8: Graph Interpretation
Students read, interpret, and compare graphical data displays including box plots, histograms, scatterplots, bar charts, ROC curves, and Kaplan-Meier survival plots.
Box Plots from Sorted Data
Click to show Box Plots from Sorted Data example problem
A sample of 11 measurements (already sorted) is shown below.
8, 9, 11, 12, 14, 14, 16, 17, 17, 17, 17
Which box plot correctly represents this data set?
Quartiles use Tukey hinges (median of halves); ties are allowed and keep the summary nondecreasing.
8, 9, 11, 12, 14, 14, 16, 17, 17, 17, 17
Which box plot correctly represents this data set?
Quartiles use Tukey hinges (median of halves); ties are allowed and keep the summary nondecreasing.
Box Plots from Five-Number Summary
Click to show Box Plots from Five-Number Summary example problem
A variable was summarized using the five number summary below.
Minimum = 8
Q1 = 8
Median = 10
Q3 = 11
Maximum = 12
Which box plot matches these summary statistics?
Quartiles use Tukey hinges (median of halves); ties are allowed and keep the summary nondecreasing.
Minimum = 8
Q1 = 8
Median = 10
Q3 = 11
Maximum = 12
Which box plot matches these summary statistics?
Quartiles use Tukey hinges (median of halves); ties are allowed and keep the summary nondecreasing.
Box Plots from Sample Data
Click to show Box Plots from Sample Data example problem
A sample of 12 measurements (unsorted) is shown below.
16, 6, 13, 16, 11, 14, 16, 8, 7, 16, 16, 10
Which box plot correctly represents this data set?
Quartiles use Tukey hinges (median of halves); ties are allowed and keep the summary nondecreasing.
16, 6, 13, 16, 11, 14, 16, 8, 7, 16, 16, 10
Which box plot correctly represents this data set?
Quartiles use Tukey hinges (median of halves); ties are allowed and keep the summary nondecreasing.