(B) The median of grouped data is calculated using the formula: $M = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$ Where: $l$ = lower limit

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$M = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$

(B) The median of grouped data is calculated using the formula: $M = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$ Where: $l$ = lower limit of the median class $n$ = total number of observations $cf$ = cumulative frequency of the class preceding the median class $f$ = frequency of the median class $h$ = class size (width of the class interval).

Class 10 Mathematics Statistics Mix Examples - Statistics

Easy

The formula to find the median of a grouped data is $\ldots \ldots \ldots \ldots .$

A
$M = 3Z - 2\bar{x}$
B
$M = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$
C
$M = l + \left( \frac{\frac{n}{2} - cf}{f_1 - f_2} \right) \times h$
D
$M = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right) \times h$

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Class 10

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Mix Examples - Statistics

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

Easy

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For some given data, if $M = 15.4$ and $\bar{x} = 14.5$, then $Z = \dots$

Easy

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Calculate the mean of the scores of $20$ students in a mathematics test:

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

Number of students $2$ $4$ $7$ $6$ $1$

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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The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

Easy

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Marks	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Number of students	$2$	$4$	$7$	$6$	$1$

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

The formula to find the median of a grouped data is $\ldots \ldots \ldots \ldots .$

Similar Questions

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

For some given data, if $M = 15.4$ and $\bar{x} = 14.5$, then $Z = \dots$

Calculate the mean of the scores of $20$ students in a mathematics test: Marks $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Number of students $2$ $4$ $7$ $6$ $1$

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

The median class of the following frequency distribution is ...........Class$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$Frequency$4$$5$$9$$10$$14$$8$Total frequency $n = 50$.

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Calculate the mean of the scores of $20$ students in a mathematics test:

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

Number of students $2$ $4$ $7$ $6$ $1$

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

The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.