What is the lower outlier if Q1 is 26 and Q3 is 157?
Question
What is the lower outlier if Q1 is 26 and Q3 is 157?
Solution
To find the lower outlier, we need to calculate the interquartile range (IQR) first. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
In this case, Q1 is given as 26 and Q3 is given as 157.
So, the IQR = Q3 - Q1 = 157 - 26 = 131.
To determine the lower outlier, we need to subtract 1.5 times the IQR from Q1.
Lower outlier = Q1 - (1.5 * IQR) = 26 - (1.5 * 131) = 26 - 196.5 = -170.5.
Therefore, the lower outlier is -170.5.
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