The box-and-whiskers plot below shows the distribution of median incomes for 50 towns. What is the lowest value in the set of data? The highest value? The first quartile? The third quartile? The median? Find the range and the interquartile range.
A) Lowest = $36,822; highest = $64,034; Q1 = $51,755; Q3 = $43,925; median = $47,652; range = $27,212; interquartile range = $7830
B) Lowest = $36,822; highest = $64,034; Q1 = $43,925; Q3 = $51,755; median = $47,652; range = $7830; interquartile range = $27,212
C) Lowest = $36,822; highest = $64,034; Q1 = $43,925; Q3 = $51,755; median = $47,652; range = $27,212; interquartile range = $7830
D) Lowest = $36,822; highest = $64,034; Q1 = $51,755; Q3 = $43,925; median = $47,652; range = $7830; interquartile range = $27,212
E) None of the above

Question

The box-and-whiskers plot below shows the distribution of median incomes for 50 towns. What is the lowest value in the set of data? The highest value? The first quartile? The third quartile? The median? Find the range and the interquartile range. 
A) Lowest = $36,822; highest = $64,034; Q1 = $51,755; Q3 = $43,925; median = $47,652; range = $27,212; interquartile range = $7830 
B) Lowest = $36,822; highest = $64,034; Q1 = $43,925; Q3 = $51,755; median = $47,652; range = $7830; interquartile range = $27,212 
C) Lowest = $36,822; highest = $64,034; Q1 = $43,925; Q3 = $51,755; median = $47,652; range = $27,212; interquartile range = $7830 
D) Lowest = $36,822; highest = $64,034; Q1 = $51,755; Q3 = $43,925; median = $47,652; range = $7830; interquartile range = $27,212 
E) None of the above

Quizplus · Accepted Answer

Looking at the box and whiskers plot, we can see that the lowest value is at about $36,822 and the highest value is at about $64,034. The first quartile is where the bottom of the box is, which is at about $43,925. The third quartile is where the top of the box is, which is at about $51,755. The median is the line inside the box, which is at about $47,652. The range is the difference between the highest and lowest values, which is $64,034 - $36,822 = $27,212. The interquartile range is the difference between the third and first quartiles, which is $51,755 - $43,925 = $7,830. Therefore, the best choice is C.

The Box-And-Whiskers Plot Below Shows the Distribution of Median Incomes