The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled,low-speed collisions.The cost for a sample of nine cars,in hundreds of dollars,is provided below

What is the interquartile range of the above data?
A)A value less than $200
B)A value between $200 and $460
C)A value between $460 and $800
D)None of the above

Question

The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled,low-speed collisions.The cost for a sample of nine cars,in hundreds of dollars,is provided below

What is the interquartile range of the above data?

What is the interquartile range of the above data?
A)A value less than $200 
B)A value between $200 and $460 
C)A value between $460 and $800 
D)None of the above

Quizplus · Accepted Answer

To find the interquartile range, we first need to find the median (Q2) of the data set. The median is the middle value, which is (460+470)/2 = 465. Next, we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data set, which is (200+340)/2 = 270. Q3 is the median of the upper half of the data set, which is (650+670)/2 = 660. The interquartile range is then Q3-Q1 = 660-270 = 390, which is between $200 and $460. Therefore, the answer is B.

The Insurance Institute for Highway Safety Publishes Data on the Total