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 less than the iqr for fantasy. overall, the age of readers varies? for science fiction than for fantasy. less more
Answer
Explanation:
Step1: Recall range formula
Range = Maximum - Minimum
Step2: Find science - fiction range
From the box - plot, for science fiction, minimum is about 15 and maximum is about 50. Range of science fiction = 50 - 15 = 35
Step3: Find fantasy range
For fantasy, minimum is about 10 and maximum is about 60. Range of fantasy = 60 - 10 = 50. So the range for Science Fiction is less than the range for Fantasy.
Step4: Recall IQR formula
IQR = Q3 - Q1
Step5: Find science - fiction IQR
For science fiction, Q1 is about 20 and Q3 is about 35. IQR of science fiction = 35 - 20 = 15
Step6: Find fantasy IQR
For fantasy, Q1 is about 20 and Q3 is about 45. IQR of fantasy = 45 - 20 = 25. So the IQR for Science Fiction is less than the IQR for Fantasy.
Step7: Analyze overall variability
Since both the range and IQR of science - fiction are less than those of fantasy, overall, the age of readers varies less for Science Fiction than for Fantasy.
Answer:
The range for Science Fiction is less than the range for Fantasy. The IQR for Science Fiction is less than the IQR for Fantasy. Overall, the age of readers varies less for Science Fiction than for Fantasy.