Consider the data: Class 65-85 85-10 | vedclass

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Question

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

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(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) = $145 - 125 = 20$.

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
No. of students	$20$	$10$	$20$	$30$	$20$

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

Calculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test:

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

No. of students $20$ $10$ $20$ $30$ $20$

For a given frequency distribution,$A = 450, c = 100, \Sigma f_{i} u_{i} = -20$ and $\Sigma f_{i} = 20$. Then,the mean $\bar{x} = \ldots$

For a given frequency distribution,$n=100$ and $\Sigma f_{i} x_{i}=245$. Then,$\bar{x}=\ldots \ldots \ldots \ldots$

$\frac{Z-M}{M-\bar{x}}=\ldots \ldots \ldots \ldots$

In the formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$,$d_{i} =$ .........

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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: