Question

calculate the median for the following data 5-10,10-15,15-20,20-25,25-30,30-35,35-40,40-45. 5,6,15,16,5,4,2,2

Answer 1

class. frequency. cumulative frequency

5-10 5 5

10-15 6 11

15-20 15 26

20-25 16 42

25-30 5 47

30-35 4 51

35-40 2 53

40-45 2 55

Total- 55

N=55

N/2 = 55/2 =27.5

class corresponding to 26 is 15-20

m=L+ (N/2-F)/f

$m = l +{{(( \frac{n}{2} - f) \div fm}} )\: c$

m= 15+[(27.5-11)/26] 5

=15+(16.5/26) 5

=15+0.635×5

=15+3.175

=18.175