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JAMB Mathematics 2005 Question 44

Question 44

Measures of Central Tendency

Scores: 1, 2, 3, 4, 5, 6
No. of students: 1, 4, 5, 6, x, 2
The table above shows the scores of a group of students in a test. If the average score is 3.5, find the value of x.

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

Answer: B (2)

Explanation

Σfx = 1 + 8 + 15 + 24 + 5x + 12 = 60 + 5x and Σf = 18 + x. (60 + 5x)/(18 + x) = 3.5 gives 1.5x = 3, so x = 2.