Question

Find the median of the following data: no. of goals -- 0 1 2 3 4 5 no. of matches -- 2 4 7 6 5 2

Answer 1

   CI             fi         CF
   0-1            2          2
   1-2            4          6 CF
L 2-3            7 F      13
   3-4            6         19
   4-5            5         24
   5-6            2         26
So, to calculate median we have to first calculate CF cumulative Frequency and it is calculated by first value of fi should be written the same in the CF column as it is then add the fist value of CF to second value of fi you will get the second value of CF just do it in the same way and you will get the whole column of CF after getting value take the biggest value of fi mark it as F and the CI of the same mark as L and the value above the line in CF column mark it as CF. N it is the total value of fi. After getting N just divide it by 2 you will get N/2. Here, N/2 is 13. h is the gap it means tha from 0-1 the gap is 1.So h is 1 here. Then apply the median formula which is
Median = L+(N/2-CF/F).h
=2+(13-6/7).1
=2+(7/7).1
=2+1.1
=2+1
=3
So, median is three.