Question

the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 which explains whether or not 12 is an outlier?

Answer 1

Answer:

12 is not an outlier as it is not greater than 13.

Step-by-step explanation:

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Median = 5

Q₁ = 3 (3rd term in sequence)

Q₃ = 7 (9th term in sequence)

IQR = 4

Outliers are either values significantly larger or smaller than the rest of values;

The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)

The lower limit is found by: Q₁ - ³/₂(IQR)

Outliers < 3 - ³/₂(4)

Outliers < -3

Outliers > 7 + ³/₂(4)

Outliers > 13

The lower limit is -3 and the upper limit is 13