In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?

In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?

A.

14%

B.

40%

C.

46\(\frac{3}{4}\)%

D.

53\(\frac{1}{3}\)%

Correct answer is C

This histogram is transferred into this frequency table
\(\begin{array}{c|c} Marks & 20 & 40 & 60 & 80 & 100 \\ \hline students & 9 & 7 & 6 & 6 & 2\end{array}\)

Students who scored more than 40 = 6 + 6 + 2 = 14

i.e. \(\frac{14}{30}\) x 100% = 46\(\frac{3}{4}\)%