In a box plot, data value x is considered an outlier ifA) x Q3 + 1.0(IQR) .B) x Q2 + 1.0(IQR) .C) x Q3 + 1.5(IQR) .D) x Q2 + 1.5(IQR) .

Question

In a box plot, data value x is considered an outlier if

A) x < Q1 - 1.0(IQR) or x > Q3 + 1.0(IQR) .
B) x < Q2 - 1.0(IQR) or x > Q2 + 1.0(IQR) .
C) x < Q1 - 1.5(IQR) or x > Q3 + 1.5(IQR) .
D) x < Q2 - 1.5(IQR) or x > Q2 + 1.5(IQR) .

Carolina Garcia Gomez · Accepted Answer

Final Answer : C, Explanation :  The most commonly used definition of an outlier in box plots is any data value less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR). This definition is more robust than the alternatives presented, as it allows some room for variability without including extreme values that may be caused by errors or anomalies in the data. Therefore, choice C is the best answer.

In a box plot, data value x is considered an outlier if

A) x < Q1 - 1.0(IQR) or x > Q3 + 1.0(IQR) .
B) x < Q2 - 1.0(IQR) or x > Q2 + 1.0(IQR) .
C) x < Q1 - 1.5(IQR) or x > Q3 + 1.5(IQR) .
D) x < Q2 - 1.5(IQR) or x > Q2 + 1.5(IQR) .

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​In a box plot, data value x is considered an outlier ifA) ​x < Q1 - 1.0(IQR) or x > Q3 + 1.0(IQR) .B) ​x < Q2 - 1.0(IQR) or x > Q2 + 1.0(IQR) .C) ​x < Q1 - 1.5(IQR) or x > Q3 + 1.5(IQR) .D) ​x < Q2 - 1.5(IQR) or x > Q2 + 1.5(IQR) .

Definitions

Learning Objectives

Learning Objectives

Related questions

In a box plot, data value x is considered an outlier if

A) x < Q1 - 1.0(IQR) or x > Q3 + 1.0(IQR) .
B) x < Q2 - 1.0(IQR) or x > Q2 + 1.0(IQR) .
C) x < Q1 - 1.5(IQR) or x > Q3 + 1.5(IQR) .
D) x < Q2 - 1.5(IQR) or x > Q2 + 1.5(IQR) .