The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.
A
62
B
63
C
64
D
65
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Third quartile Q3 = \(\frac{3}{4}\)Nth
Alternatively:
Split the score into equal quarters
44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75.
Third quartile Q3 = [63 + 65] / 2 = 64
Source: Myschool Past Questions Archive (Record #45817)