
Below $90$	$780$
Below $100$	$800$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$x$	$20$	$18$	$y$	$14$

In a maths test taken by $40$ students,the average score of $30$ boys is $16$ and the average score of $10$ girls is $12$. Which of the following gives the average score of the whole class?

Similar Questions

Construct the cumulative frequency distribution of the following distribution:

Class $12.5-17.5$ $17.5-22.5$ $22.5-27.5$ $27.5-32.5$ $32.5-37.5$

Frequency $2$ $22$ $19$ $14$ $13$

For a given frequency distribution,$A = 200$,$\Sigma f_{i} = 45$,$\Sigma f_{i} u_{i} = -216$ and $c = 10$. Then,mean $\bar{x} = \dots$

Find the median of the following frequency distribution:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$

The median of the following frequency distribution is $49$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $2$ $6$ $8$ $x$ $20$ $18$ $y$ $14$

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