Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.
MATHEMATICS
WAEC 2023
Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.
- A. 2.5
- B. 1.7
- C. 1.5
- D. 3.5
Correct Answer: C. 1.5
Explanation
x? = \(\frac{ 14 + 15 + 16 +17 + 18 + 19}{6} = \frac{99}{6}\) = 16.5
M . D = \(\frac{ (14 - 16.5) + (15 - 16.5) + (16 - 16.5) + (17 - 16.5) + (18 - 16. 5) + (19 - 16.5) }{ 6}\)
M.D = \(\frac{(-2.5) + (-1.5) + (-0.5) + (0.5) + (1.5) + (2.5)}{6}\)
Taking the absolute value of the deviations
M.D = \(\frac{2.5 + 1.5 + 0.5 + 0.5 + 1.5 + 2.5}{6}\)
M.D = \(\frac{9}{6}\) = 1.5
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