Quartiles and Outliers Find the given values based on the fo

Quartiles and Outliers Find the given values based on the following data set: {12,8,10,7,15,3,6,7,12,8,9} Q2 = Q1 = Q3 = IQ = Identify any outliers if possible. A)3 B) 15 C) No Outliers D)3, 15

Solution

First we arrange the given data in ascending order.

3 6 7 7 8 8 9 10 12 12 15

Hence Q1 = 7

Q3 = 12

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An outlier in a distribution is a number that is more than 1.5 times the length of the box away from either the lower or upper quartiles. Speci?cally, if a number is less than Q1 - 1.5