NECO 2007 Economics · Question 33

Find the arithmetic mean of the following set of scores 12, 4, 2, 8, and 14

Options

A.8
B.10
C.12
D.14
E.30

Answer: A. 8

Explanation written with AI and checked against the answer key

Analyze the question: You are asked for the arithmetic mean (the average) of five scores: 12, 4, 2, 8 and 14. Concept: The arithmetic mean is the sum of all the scores divided by the number of scores. Mean = (Sum of scores) ÷ (Number of scores) Solution: Step 1: Add the scores. 12 + 4 + 2 + 8 + 14 = 40 Step 2: Count the scores. There are 5. Step 3: Divide. Mean = 40 ÷ 5 = 8 Check against the options: The mean is 8, which matches option A. Option E (30) is a trap. It does not match any sensible calculation here, and the total is 40, not 30. Tip: Do the addition carefully first, because most mistakes in mean questions come from a wrong total. Then do a quick sense check: the mean must lie between the smallest score (2) and the largest score (14). Here 8 sits comfortably in that range. Also, if the total is 40 and there are 5 scores, you can think "40 ÷ 5" as "how many 5s fit into 40?", which is 8.

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