Question

Chapter 5 • Measures of Central Tendency | 171

Calculate the median annual income of a group of employees from
the data given below:
5.
Annual income in Rs.
Under 2000
No. of Employees
15
2000 - 2999
32
3000 - 3999
65
4000 - 4999
79
5000 - 5999
90
6000 - 6999
57
7000 - 7999
36
8000 - 8999
14
nd the median wage of a labour from the following table​

Answer 1

Answer: Rs. 5,033.30

Explanation:

Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388

Median position = 388/2 = 194

Median therefore lies in range where cumulative employees is 194:

= 15 + 32 + 65 + 79 = 191

Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.

Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range

= 5,000 + 999 * (388/2 - 191)/90

= 5,000 + 33.3

= Rs. 5,033.30