Multiple choice

Standard deviation of the distribution $1, 3, 5,....., 13$ will be

  1. $2$
  2. $4$
  3. $7$

  4. None
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D Correct answer
AI explanation

For the discrete series 1, 3, 5, 7, 9, 11, 13, the mean is calculated as 49 divided by 7, which equals 7. The sum of the squared deviations from the mean is 36 plus 16 plus 4 plus 0 plus 4 plus 16 plus 36, totaling 112. Dividing by 7 gives a variance of 16, so the standard deviation is 4, which is not listed among the given choices.

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