Question

Help needed!

Lillian enjoys looking at maps. Last weekend, she looked at a map that showed the elevatio
of the highest cities in the world, all of which are at least 4,500 meters above sea level. Of
the 16 cities on the list, 11 are in Asia and the other 5 are in South America. The median
elevation of the cities is 4,727.5 meters above sea level, and the interquartile range is 305
meters.
Which is a measure of how much the cities' elevations vary?
A. 11 meters
B. 305 meters
C. 4,500 meters
D. 4,727.5 meters

Answer 1

Answer: The correct answer is B. 305 meters.

Explanation:

A measure of how much the cities’ elevations vary is the interquartile range, which is the difference between the third quartile and the first quartile of a data set. The interquartile range tells us how spread out the middle 50% of the data is. In this case, the interquartile range is 305 meters, which means that the middle 50% of the cities have elevations that are within 305 meters of each other.

The other options are not measures of variation. Option A, 11 meters, is the number of cities in Asia, which has nothing to do with variation. Option C, 4,500 meters, is the minimum elevation of the cities on the list, which does not tell us how much they vary. Option D, 4,727.5 meters, is the median elevation of the cities, which is a measure of central tendency, not variation.