The US Census Bureau collected data on family composition and found that samples from different parts of the country gave very different results for the mean number of family members living in households. If all of the data were combined to one data set,
A) the standard deviation of number of family members would probably be very small.
B) the standard deviation of number of family members would probably be relatively high.
C) the interquartile range would be small.
D) the median would equal the mean.

Question

Quizplus · Accepted Answer

The fact that samples from different parts of the country gave very different results for the mean number of family members living in households suggests that there is a high degree of variation in the data. Therefore, combining all of the data into one data set would likely lead to a relatively high standard deviation of number of family members. The interquartile range and median are not necessarily affected by the degree of variation in the data, so options C and D are not necessarily true.

The US Census Bureau Collected Data on Family Composition and Found