Which of the following statements about a weighted mean is true.
A)The weighted mean is always equal to the arithmetic mean.
B)The weight mean can only be reported id 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 relative size or importance of each group, unlike the arithmetic mean, which assumes each value has equal weight. Therefore, it can be used even if the sample sizes are not equal. Option A is incorrect since the two means are not always the same. Option B is incorrect since the weighted mean can still be computed even if the sample sizes are not equal. Option D is incorrect because the term "heavier" does not relate to any actual mathematical property of the weighted mean.

Which of the Following Statements About a Weighted Mean Is