Question

In modified boxplots, a data value is a(n) outlier if it is above Q3+(1.5)(IQR) or below Q1-(1.5)(IQR).

A) Statistical anomaly.
B) Deviation threshold.
C) Extremity measure.
D) Outlier boundary.

Answer 1

The term for a calculated numerical distance from the quartiles that defines whether a data point is an outlier is called an outlier boundary. The correct answer to the student's question is D) Outlier boundary.

Step-by-step explanation:

In modified boxplots, a data value is an outlier if it falls below Q1 - (1.5)(IQR) or above Q3 + (1.5)(IQR), where IQR is the interquartile range (the difference between the third and first quartiles). For the provided dataset, where Q1 is 2 and Q3 is 9 (making IQR = Q3 - Q1 = 7), an outlier would be any value greater than Q3 + (1.5)(7) or less than Q1 - (1.5)(7). This establishes a range beyond which any data point is considered an outlier. This criterion (a calculated numerical distance from the quartiles) helps to identify data values that are significantly different from the others and may indicate an unusual event or error in the data.

The correct term for this numerical criterion is outlier boundary. Therefore, the answer to the student's question is D) Outlier boundary.