Question

Use the data in Table 3.2 that relate to monthly household expenditure (in Rs) on food of 50 households and

(i) Obtain the range of monthly household expenditure on food.

(ii) Divide the range into appropriate number of class intervals and obtain the frequency distribution of expenditure.

(ii) Find the number of households whose monthly expenditure on food is

(a) less than Rs 2000
(b) more than Rs 3000
(c) between Rs 1500 and Rs 2500

Answer 1

(i) Calculation of Range

Range = Highest Value – Lowest Value

Highest Value = 5090

Lowest Value = 1007

So, Range = 5090 – 1007 = 4083

(ii) Preparing Tally Marks

Class Intervals	Tally Marks	Frequency
1000 – 1500		20
1500 – 2000		13
2000 – 2500		06
2500 – 3000		05
3000 – 3500		02
3500 – 4000		01
4000 – 4500		02
4500 – 5000	–	00
5000 – 5500		01
Total		50

(iii) a) Number of households whose monthly expenditure on food is less than Rs 2000

= 20 + 13 = 33

b) Number of households whose monthly expenditure on food is more than Rs 3000

= 2 + 1 + 2 + 0 + 1 = 6

c) Number of households whose monthly expenditure on food is between Rs 1500 and Rs 2500

= 13 + 6 = 19