## Identify any data entries less than Q1-1.5(IQR) or greater than Q3+1.5(IQR) Q1=35 Q3=47 IQR=12 26, 31, 35, 37, 42, 43, 44, 45, 47,

Question

Identify any data entries less than Q1-1.5(IQR) or greater than Q3+1.5(IQR)
Q1=35 Q3=47 IQR=12
26, 31, 35, 37, 42, 43, 44, 45, 47, 48 70

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4 weeks 2021-08-19T12:57:42+00:00 1 Answers 0 views 0

70

Step-by-step explanation:

Given the data set: 26, 31, 35, 37, 42, 43, 44, 45, 47, 48 70, of which:

First quarter (Q1) = 35,

Third Quartile (Q3) = 47, and,

Interquartile range (IQR) = 47 – 35 = 12

We are required to find out if there is any outlier in the data set.

To identify any outlier, any data entry that is Q1 – 1.5(IQR) or greater than Q3 + 1.5(IQR) is an outlier.

Let’s find each to see if any data entry is below or above any of the above as follows:

Q1 – 1.5(IQR) = 35 – 1.5(12) = 35 – 18 = 17

Is there any of the data entries that is less than 17? The answer is NO.

Q3 + 1.5(IQR) = 47 + 1.5(12) = 47 + 18 = 65

Is there any of the data entries that is greater than 65? Obviously, YES.

70 is the data entry in the given data set that is greater than 70.

It is an outlier.