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

Marks obtained	Number of students
More than or equal to $0$	$63$
More than or equal to $10$	$58$
More than or equal to $20$	$55$
More than or equal to $30$	$51$
More than or equal to $40$	$48$
More than or equal to $50$	$42$

Class	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$
Frequency	$2$	$5$	$8$	$10$	$7$	$10$	$3$

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 $100$	$800$

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?

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In the formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ for the mean,$d_{i} = \dots$

The median class in the following frequency distribution is ..........

Class $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ $45-50$ $50-55$

Frequency $2$ $5$ $8$ $10$ $7$ $10$ $3$

If $x_{i}$ are the midpoints of the class intervals of grouped data,$f_{i}$ are the corresponding frequencies,and $\bar{x}$ is the mean,then $\sum (f_{i} x_{i} - f_{i} \bar{x})$ is equal to

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