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(B) The cumulative frequency distribution is a statistical tool used to determine the median of a dataset. To calculate the median,we first find the c

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median

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(B) The cumulative frequency distribution is a statistical tool used to determine the median of a dataset. To calculate the median,we first find the cumulative frequencies of the given data. Then,we identify the median class by finding the value $N/2$,where $N$ is the total frequency. The median is then calculated using the formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$,where $cf$ is the cumulative frequency of the class preceding the median class. Therefore,the correct option is $B$.

Marks	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$
Frequency	$14$	$16$	$18$	$23$	$18$	$8$	$3$

Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$7$	$4$

Daily wages (in $Rs.$)	Number of workers
$100-120$	$10$
$120-140$	$15$
$140-160$	$20$
$160-180$	$22$
$180-200$	$18$
$200-220$	$12$
$220-240$	$13$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$12$	$18$	$20$	$17$	$13$

Cumulative frequency distribution is used to calculate the $\ldots \ldots \ldots$ of a frequency distribution.

Similar Questions

The percentage of marks obtained by $100$ students in an examination are given below:

Marks $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$

Frequency $14$ $16$ $18$ $23$ $18$ $8$ $3$

Determine the median percentage of marks.

The mean and median of a frequency distribution are $72.5$ and $73.9$ respectively. Then,the mode of the data is $\ldots \ldots \ldots . . .$

Consider the data:

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

Frequency $4$ $5$ $13$ $20$ $14$ $7$ $4$

The difference between the upper limit of the median class and the lower limit of the modal class is:

Daily wages of $110$ workers,obtained in a survey,are tabulated below:

Daily wages (in $Rs.$) Number of workers

$100-120$ $10$

$120-140$ $15$

$140-160$ $20$

$160-180$ $22$

$180-200$ $18$

$200-220$ $12$

$220-240$ $13$

Compute the mean daily wages of these workers (in $Rs.$).

For the following data,the median class is $\ldots \ldots \ldots$

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

Frequency $12$ $18$ $20$ $17$ $13$

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