Question

Which of the following is NOT a property of the mean?

a. the mean is sensitive to the exact value of all of the scores
b. the mean is the most subject to sampling variation
c. the sum of the deviations about the mean equals zero
d. the sum of the squared deviations about the mean is a minimum
e. the mean is most affected by extreme scores

Answer 1

The mean is sensitive to the exact value of all of the scores.

Step-by-step explanation:

The correct answer is a. the mean is sensitive to the exact value of all of the scores. This property is not true for the mean. The mean is the sum of all the scores divided by the number of scores. It takes into account the exact value of each score and is influenced by extreme values, unlike the median or mode. For example, if you have a data set with scores of 1, 2, 3, 4, and 100, the mean will be greatly affected by the extreme value of 100.