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JAMB Mathematics 1994 Question 44

Question 44

Measures of Central Tendency

x: 1, 2, 3, 4, 5
f: y + 2, y − 1, 2y − 3, y + 4, 3y − 4
The table above shows the frequency distribution of data. If the mean is 43/14, find y?

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

Answer: B (2)

Explanation

Σf = 8y − 2 and Σfx = 28y − 13. Setting (28y − 13)/(8y − 2) = 43/14 and cross-multiplying gives 392y − 182 = 344y − 86, so 48y = 96 and y = 2.