The table shows the distribution of marks obtained by some students in a test

Marks 0-9 10-19 20-29 30-39 40-49
Frequency 4 12 16 6 2

What is the upper class boundary of the upper quartile class?

A.

49.5

B.

39.5

C.

29.5

D.

19.5

Correct answer is C

£f = 4 + 12 + 16 + 6 +2 = 40

Upper quartile class

= 3/4 of 40 = 30th position

Counting from the distribution table to the 30th position,

the upper class boundary is 29.5