Estimating the mean from grouped data will tend to be most accurate when:
A)observations are distributed uniformly within classes.
B)there are few classes with wide class limits.
C)the sample is not very large and bins are wide.
D)the standard deviation is large relative to the mean.

Question

Quizplus · Accepted Answer

When observations are distributed uniformly within classes, the estimate of the mean from the grouped data tends to be more accurate as each observation contributes equally to the class mean. In contrast, when the observations are not uniformly distributed, or when there are few classes with wide class limits, the estimate of the mean may not be accurate. A large sample size and smaller bin widths also tend to improve the accuracy of estimating the mean from grouped data. The size of the standard deviation relative to the mean is not relevant to the accuracy of estimating the mean from grouped data.

Estimating the Mean from Grouped Data Will Tend to Be