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JAMB Mathematics 1997 Question 47

Question 47

Measures of Dispersion

Find the standard deviation of the following data −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5.

  1. A.2
  2. B.3
  3. C.√10
  4. D.√π
Show the answer and explanation

Answer: C (√10)

Explanation

The mean is 0. The sum of squares is 2(1 + 4 + 9 + 16 + 25) = 110, so the variance is 110/11 = 10 and the standard deviation is √10.