The table below shows the salaries of 280 persons:
Salary (in thousand Rs.)
No. of persons
5-10
49
10-15
133
15-20
63
20-25
15
25-30
6
30-35
7
35-40
4
40-45
2
45-50
1

Calculate the median of the salary of the data

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Rs.15000

Rs.13420

Rs.10790

Rs.12100

answer is B.

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Detailed Solution

We will now construct a cumulative frequency table for the given data.

Salary (in thousand Rs.)	No. of persons	Cumulative frequency
5-10	49	49
10-15	133	49 + 133 = 182
15-20	63	182 + 63 = 245
20-25	15	245 + 15 = 260
25-30	6	260 + 6 = 266
30-35	7	266 + 7 = 273
35-40	4	273 + 4 = 277
40-45	2	277 + 2 = 279
45-50	1	279 + 1 = 280

Total no. of persons (N) = 280, which is even
So, we will find the average of

and

th observation.

This lies in the class (10 − 15). Hence, the median class is (10 − 15).
Median Question Image

Where, l = lower limit of median class
    n = total no. of observation
    c.f = cumulative frequency of
    f = frequency of median class
    h = class size
Question Image