The marks obtained by 30 students of Class X | vedclass

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

Question

(A) To find the mean marks,we calculate the product of each mark $(x_{i})$ with its corresponding frequency $(f_{i})$.Marks obtained $(x_{i})$Number o

Vedclass · Accepted Answer

$59.3$

Vedclass · Answer

(A) To find the mean marks,we calculate the product of each mark $(x_{i})$ with its corresponding frequency $(f_{i})$.Marks obtained $(x_{i})$Number of students $(f_{i})$$f_{i}x_{i}$$10$$1$$10$$20$$1$$20$$36$$3$$108$$40$$4$$160$$50$$3$$150$$56$$2$$112$$60$$4$$240$$70$$4$$280$$72$$1$$72$$80$$1$$80$$88$$2$$176$$92$$3$$276$$95$$1$$95$Total$\Sigma f_{i} = 30$$\Sigma f_{i}x_{i} = 1779$The mean $\bar{x}$ is given by the formula:$\bar{x} = \frac{\Sigma f_{i}x_{i}}{\Sigma f_{i}} = \frac{1779}{30} = 59.3$Therefore,the mean marks obtained by the students is $59.3$.

Class	$1-3$	$3-5$	$5-7$	$7-10$
Frequency	$9$	$22$	$27$	$17$

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

Similar Questions

Find the mean of the distribution:

Class $1-3$ $3-5$ $5-7$ $7-10$

Frequency $9$ $22$ $27$ $17$

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

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

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

Calculate the mean of the following frequency distribution:

Class $80-90$ $90-100$ $100-110$ $110-120$ $120-130$ $130-140$ $140-150$ $150-160$ $160-170$

Frequency $6$ $18$ $78$ $80$ $100$ $72$ $0$ $40$ $6$
(in $.55$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Marks obtained $(x_{i})$	$10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$
Number of students $(f_{i})$	$1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$