Question

HELP PLEASE!!!

Instructions:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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

Answer 1

Answer:

The he difference of the range and the interquartile range of the data set is 10.

Step-by-step explanation:

The left end point of the line is lower limit and the right end point of the line is upper limit. The left end of the box represent Q₁ and right end of the box represent Q₃. The point between Q₁ and  Q₃ represent median.

From the given box plot it is noticed that

$\text{Lower limit}=16$

$Q_1=21$

$\text{Median}=26$

$Q_3=29$

$\text{Upper limit}=34$

The range of the data is

$Range=\text{Upper limit}-\text{Lower limit}=34-16=18$

The interquartile range of the data is

$\text{Interquartile Range}=Q_3-Q_1=29-21=8$

The difference of the range and the interquartile range of the data set is

$D=\text{Range}-\text{Interquartile Range}=18-8=10$

Therefore the difference of the range and the interquartile range of the data set is 10.

Answer 2

Answer:

R-IQR = 10

Step-by-step explanation:

R = 34 - 16

R = 18

IQR = 29 - 21

IQR = 8

18 - 8 = 10