(A) The given formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ is the Assumed Mean Method for calculating the mean of grouped data.In t

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

(A) The given formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ is the Assumed Mean Method for calculating the mean of grouped data.In this formula,$A$ represents the assumed mean.$x_{i}$ represents the class mark (midpoint) of the $i^{th}$ class interval.$d_{i}$ is the deviation of the class mark from the assumed mean,which is defined as $d_{i} = x_{i} - A$.Therefore,the correct option is $A$.

Class 10 Mathematics Statistics Mix Examples - Statistics

Easy

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

A
$x_{i} - A$
B
$\bar{x} - A$
C
$\Sigma x_{i} - A$
D
$\Sigma x_{i} f_{i} - n$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Statistics

Subtopic

Mix Examples - Statistics

Find the mode of the following frequency distribution:

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$

Frequency $8$ $9$ $26$ $23$ $20$ $14$

Medium

View Solution

The mean of the following frequency distribution is $43.75$. Find the missing frequency $f$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$
Frequency $8$ $4$ $20$ $45$ $64$ $32$ $f$ $8$ $2$ $2$

Medium

View Solution

The frequency distribution table of agricultural holdings in a village is given below:

Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$

Number of families $20$ $45$ $80$ $55$ $40$ $12$

Find the modal agricultural holdings of the village (in hectares).

Medium

View Solution

The mean of the following data is $55.5$ and the total frequency is $20$. Find the missing frequencies $x$ and $y$.
Class $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
Frequency $3$ $x$ $7$ $7$ $y$

Medium

View Solution

For a given frequency distribution,$A=325, c=50, \Sigma f_{i} u_{i}=28$ and $\Sigma f_{i}=200$. Then,mean $\bar{x}=\ldots \ldots \ldots . .$

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

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$8$	$9$	$26$	$23$	$20$	$14$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$	$80-90$	$90-100$
Frequency	$8$	$4$	$20$	$45$	$64$	$32$	$f$	$8$	$2$	$2$

Area of land (in hectares)	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$	$11-13$
Number of families	$20$	$45$	$80$	$55$	$40$	$12$

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

Similar Questions

Find the mode of the following frequency distribution: Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$ Frequency $8$ $9$ $26$ $23$ $20$ $14$

The mean of the following frequency distribution is $43.75$. Find the missing frequency $f$.Class$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$$60-70$$70-80$$80-90$$90-100$Frequency$8$$4$$20$$45$$64$$32$$f$$8$$2$$2$

The frequency distribution table of agricultural holdings in a village is given below: Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$ Number of families $20$ $45$ $80$ $55$ $40$ $12$ Find the modal agricultural holdings of the village (in hectares).

The mean of the following data is $55.5$ and the total frequency is $20$. Find the missing frequencies $x$ and $y$.Class$30-40$$40-50$$50-60$$60-70$$70-80$Frequency$3$$x$$7$$7$$y$

For a given frequency distribution,$A=325, c=50, \Sigma f_{i} u_{i}=28$ and $\Sigma f_{i}=200$. Then,mean $\bar{x}=\ldots \ldots \ldots . .$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the mode of the following frequency distribution:

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$

Frequency $8$ $9$ $26$ $23$ $20$ $14$

The mean of the following frequency distribution is $43.75$. Find the missing frequency $f$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$
Frequency $8$ $4$ $20$ $45$ $64$ $32$ $f$ $8$ $2$ $2$

The frequency distribution table of agricultural holdings in a village is given below:

Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$

Number of families $20$ $45$ $80$ $55$ $40$ $12$

Find the modal agricultural holdings of the village (in hectares).

The mean of the following data is $55.5$ and the total frequency is $20$. Find the missing frequencies $x$ and $y$.
Class $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
Frequency $3$ $x$ $7$ $7$ $y$