Question

Determine the IQR of this data set. Then indicate whether the data set contains any outliers. Explain how you determined this.

Answer 1

The interquartile range (IQR) is 7. To determine if the data set contains outliers, compare each data point to 1.5 times the IQR below Q1 and above Q3.

Step-by-step explanation:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this data set, the IQR is 7 (9 - 2). To determine if the data set contains any outliers, we use the
`1.5 * IQR` rule. Any value less than
`1.5 * IQR` below Q1 or more than 1.5 x IQR above Q3 is considered a potential outlier. Based on this rule, we need to calculate the lower and upper thresholds. For the lower threshold, we subtract
`1.5 *IQR` from Q1, and for the upper threshold, we add
`1.5 * IQR` to Q3. If any data point falls below the lower threshold or above the upper threshold, it is considered a potential outlier. To determine if this data set contains any outliers, we need to compare each data point to these thresholds.