Question

2(b) The table below shows the scores of students in a test.
Scores: 21, 22, 23, 24, 25
No. of students: 3, 2, 1, 4, 5
(i) What is the modal score?
(ii) How many students took part in the test?
(iii) Find the median score.

Accepted Answer

(i) The modal score is the score with the highest frequency. 25 has the highest frequency (5), so the mode is 25.
(ii) Number of students = 3 + 2 + 1 + 4 + 5 = 15
(iii) With 15 students the median is the 8th score when arranged in order.
Cumulative frequency: 21 → 3, 22 → 5, 23 → 6, 24 → 10, 25 → 15.
The 8th score falls in the 24 group, so the median score is 24.

BECE Mathematics 2022 Theory — Question 4

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