WAEC 2019 Mathematics · Question 49

The following are scores obtained by some students in a test, Find the mode of the distribution 8 18 10 14 18 11 13 14 13 17 15 8 16 13

Options

A.18
B.14
C.13
D.8

Answer: C. 13

Explanation written with AI and checked against the answer key

Analyze the question: The mode is the value that appears most often in a data set. We need to count how many times each score occurs. Concept: Mode = the score with the highest frequency. (A data set can have more than one mode if scores tie for the highest frequency.) Solution: The scores are: 8, 18, 10, 14, 18, 11, 13, 14, 13, 17, 15, 8, 16, 13 Tally each score: | Score | Frequency | |-------|-----------| | 8 | 2 | | 10 | 1 | | 11 | 1 | | 13 | 3 | | 14 | 2 | | 15 | 1 | | 16 | 1 | | 17 | 1 | | 18 | 2 | Total = 2+1+1+3+2+1+1+1+2 = 14 scores, which matches the 14 numbers in the list. The highest frequency is 3, and it belongs to the score 13. Answer: The mode is 13, which is option C. Tip: In mode questions, sort the numbers first or tally them as you go. This stops you from missing a repeated value. Also be careful with options like 18, 14, and 8: they appear twice each, which makes them tempting, but 13 appears three times.

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