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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 $B$.

Class	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$	$80-90$
Frequency	$8$	$12$	$27$	$43$	$55$	$37$	$18$

Class	$0-5$	$6-11$	$12-17$	$18-23$	$24-29$
Frequency	$13$	$10$	$15$	$8$	$11$

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

Class	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$	$80-90$
Frequency	$8$	$12$	$27$	$x$	$55$	$37$	$y$

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

Similar Questions

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Frequency $8$ $12$ $27$ $43$ $55$ $37$ $18$

For a given frequency distribution,$\bar{x}=20, \Sigma f_{i} u_{i}=-50, n=100$ and $c=10$. Then,assumed mean $A = \ldots \ldots \ldots \ldots$

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The mode of the following frequency distribution is $64$ and the total frequency is $200.$ Find the missing frequencies $x$ and $y.$

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Frequency $8$ $12$ $27$ $x$ $55$ $37$ $y$

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