Weekly income of 600 families is tabulated be | vedclass

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(B) First,we construct a cumulative frequency table:						Weekly income (in $Rs.$)			Number of families $(f_i)$			Cumulative frequency $(cf)$							$0

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$1263.15$

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(B) First,we construct a cumulative frequency table:						Weekly income (in $Rs.$)			Number of families $(f_i)$			Cumulative frequency $(cf)$							$0-1000$			$250$			$250$							$1000-2000$			$190$			$440$							$2000-3000$			$100$			$540$							$3000-4000$			$40$			$580$							$4000-5000$			$15$			$595$							$5000-6000$			$5$			$600$			Given $n = 600$,we find $\frac{n}{2} = \frac{600}{2} = 300$.The cumulative frequency just greater than $300$ is $440$,which corresponds to the median class $1000-2000$.Here,lower limit $l = 1000$,frequency $f = 190$,cumulative frequency of the preceding class $cf = 250$,and class size $h = 1000$.Using the median formula:$	ext{Median} = l + \left( \frac{\frac{n}{2} - cf}{f} ight) 	imes h$$= 1000 + \left( \frac{300 - 250}{190} ight) 	imes 1000$$= 1000 + \left( \frac{50}{190} ight) 	imes 1000$$= 1000 + \frac{5000}{19}$$= 1000 + 263.157... \approx 1263.16$Rounding to two decimal places,the median income is $Rs. 1263.15$.

Class interval	Frequency
$0-10$	$5$
$10-20$	$x$
$20-30$	$20$
$30-40$	$15$
$40-50$	$y$
$50-60$	$5$
Total	$60$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

Life time (in hours)	Number of lamps
$1500-2000$	$14$
$2000-2500$	$56$
$2500-3000$	$60$
$3000-3500$	$86$
$3500-4000$	$74$
$4000-4500$	$62$
$4500-5000$	$48$

Weight (in kg)	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$	$65-70$	$70-75$
Number of students	$2$	$3$	$8$	$6$	$6$	$3$	$2$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$6$	$10$	$5$	$6$	$4$	$2$	$2$

Weekly income of $600$ families is tabulated below:

Weekly income Number of families

$0-1000$ $250$

$1000-2000$ $190$

$2000-3000$ $100$

$3000-4000$ $40$

$4000-5000$ $15$

$5000-6000$ $5$

Total $600$

Compute the median income (in $Rs.$).

Similar Questions

If the median of the distribution given below is $28.5,$ find the values of $x$ and $y$.
Class interval Frequency
$0-10$ $5$
$10-20$ $x$
$20-30$ $20$
$30-40$ $15$
$40-50$ $y$
$50-60$ $5$
Total $60$

The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

The following table gives the distribution of the lifetime of $400$ neon lamps:
Life time (in hours) Number of lamps
$1500-2000$ $14$
$2000-2500$ $56$
$2500-3000$ $60$
$3000-3500$ $86$
$3500-4000$ $74$
$4000-4500$ $62$
$4500-5000$ $48$

Find the median lifetime of a lamp.

The distribution below gives the weights of $30$ students of a class. Find the median weight of the students.
Weight (in kg) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$
Number of students $2$ $3$ $8$ $6$ $6$ $3$ $2$

The median class of the following frequency distribution is ...........
Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
Frequency $6$ $10$ $5$ $6$ $4$ $2$ $2$

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Weekly income	Number of families
$0-1000$	$250$
$1000-2000$	$190$
$2000-3000$	$100$
$3000-4000$	$40$
$4000-5000$	$15$
$5000-6000$	$5$
Total	$600$

Weekly income of $600$ families is tabulated below: Weekly income Number of families $0-1000$ $250$ $1000-2000$ $190$ $2000-3000$ $100$ $3000-4000$ $40$ $4000-5000$ $15$ $5000-6000$ $5$ Total $600$ Compute the median income (in $Rs.$).

Similar Questions

If the median of the distribution given below is $28.5,$ find the values of $x$ and $y$.Class intervalFrequency$0-10$$5$$10-20$$x$$20-30$$20$$30-40$$15$$40-50$$y$$50-60$$5$Total$60$

The median class of the following frequency distribution is ...........Class$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$Frequency$4$$5$$9$$10$$14$$8$Total frequency $n = 50$.

The following table gives the distribution of the lifetime of $400$ neon lamps:Life time (in hours)Number of lamps$1500-2000$$14$$2000-2500$$56$$2500-3000$$60$$3000-3500$$86$$3500-4000$$74$$4000-4500$$62$$4500-5000$$48$Find the median lifetime of a lamp.

The distribution below gives the weights of $30$ students of a class. Find the median weight of the students.Weight (in kg)$40-45$$45-50$$50-55$$55-60$$60-65$$65-70$$70-75$Number of students$2$$3$$8$$6$$6$$3$$2$

The median class of the following frequency distribution is ...........Class$10-20$$20-30$$30-40$$40-50$$50-60$$60-70$$70-80$Frequency$6$$10$$5$$6$$4$$2$$2$