Find the median of the following frequency di | vedclass

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(C) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$0-10$$2$$2$$10-20$$6$$8$$20-

Vedclass · Accepted Answer

$49$

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(C) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$0-10$$2$$2$$10-20$$6$$8$$20-30$$8$$16$$30-40$$16$$32$$40-50$$20$$52$$50-60$$18$$70$$60-70$$16$$86$$70-80$$14$$100$Total frequency $N = 100$. So,$N/2 = 50$.The cumulative frequency just greater than $50$ is $52$,which corresponds to the class interval $40-50$.Thus,the median class is $40-50$.Here,$l = 40$,$f = 20$,$cf = 32$,and $h = 10$.Using the median formula: $	ext{Median} = l + \left( \frac{N/2 - cf}{f} ight) 	imes h$$	ext{Median} = 40 + \left( \frac{50 - 32}{20} ight) 	imes 10$$	ext{Median} = 40 + \left( \frac{18}{20} ight) 	imes 10 = 40 + 9 = 49$.

Marks	Number of students
Below $10$	$10$
Below $20$	$50$
Below $30$	$130$
Below $40$	$270$
Below $50$	$440$
Below $60$	$570$
Below $70$	$670$
Below $80$	$740$
Below $90$	$780$
Below $100$	$800$

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

Find the median of the following frequency distribution:

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

Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$

Similar Questions

For some given data,if $Z - M = 2$ and $\bar{x} = 33.5$,then $Z = \ldots \ldots \ldots$ (in $.5$)

If mode $= 25$ and mean $= 19,$ then median $= \dots$

For a given frequency distribution,$\bar{x}=54.3, \Sigma f_{i} u_{i}=2, n=25$ and $c=10$. Then the assumed mean $A = \dots$

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:

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Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$16$	$20$	$18$	$16$	$14$

Find the median of the following frequency distribution: Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$