The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings.
Monthly savings(Rs) Number of families 1000−2000122000−3000153000−4000214000−5000275000−600025
800 - 900
Modal class is 4000-5000 with
f1 = 27, f0 = 21, f2 = 25, I = 4000, h = 1000
Mode = l + (f1−f02f1−f0−f2)h
For finding mean , we use Direct method
Mode = 4000 + 68×1000
= 4750
Mean = 3880
We used Direct method to find the mean because the numbers are very easy even though they are large. You could use any of the three methods.
Difference between mode and mean = 4750 – 3880 = 870