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(D) To find the median,we first calculate the cumulative frequency $(cf)$:  ClassFrequency $(f)$Cumulative Frequency $(cf)$  $0-5$$5$$5$  $5-10$$15$$2

Vedclass · Accepted Answer

$11.67$

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(D) To find the median,we first calculate the cumulative frequency $(cf)$:  ClassFrequency $(f)$Cumulative Frequency $(cf)$  $0-5$$5$$5$  $5-10$$15$$20$  $10-15$$15$$35$  $15-20$$8$$43$  $20-25$$4$$47$  $25-30$$2$$49$  $30-35$$1$$50$Total frequency $N = 50$. So,$N/2 = 25$.The cumulative frequency just greater than $25$ is $35$,which corresponds to the class interval $10-15$.Thus,the median class is $10-15$.Here,$l = 10$,$f = 15$,$cf$ (of preceding class) $= 20$,and $h = 5$.Using the median formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$$	ext{Median} = 10 + \left( \frac{25 - 20}{15} ight) 	imes 5$$	ext{Median} = 10 + \left( \frac{5}{15} ight) 	imes 5 = 10 + \frac{25}{15} = 10 + 1.666... = 11.67$.

Income (in $Rs.$)	$1-200$	$201-400$	$401-600$	$601-800$
Number of employees	$14$	$15$	$14$	$7$

Find the median of the following frequency distribution:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$

Similar Questions

The mean of $15$ observations is $25$. Later on,it was found that one observation was taken by mistake as $20$ instead of $50$. Then,the correct mean is:

If $Z+M=88$ and $Z-M=2$,then $M=\ldots \ldots \ldots \ldots . .$

The mean of $5$ observations is $16$. If an observation $5$ is replaced by $-5$,the new mean is ...........

The daily income of a sample of $50$ employees is tabulated as follows:

Income (in $Rs.$) $1-200$ $201-400$ $401-600$ $601-800$

Number of employees $14$ $15$ $14$ $7$

Find the mean daily income of the employees. (in $.5$)

For a given frequency distribution,the frequencies of the first,second,and third class are $8$,$15$,and $18$ respectively. Then,the cumulative frequency of the third class is $\ldots \ldots \ldots \ldots .$

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Find the median of the following frequency distribution: Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$