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…

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? twelve is an outlier because it is greater than the sum of 7 and 4. twelve is an outlier because it is less than the sum of 7 and 6. twelve is not an outlier because it is greater than the sum of 7 and 4. twelve is not an outlier because it is less than the sum of 7 and 6.

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? twelve is an outlier because it is greater than the sum of 7 and 4. twelve is an outlier because it is less than the sum of 7 and 6. twelve is not an outlier because it is greater than the sum of 7 and 4. twelve is not an outlier because it is less than the sum of 7 and 6.

Answer

Explanation:

Step1: Recall outlier rule

An outlier in a data - set is greater than $Q_3+ 1.5\times IQR$ or less than $Q_1 - 1.5\times IQR$. Here, we assume the value 7 is $Q_3$ (third - quartile) and the inter - quartile range $IQR = 4$.

Step2: Calculate the upper - bound for non - outliers

We calculate $Q_3+1.5\times IQR$. Substitute $Q_3 = 7$ and $IQR = 4$ into the formula: $7+1.5\times4=7 + 6=13$.

Step3: Check if 12 is an outlier

Since $12<13$ (the upper - bound for non - outliers), 12 is not an outlier.

Answer:

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