Question

The difference of the range and the interquartile range of the data set represented by the box plot is

Answer 1

Answer:

10

Step-by-step explanation:

R-IQR

Answer 2

Answer:

$R - IQR = 10$

Step-by-step explanation:

The interquartile range is IQR is:

$IQR = Q_3 -Q_1$

Where:

$Q_3$ = third quartile

$Q_1$ = first quartile

So the interquartile range is the difference between the highest quartile and the lowest quartile. In other words, it is the width of the box in the diagram.

So:

$IQR = 29 -21\\IQR = 8$

The R range is the difference between the highest value and the lowest. In other words:$R = 34 -16\\R = 18$

Finally:

$R - IQR = 18 - 8 = 10$