WAEC 2018 Mathematics · Question 47

Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2

Options

  1. A.0.0
  2. B.0.5
  3. C.1.0
  4. D.1.5

Answer: C. 1.0

Explanation written with AI and checked against the answer key

Analyze the question: We need the median of the data set: 2, 1, 0, 3, 1, 1, 4, 0, 1, 2. That is 10 numbers.

Concept: The median is the middle value when the data is arranged in order.

  • If n is odd, the median is the middle value.
  • If n is even, the median is the average of the two middle values, the (n/2)th and (n/2 + 1)th.

Solution:

Step 1: Arrange in ascending order: 0, 0, 1, 1, 1, 1, 2, 2, 3, 4

Step 2: Count the values: n = 10 (even).

Step 3: Find the 5th and 6th values:

  • 5th value = 1
  • 6th value = 1

Step 4: Median = (1 + 1) / 2 = 1.0

Answer: C. 1.0

Tip: Always sort the data first and count carefully, since missing one value changes which positions are in the middle. Also, for an even number of values, remember to average the two middle ones. Here both are 1, so the median is 1.

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