Question

Which statement best compares the spreads of the data sets?

A. The interquartile range (IQR) for Democratic electoral votes, 68.5, is less than the IQR for Republican votes, 117.5.
B. The range for Democratic electoral votes, 366, is greater than the range for Republican votes, 185.5.
C. The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
D. The median for Democratic electoral votes, 299, is greater than the median for Republican votes, 238.5.

Answer 1

The interquartile range for Democratic electoral votes is less than the interquartile range for Republican votes.

Step-by-step explanation:

The interquartile range (IQR) is a measure of the spread of the middle half, or the middle 50 percent, of the data. It is the difference between the third quartile (Q3) and the first quartile (Q1). The IQR for the Democratic electoral votes is 68.5, which is less than the IQR for the Republican votes, which is 117.5. Therefore, statement A is the correct answer.