Name: Collection of Data
Uploaded: 2019-07-19
Duration: 3 min 17 s
Description: Free-to-use sites such as social media sites collect the user data to make their products better. Where else do we see the collection of data in our daily li...

Question

The following is the survey report of the weekly income of the families of a ward of a municipality:

Income in Rupees	Number of families
$80$ and above	$12050$
$150$ and above	$10475$
$180$ and above	$8290$
$250$ and above	$6470$
$370$ and above	$4260$
$500$ and above	$2270$
$750$ and above	$1180$
$1000$ and above	$560$
$1500$ and above	$320$
$2000$ and above	$150$
$2500$ and above	$75$
$3000$ and above	$50$
$3500$ and above	$24$
$4000$ and above	$12$
$4500$ and above	$6$

From the above data construct a continuos frequency table and also find the cumulative frequency of each class. Further find the number of families whose weekly income is at the most $₹ 1000$ .

Accepted Answer

Given: Frequency distribution table is the more than cumulative frequency distribution table.

The continuos frequency distribution table as follows:

Income in rupees Number of families

$0 - 80$ $1575$

$80 - 150$ $2185$

$150 - 180$ $1820$

$180 - 250$ $2210$

$250 - 370$ $1990$

$370 - 500$ $1090$

$500 - 750$ $620$

$750 - 1000$ $240$

$1000 - 1500$ $170$

$1500 - 2000$ $75$

$2000 - 2500$ $25$

$2500 - 3000$ $26$

$3000 - 3500$ $1180$

$1000$ $6$

$4000 - 4500$ $6$

The income of families at most $₹ 1000$ is the number of families less than $1000$ .
$0 - 80 : 1575$
$80 - 150 : 2185$
$150 - 180 : 1820$
$180 - 250 : 2210$
$250 - 370 : 1990$
$370 - 500 : 1090$
$500 - 750 : 620$
$750 - 1000 : 240$

So, sum of families whose income is at most $₹ 1000$ is $1575 + 2185 + 1820 + 2210 + 1990 + 1090 + 620 + 240 = 11730$ .

Therefore, number of families, whose income at most $₹ 1000$ is $11730$ .

Age group	Number of people
$10 - 15$	$6$
$15 - 20$	$5$
$20 - 25$	$3$
$25 - 30$	$6$
$30 - 35$	$4$
$35 - 40$	$7$
$40 - 45$	$5$
$45 - 50$	$2$

Monthly expenditure	No.of people
$501 - 750$	$75$
$751 - 1000$	$125$
$1001 - 1250$	$200$
$1251 - 1500$	$150$
$1501 - 1750$	$230$
$1751 - 2000$	$180$
$2001 - 2250$	$120$
$2251 - 2500$	$60$
$2501 - 3000$	$55$

Age group	Number of people.
$15 - 25$	$25$
$26 - 35$	$30$
$36 - 40$	$27$
$41 - 50$	$18$
$51 - 55$	$47$
$56 - 60$	$20$
$61 - 75$	$6$
$76 - 90$	$2$

Marks	Number of students.
$0 - 10$	$6$
$10 - 20$	$14$
$20 - 30$	$25$
$30 - 40$	$35$
$40 - 50$	$46$
$50 - 60$	$51$
$60 - 70$	$32$
$70 - 80$	$24$
$80 - 90$	$7$
$90 - 100$	$2$

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