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 salary of the data.

Answer

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

Here, N = 280

N/2 = 280/2 = 140

It is less than 182, hence consider 182 cumulative frequency for the median class.

Median class = 10-15

C = 49. f = 133, l = 10, h = (15 - 10) = 5

Now use the formula,

 

Median = 10 + (140 - 49)/133 × 5

= 10 + 91 × 5/133

= 13.42

Median salary is Rs.13.42 thousand or Rs.13420.

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