Multiple choice

Mean deviation from the mean for the observation $-1, 0, 4$ is

  1. $\displaystyle \sqrt{\frac{14}{3}}$
  2. $\displaystyle \frac{2}{3}$
  3. $2$

  4. none of these
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C Correct answer
Explanation

Mean = (-1+0+4)/3 = 1. Deviations: |-1-1|=2, |0-1|=1, |4-1|=3. Mean deviation = (2+1+3)/3 = 6/3 = 2.

AI explanation

The mean of the observations is calculated as negative 1 plus 0 plus 4 divided by 3, which equals 1. The absolute deviations from this mean are 2, 1 and 3, and their sum is 6. We divide this sum by the number of observations to find the mean deviation: 6 divided by 3 equals 2.

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