JAMB 1993 · UME · Q49

Calculate the standard deviation of the data 7, 8, 9, 10, 11, 12, 13.

Worked solution (try it first)
  1. There are 7 values and they add up to 70, so the mean is 10.
  2. The deviations are −3-3 to 3.
  3. Their squares are 9, 4, 1, 0, 1, 4, 9, which add up to 28.
  4. The variance is 287=4\frac{28}{7} = 4, so the standard deviation is 4=2\sqrt4 = 2, option A.

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