Consider the following set of numbers: (6, 20, 21, 21, 18, 20, 35, 37). Using the standard 1.5 IQR rule for outliers, which members of the set are outliers?A. 35, 37B. 6, 37C. 6, 35, 37D. 37E. None of these are outliers.

Respuesta :

Answer:

E. None of these are outliers.

Step-by-step explanation:

Ordering the numbers on the data set gives us:

6, 18, 20, 20, 21, 21, 35, 37

[tex]Q_1 = \frac{18+20}{2} = 19\\Q_3 = \frac{21+35}{2} = 28[/tex]

[tex]IQR = 28-19=9[/tex]

According to the standard 1.5 IQR rule for outliers, any numbers outside of the following interval ar potential outliers:

[tex]Q_1-1.5*IQR \leq n \leq Q_3+1.5*IQR\\19-1.5*9 \leq n \leq 1.5*9+28\\5.5 \leq n \leq 41.5[/tex]

Since all of the numbers in the set fit that condition, E. None of these are outliers.