(B) The formula for the mean using the assumed mean method is given by $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$,where $\Sigma f_{i} = n

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

(B) The formula for the mean using the assumed mean method is given by $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$,where $\Sigma f_{i} = n$.Given that $\bar{x} = 20$,$A = 20$,and $n = 100$.Substituting these values into the formula: $20 = 20 + \frac{\Sigma f_{i} d_{i}}{100}$.Subtracting $20$ from both sides,we get $0 = \frac{\Sigma f_{i} d_{i}}{100}$.Therefore,$\Sigma f_{i} d_{i} = 0 \times 100 = 0$.

Class 10 Mathematics Statistics Mix Examples - Statistics

Medium

For a given frequency distribution,$n=100, A=20$ and $\bar{x}=20$. Then,$\Sigma f_{i} d_{i}=\ldots \ldots \ldots . .$

A
$20$
B
$0$
C
$-20$
D
$1$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Statistics

Subtopic

Mix Examples - Statistics

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 $20$ $10$ $20$ $30$ $20$

Medium

View Solution

In the formula $\bar{x} = A + \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \times c$,$u_{i} =$ .........

Easy

View Solution

Consider the following distribution:
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 $50$ $42$

The frequency of the class $30-40$ is:

Easy

View Solution

Find the median of the following frequency distribution:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$

Medium

View Solution

The formula to find the mean of an ungrouped data is ........

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

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

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	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$8$	$4$

For a given frequency distribution,$n=100, A=20$ and $\bar{x}=20$. Then,$\Sigma f_{i} d_{i}=\ldots \ldots \ldots . .$

Similar Questions

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 $20$ $10$ $20$ $30$ $20$

In the formula $\bar{x} = A + \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \times c$,$u_{i} =$ .........

Consider the following distribution:Marks obtainedNumber of studentsMore 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$The frequency of the class $30-40$ is:

Find the median of the following frequency distribution: Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$ Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$

The formula to find the mean of an ungrouped data is ........

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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 $20$ $10$ $20$ $30$ $20$

Find the median of the following frequency distribution:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$