Question

The monthly income of a group of 320 employees in a company is given below:

Monthly income	6000-7000	7000-8000	8000-9000	9000-10000	10000-11000	11000-12000	12000-13000
No of employees	20	45	65	95	60	30	5

Calculate:

(i) Median wage

(ii) Number of employees whose income is below Rs. 8500

(iii) Number of senior employees in the company

(iv) Upper quartile

[4 MARKS]

Answer 1

Each Part: 1 Mark


i) Median wage $={\frac{n}{2}}^{th}term==\frac{{320}^{th}}{2}term={160}^{th}term=Rs.9300$

ii) The number of employees whose income is below Rs. 8500 = 90

iii) Number of senior employees in the company = 320 - 300 = 20

iv) Upper quartile $=\frac{3n^{th}}{4}term=\frac{3\times {320}^{th}}{4}term={240}^{th}term=Rs.10,300$