a bookstore owner collects data on the ages of people who buy science fiction novels and fantasy novels. the…

a bookstore owner collects data on the ages of people who buy science fiction novels and fantasy novels. the box plots show the data distributions. compare the variability of the data sets. complete each statement. the range for science fiction is less than the range for fantasy. the iqr for science fiction is? the iqr for fantasy. less than greater than equal to ages of readers science fiction fantasy 10 20 30 40 50 60 age (years)

a bookstore owner collects data on the ages of people who buy science fiction novels and fantasy novels. the box plots show the data distributions. compare the variability of the data sets. complete each statement. the range for science fiction is less than the range for fantasy. the iqr for science fiction is? the iqr for fantasy. less than greater than equal to ages of readers science fiction fantasy 10 20 30 40 50 60 age (years)

Answer

Explanation:

Step1: Recall IQR definition

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), $IQR = Q_3 - Q_1$.

Step2: Estimate IQR for Science Fiction

For the science - fiction box - plot, assume $Q_1\approx20$ and $Q_3\approx35$. Then $IQR_{SF}=35 - 20=15$.

Step3: Estimate IQR for Fantasy

For the fantasy box - plot, assume $Q_1\approx25$ and $Q_3\approx45$. Then $IQR_{F}=45 - 25 = 20$.

Step4: Compare IQRs

Since $15<20$, the IQR for Science Fiction is less than the IQR for Fantasy.

Answer:

less than