(B) The formula for the mean using the step-deviation method is $\bar{x} = A + \left( \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \right) \times c$.Given

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(B) The formula for the mean using the step-deviation method is $\bar{x} = A + \left( \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \right) \times c$.Given values are $A = 200$,$\Sigma f_{i} = 45$,$\Sigma f_{i} u_{i} = -216$,and $c = 10$.Substituting these values into the formula:$\bar{x} = 200 + \left( \frac{-216}{45} \right) \times 10$$\bar{x} = 200 + \left( \frac{-2160}{45} \right)$$\bar{x} = 200 - 48$$\bar{x} = 152$.

Class 10 Mathematics Statistics Mix Examples - Statistics

Easy

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

A
$224$
B
$152$
C
$176$
D
$191$

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Class 10

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Mix Examples - Statistics

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 $.55$)

Class	$80-90$	$90-100$	$100-110$	$110-120$	$120-130$	$130-140$	$140-150$	$150-160$	$160-170$
Frequency	$6$	$18$	$78$	$80$	$100$	$72$	$0$	$40$	$6$

Medium

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

Easy

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For a given frequency distribution,$n=200$,$\Sigma f_{i} d_{i}=0$ and $A=25$. Then,$\bar{x}=\ldots \ldots \ldots \ldots$

Easy

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Find the mean of the following data by all the three methods:

Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$

Frequency $10$ $18$ $7$ $6$ $5$ $4$

Medium

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Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:

Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$

Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.

Medium

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Class	$50-70$	$70-90$	$90-110$	$110-130$	$130-150$	$150-170$
Frequency	$10$	$18$	$7$	$6$	$5$	$4$

Marks	Below $20$	Below $40$	Below $60$	Below $80$	Below $100$
Number of students	$17$	$22$	$29$	$37$	$50$

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

Similar Questions

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 $.55$)

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

For a given frequency distribution,$n=200$,$\Sigma f_{i} d_{i}=0$ and $A=25$. Then,$\bar{x}=\ldots \ldots \ldots \ldots$

Find the mean of the following data by all the three methods: Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$ Frequency $10$ $18$ $7$ $6$ $5$ $4$

Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class: Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$ Number of students $17$ $22$ $29$ $37$ $50$ Form the frequency distribution table for the data.

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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 $.55$)

Find the mean of the following data by all the three methods:

Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$

Frequency $10$ $18$ $7$ $6$ $5$ $4$

Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:

Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$

Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.