UPSC CDS Math Statistics Questions

We can see in series-II the highest frequency range is 40−50.
Estimated Mode =L+‌

fm−fm1

(fm−fm−1)+(fm−fm+1)

×w
where:
Lis the lower class boundary of the modal group
fm−1 is the frequency of the group before the modal group
fm is the frequency of the modal group
⋅fm+1 is the frequency of the group after the modal group
w is the group width
L=40,fm−1=4,fm=58,fn+1=26,W=10
‌ mode ‌=40+‌

58−4

2×58−4−26

×10
‌‌=40+‌

54

86

×10
‌‌=46.27