Answer the given question with proper steps.

Dear Student,

To solve this question , we first need to create a cumulative frequency table.
 
Salary  No.of persons Cumulative frequency
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


Now, the formula for finding the median is:


Median = xl + N2-Flfm × cxl = Lower class boundary of the median classN = Total frequencyFl = Less than type cumulative frequency corresponding to the xlfm =frequency of the median classc = Class widthFrom the given data, we first need to select the median class.N = 280N2 = 2802 = 140The cumulative frequency more than 140 is 182, corresponding to class 10-15.Thus, the salary range 10-15 is the median class.Thus,xl = 10N = 280Fl = less than type c.f corresponding to lower boundary 10 = 49fm = 133c = 5So, Median = xl + N2-Flfm × c = 10 + 140 - 49133×5 = 13.42

Thus, the median salary is 13.42 thousand.

Hope it helps.

Regards

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