Question

which of the following is used to identify outliers in a set of data?
1.5(iqr)
1.5(range)
2(mean)
2(median)

Explanation:

To identify outliers in a data set, the inter - quartile range (IQR) method is commonly used. The formula for determining outliers is \(Q1 - 1.5(IQR)\) (lower bound) and \(Q3+1.5(IQR)\) (upper bound), where \(Q1\) is the first quartile and \(Q3\) is the third quartile. The range is the difference between the maximum and minimum values and is not used in this outlier - detection formula. The mean and median are measures of central tendency and are not part of the standard \(1.5\times IQR\) outlier - identification rule.

Answer:

1.5(IQR)