Advanced topic: The value of the harmonic mean
A)is disproportionately influenced by smaller numbers (meaning,smaller sample sizes).
B)is disproportionately influenced by larger numbers (meaning,larger sample sizes).
C)is equidistant from both group sizes.
D)cannot be determined without more information.

Question

Quizplus · Accepted Answer

The harmonic mean is calculated by dividing the number of values in the sample by the sum of the reciprocals of those values. As the sample size gets smaller, the sum of the reciprocals gets larger, which in turn increases the value of the harmonic mean. Therefore, smaller numbers disproportionately influence the value of the harmonic mean.

Advanced Topic: the Value of the Harmonic Mean