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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	$10-30$	$30-50$	$50-70$	$70-90$	$90-110$
Frequency	$17$	$f_{1}$	$32$	$f_{2}$	$19$

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

Similar Questions

Find the mode of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $6$ $8$ $17$ $24$ $42$ $30$ $15$ $8$

In the usual notations,$Z - M = \ldots \ldots \ldots \quad (M - \bar{x})$

Is it true to say that the mean,mode,and median of grouped data will always be different? Justify your answer.

The mean of the following frequency distribution is $60$ and the total frequency is $120$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $10-30$ $30-50$ $50-70$ $70-90$ $90-110$

Frequency $17$ $f_{1}$ $32$ $f_{2}$ $19$

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times c$ for the median,$cf = \ldots \ldots \ldots$

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