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(C) To find the median class and modal class,we first calculate the cumulative frequency $(cf)$:						Class			Frequency $(f)$			Cumulative Frequency $

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$20$

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(C) To find the median class and modal class,we first calculate the cumulative frequency $(cf)$:						Class			Frequency $(f)$			Cumulative Frequency $(cf)$							$65-85$			$4$			$4$							$85-105$			$5$			$9$							$105-125$			$13$			$22$							$125-145$			$20$			$42$							$145-165$			$14$			$56$							$165-185$			$7$			$63$							$185-205$			$4$			$67$			Total frequency $N = 67$. Thus,$\frac{N}{2} = \frac{67}{2} = 33.5$.The cumulative frequency just greater than $33.5$ is $42$,which corresponds to the class interval $125-145$. Therefore,the median class is $125-145$. The upper limit of the median class is $145$.The highest frequency is $20$,which corresponds to the class interval $125-145$. Therefore,the modal class is $125-145$. The lower limit of the modal class is $125$.Required difference = (Upper limit of median class) - (Lower limit of modal class) = $145 - 125 = 20$.

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

Age (years)	$30$	$40$	$50$	$60$	$70$	$80$
Cumulative Frequency	$100$	$220$	$350$	$750$	$950$	$1000$

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:

Similar Questions

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

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

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Find the mode of the following frequency distribution:

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The following is the cumulative frequency distribution (of less than type) of $1000$ persons each of age $20$ $years$ and above. Determine the mean age.

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Cumulative Frequency $100$ $220$ $350$ $750$ $950$ $1000$

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

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: