Look at the cumulative frequency distribution table given below:

$\begin{matrix} M o n t h l y i n c o m e & N u m b e r o f f a m i l i e s M o r e t h a n R s .10000 & 100 M o r e t h a n R s .14000 & 85 M o r e t h a n R s .18000 & 69 M o r e t h a n R s .20000 & 50 M o r e t h a n R s .25000 & 37 M o r e t h a n R s .30000 & 15 \end{matrix}$

Number of families having income range 20000 to 25000 is

(a) 19 (b) 16 (c) 13 (d) 22

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Solution

Income
Cumulative frequency
Frequency

Above 30000 15 15

25000-30000 37 37-15=22

25000-20000 50 50-37=13

20000-18000 69 69-50=19

18000-14000 85 85-69=16

14000-10000 100 100-85=15

The number of families having income range $20000$ to $25000$ is $13$ .
Hence, the correct answer is option $(C)$

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Similar questions

Q. In the following distribution :

Monthly income range (in Rs.)	Number of families
Income more than Rs. $10000$	$100$
Income more than Rs. $13000$	$85$
Income more than Rs. $16000$	$69$
Income more than Rs. $19000$	$50$
Income more than Rs. $22000$	$33$
Income more than Rs. $25000$	$15$

The numbers of families having income range (in Rs)

16000 - 19000

is:

Q. Complete the following Cumulative Frequency Table :

Class (Monthly income in Rs.)	Frequency (No. of individuals)	More than or equal to type cumulative frequency
1000-5000	45	...........
5000-10000	19	..........
10000-15000	16	..........
15000-20000	02	.........
20000-25000	05	.........
	Total N = 87

Following information pertains to the daily income of 150 families. Calculate the arithmetic mean.

Income (in Rs)	Number of families
More than 75	150
More than 85	140
More than 95	115
More than 105	95
More than 115	70
More than 125	60
More than 135	40
More than 145	25

An organisation selected 2400 families at random and surveyed them to determine a relationship between the income level and the number of vehicles in a family. The information gathered is listed in the table below:

Suppose a family is chosen at random. Find the probability that the family chosen is

(i) earning Rs 25000 - Rs 30000 per month and owning exactly 2 vehicles.

(ii) earning Rs 40000 or more per month and owning exactly 1 vehicle.

(iii) earning less than Rs 25000 per month and not owning any vehicle.

(iv) earning Rs 35000 - Rs 40000 per month and owning 2 or more vehicles.

(v) owning not more than 1 vehicle.

Q. Calculate the mode from the following data:

Monthly salary (in Rs)	No. of employees
0-5000	90
5000-1000	150
10000-15000	100
15000-20000	80
20000-25000	70
25000-30000	10

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Income	Cumulative frequency	Frequency
Above 30000	15	15
25000-30000	37	37-15=22
25000-20000	50	50-37=13
20000-18000	69	69-50=19
18000-14000	85	85-69=16
14000-10000	100	100-85=15

Income Cumulative frequency Frequency Above 30000 15 15 25000-30000 37 37-15=22 25000-20000 50 50-37=13 20000-18000 69 69-50=19 18000-14000 85 85-69=16 14000-10000 100 100-85=15 The number of families having income range 20000 to 25000 is 13.Hence, the correct answer is option (C)

Income
Cumulative frequency
Frequency

Above 30000 15 15

25000-30000 37 37-15=22

25000-20000 50 50-37=13

20000-18000 69 69-50=19

18000-14000 85 85-69=16

14000-10000 100 100-85=15

The number of families having income range $20000$ to $25000$ is $13$ .
Hence, the correct answer is option $(C)$