Question

which sets contain one or more outliers? check all that apply. 187, 298, 239, 1, 984, 202, 191; 5, 3, 8, 6, 3, 6, 1, 2, 0; 15, 19, 21, 16, 25, 13, 17; 56, 1, 5, 72, 67, 59, 74, 60; 88, 7, 32, 31, 34, 39, 34, 35, 33

Explanation:

Step1: Recall outlier definition

An outlier is a data - point that is significantly different from other data - points in a dataset. One common way to identify outliers is using the inter - quartile range (IQR) method. But we can also make a quick visual inspection for large differences.

Step2: Analyze first set

The set \(187,298,239,1984,202,191\). The value \(1984\) is much larger than the other values in the set. So this set has an outlier.

Step3: Analyze second set

The set \(5,3,8,6,3,6,1,2,0\) has values that are in a relatively small range. There are no extreme values compared to others, so no outlier.

Step4: Analyze third set

The set \(15,19,21,16,25,13,17\) has values that are close to each other. No extreme values, so no outlier.

Step5: Analyze fourth set

The set \(56,1,5,72,67,59,74,60\). The value \(1\) is quite different from the other values which are mostly in the \(50 - 70\) range. So this set has an outlier.

Step6: Analyze fifth set

The set \(88,7,32,31,34,39,34,35,33\). The value \(7\) is much smaller than the other values which are mostly in the \(30 - 40\) range. So this set has an outlier.

Answer:

The sets \(187,298,239,1984,202,191\), \(56,1,5,72,67,59,74,60\), \(88,7,32,31,34,39,34,35,33\) contain one or more outliers.