Question

the interquartile range of the data set is 4. 2,2,3,3,4,5,5,5,6,7,9,12. which explains whether or not 12 is an outlier? o twelve is an outlier because it is greater than the sum of 7 and 4. o twelve is an outlier because it is less than the sum of 7 and 6. o twelve is not an outlier because it is greater than the sum of 7 and 4. o twelve is not an outlier because it is less than the sum of 7 and 6.

Explanation:

Step1: Recall outlier concept

An outlier is a data - point that is either much larger or much smaller than most of the other data - points. One way to check for outliers in a simple sense for a small data - set is to consider if a value is far from the general range of values. First, find the sum of some representative values. Here, we can consider the sum of two values from the data - set to get a sense of the "normal" range.

Step2: Calculate sums

The sum of 7 and 4 is $7 + 4=11$, and the sum of 7 and 6 is $7+6 = 13$. The value 12 is close to these sums. If a value is an outlier, it is usually much greater or much less than the sums of typical values in the data - set. Since 12 is not much greater than $7 + 4=11$ and not much less than $7+6 = 13$, 12 is not an outlier because it is less than the sum of 7 and 6.

Answer:

Twelve is not an outlier because it is less than the sum of 7 and 6.