Which of the following statements about a weighted mean is true?
A) The weighted mean is always equal to the arithmetic mean.
B) The weighted mean can only be reported if the sample size is equal in each group.
C) The weighted mean is used to compute the combined mean for two or more samples of scores in which the number of scores in each sample is disproportionate or unequal.
D) The weighted mean is heavier than an arithmetic mean.

Question

Quizplus · Accepted Answer

The weighted mean is used to compute the combined mean for two or more samples of scores in which the number of scores in each sample is disproportionate or unequal. It takes into account the number of observations in each group and gives more weight to the group with a larger sample size. Option A is false because the weighted mean is not always equal to the arithmetic mean. Option B is also incorrect because the weighted mean can be reported even if the sample size is unequal. Option D is incorrect because the term "heavier" does not have any meaning in the context of means.

Which of the Following Statements About a Weighted Mean Is