Answer:
Step 1:
Calculate the mean for the fiction books
The data is given below as
![\begin{gathered} 10,12,14,15,15,19 \\ \operatorname{mean}=\frac{\text{total value of numbers}}{nu\text{mber of items}} \\ \operatorname{mean}=(10+12+14+15+15+19)/(6) \\ \operatorname{mean}=(85)/(6) \\ \operatorname{mean}=14.2 \end{gathered}]()
Calculate the median.
The median of a set of numbers is the number that is the middle when arranged in order of magnitude
![\begin{gathered} \operatorname{median}=(14+15)/(2) \\ \operatorname{median}=(29)/(2)=14.5 \end{gathered}]()
Step 2:
Calculate the mean
The values are given below as
![\begin{gathered} 13,13,13,17,18,18 \\ \operatorname{mean}=\frac{\text{total value of numbers}}{nu\text{mber of items}} \\ \operatorname{mean}=(13+13+13+17+18+18)/(2) \\ \operatorname{mean}=(92)/(6) \\ \operatorname{mean}=15.3 \end{gathered}]()
Calculate the median
The median of a set of numbers is the number that is the middle when arranged in order of magnitude
![\begin{gathered} \operatorname{median}=(13+17)/(2) \\ \operatorname{median}=(30)/(2) \\ \operatorname{median}=15 \end{gathered}]()
Hence,
From the values above,
Based on the averages, fewer fictions books are usually found than nonfiction books.
The difference between the medians is 15-14.5=0.5
Hence,
The final answer is
Half a book is the difference in the medians for nonfiction and fiction.