Question

Which of the following is not a property of the mean? The mean is sensitive to the exact value of all the scores. The sum of the deviations about the mean equals zero. The sum of the squared deviations about the mean is a minimum. The mean is most subject to sampling variation. The mean is most affected by extreme scores.

Answer 1

Of the options provided, that which is not a property of the mean is;

• The mean is most subject to sampling variation.

Of all the measures of central tendencies, the mean is the least subject to sampling variation. The mean is the average of scores and it is symbolized by Xbar.

When used in reference to a whole population, the mean is represented as μ. The mean is the average of a set of scores.

Some other properties of the mean include that the sum of the deviations about the mean is equal to zero, the mean is affected by extreme scores, and the mean is sensitive to the exact value of the scores in a distribution.

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