Question

question 33 of 40
these box plots show shark attack data for the years 2005 to 2014 in florida and australia.
which statement best compares the spreads of the data sets?
a. the interquartile range (iqr) for florida, 11, is greater than the iqr for australia, 4.
b. the range for australia, 12, is less than the range for florida, 20.
c. the interquartile range (iqr) for florida, 11, is less than the iqr for australia, 15.
d. the median for australia, 11.5, is less than the median for florida, 22.

Explanation:

Step1: Calculate the IQR for Florida

The formula for IQR is \(IQR = Q_{3}-Q_{1}\). For Florida, \(Q_{1} = 17\), \(Q_{3}=28\). So, \(IQR_{Florida}=28 - 17=11\).

Step2: Calculate the IQR for Australia

For Australia, \(Q_{1} = 10\), \(Q_{3}=14\). So, \(IQR_{Australia}=14 - 10 = 4\).

Step3: Calculate the range for Florida

The formula for range is \(Range=Max - Min\). For Florida, \(Max = 31\), \(Min = 11\). So, \(Range_{Florida}=31 - 11=20\).

Step4: Calculate the range for Australia

For Australia, \(Max = 22\), \(Min = 7\). So, \(Range_{Australia}=22 - 7 = 15\).

Answer:

A. The interquartile range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.