(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

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(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
$\Sigma x_{i} f_{i} - n$

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Mix Examples - Statistics

If $Z+M=88$ and $Z-M=2$,then $M=\ldots \ldots \ldots \ldots . .$

Medium

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Find the mean,median and mode of the following frequency distribution:

Class $0-30$ $30-60$ $60-90$ $90-120$ $120-150$ $150-180$

Frequency $8$ $15$ $16$ $20$ $12$ $9$

Medium

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The mean of the following frequency distribution is $28.5$ and the total frequency is $60$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $6$ $f_1$ $20$ $15$ $f_2$ $4$

Medium

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Calculate the mean of the following frequency distribution:

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $12$ $16$ $8$ $6$ $8$

Medium

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The median of the following frequency distribution is $525$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ $600-700$ $700-800$ $800-900$ $900-1000$

Frequency $2$ $5$ $x$ $12$ $17$ $20$ $y$ $9$ $7$ $4$

Difficult

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Class	$0-30$	$30-60$	$60-90$	$90-120$	$120-150$	$150-180$
Frequency	$8$	$15$	$16$	$20$	$12$	$9$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$6$	$f_1$	$20$	$15$	$f_2$	$4$

Class	$0-100$	$100-200$	$200-300$	$300-400$	$400-500$	$500-600$	$600-700$	$700-800$	$800-900$	$900-1000$
Frequency	$2$	$5$	$x$	$12$	$17$	$20$	$y$	$9$	$7$	$4$

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

Similar Questions

If $Z+M=88$ and $Z-M=2$,then $M=\ldots \ldots \ldots \ldots . .$

Find the mean,median and mode of the following frequency distribution: Class $0-30$ $30-60$ $60-90$ $90-120$ $120-150$ $150-180$ Frequency $8$ $15$ $16$ $20$ $12$ $9$

The mean of the following frequency distribution is $28.5$ and the total frequency is $60$. Find the missing frequencies $f_{1}$ and $f_{2}$. Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $6$ $f_1$ $20$ $15$ $f_2$ $4$

Calculate the mean of the following frequency distribution: Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $12$ $16$ $8$ $6$ $8$

The median of the following frequency distribution is $525$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$. Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ $600-700$ $700-800$ $800-900$ $900-1000$ Frequency $2$ $5$ $x$ $12$ $17$ $20$ $y$ $9$ $7$ $4$

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Find the mean,median and mode of the following frequency distribution:

Class $0-30$ $30-60$ $60-90$ $90-120$ $120-150$ $150-180$

Frequency $8$ $15$ $16$ $20$ $12$ $9$

The mean of the following frequency distribution is $28.5$ and the total frequency is $60$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $6$ $f_1$ $20$ $15$ $f_2$ $4$

Calculate the mean of the following frequency distribution:

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $12$ $16$ $8$ $6$ $8$

The median of the following frequency distribution is $525$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ $600-700$ $700-800$ $800-900$ $900-1000$

Frequency $2$ $5$ $x$ $12$ $17$ $20$ $y$ $9$ $7$ $4$