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JAMB Mathematics 2005 Question 46

Question 46

Measures of Dispersion

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t and 6t is √2.

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

Answer: A (1)

Explanation

The mean is 4t and the deviations are −2t, −t, 0, t, 2t. Variance = 10t2/5 = 2t2, so SD = t√2 = √2 and t = 1.