UPSC NDA Math Model Paper 1

For the given set of observations: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4:
N = 10.
Mode = 4.
Median = Mean of

10

2

=5th and

10

2

+1=6th observations =

3+3

2

=3.
Mean =

1+2+2+3+3+3+4+4+4+4

10

=

30

10

=3.
∴ Mean ≤ Median ≤ Mode is the correct option.