Question

The following table gives the distribution of the wages of 65 employees in a factory.

Wages (in ₹ )	:	50	60	70	80	90	100	110	120
(Equal to more than) Number of employees	:	65	57	47	31	17	7	2	0

Draw a 'less than' curve from the above data and estimate the number of employees earning atleast ₹ 63 but less than ₹ 75.

Answer 1

Class Interval	More than Cumulative Frequency	Frequency	Wages	Less than Cumulative Frequency
50$-$60 60$-$70 70$-$80 80$-$90 90$-$100 100$-$110 110$-$120 120$-$130	65 57 47 31 17 7 2 0	65$-$57= 8 57$-$47=10 47$-$31=16 31$-$17=14 17$-$7= 10 7$-$2=5 2$-$0=2 0	Less than 60 Less than 70 Less than 80 Less than 90 Less than 100 Less than 110 Less than 120 Less than 130	8 18 34 48 58 63 65 65

Number of employees earning Rs 75 = 24
Number of employees earning atleast Rs 63 = 10
Number of employees earning between Rs 63 and Rs 75 = 24 $-$10 =14

Therefore, 14 employees are earning between Rs 63 and Rs 75.