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WAEC Further Mathematics 2023 Question 16

Question 16

Statistics

The table shows the marks obtained by students in a test.
Marks: 1, 2, 3, 4, 5
Frequency: 2, k, 1, 1, 2
If the mean mark is 3, find the value of k.

  1. A.1
  2. B.2
  3. C.3
  4. D.4
Show the answer and explanation

Answer: A (1)

Explanation

Mean = (2 + 2k + 3 + 4 + 10)/(6 + k) = 3, so 19 + 2k = 18 + 3k and k = 1.