Multiple choice

The algebraic sum of the deviations of $20$ observations measured from $30$ is $2$. What would be the mean of the observations?

  1. $30$
  2. $32$
  3. $30.2$
  4. $30.1$
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D Correct answer
Explanation

Mean = A + (sum of deviations) / N = 30 + 2/20 = 30 + 0.1 = 30.1.

AI explanation

Using the assumed mean method formula, the actual mean equals the assumed mean plus the algebraic sum of deviations divided by the number of observations. Substituting the given values into the formula gives 30 plus 2 divided by 20. The result is 30 plus 0.1, which makes the mean 30.1.

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