The pie chart above shows the distribution of marks scored by 200 pupils in a test.
(a) How many pupils scored : (i) between 41 and 50 marks? ; (ii) above 80 marks?
(b) What fraction of the pupils scored at most 50 marks?
(c) What is the modal class?
Attached Figure / Diagram
Verified Correct Answer: .
Step-by-Step Mathematical Solution
(a)(i) The number of pupils who scored between 41 and 50 marks = \(\frac{90}{360} \times 200 = 50\)
(ii) The angles for pupils above 60 marks = 54^\circ + 36^\circ + 18^\circ = 108^\circ
\(\frac{108}{360} \times 200 = 60\)
(b) The fraction of the pupils who scored at least 50 marks : \(\frac{54 + 90}{360} = \frac{2}{5}\)
(c) The modal class = 51 - 60; It has the largest angle in the pie- chart.
Source: WAEC / JAMB / NECO Classroom Archive (Record #53466)