Question
Calculate the median of the following distribution of salaries of a employees of a firm.
|
Income (in Rs.) |
No. of Persons |
|
400-500 500-600 600-700 700-800 800-900 900-1000 1000-1100 |
25 69 107 170 201 142 64 |
Solution
|
ncome (Rs.) |
No. of Persons (f) |
c.f |
|
400-500 500-600 600-700 700-800 800-900 900-1000 1000-1100 |
25 69 107 170 201 142 64 |
25 94 201 371 572 714 778 |
11 = Lower limit of median group.
c.f. = Cumulative frequency of the class preceding the median class.
f = Frequency of the median group,
c = The class interval of the median group
Calculation of Median :
Median lies in the group 800 - 900. Applying the formula we get,
Hence Median Income = 800.89.
