Answer :
Answers:
- Box 1: Greater than
- Box 2: Less than
So,
- If any values in the data set are greater than the upper boundary, then those values are upper outliers.
- If any values in the data set are less than the lower boundary, then those values are lower outliers.
The general rule is that the upper boundary is found computing Q3+1.5*IQR, where IQR is the interquartile range. Recall that IQR = Q3-Q1. The Q1 and Q3 are the first and third quartiles respectively.
Another rule is that the lower boundary is found by computing Q1 - 1.5*IQR
On a box and whisker plot, outliers are points that are not connected to the main plot itself. You can think of them as islands far from the mainland.
- If any values in the data set are greater than the upper boundary, then those values are the upper outliers.
- If any values in the data set are less than the lower boundary, then those values are lower outliers.
What are Outliers?
If a number in distribution is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution, then that number is said to be an outlier.
The lower quartile is [tex]Q_1[/tex] and the upper quartile of distribution is [tex]Q_3[/tex]
Then lower boundary is given by [tex]=Q_1-1.5\times IQR[/tex]
The Upper boundary is given by [tex]=Q_3+1.5\times IQR[/tex]
If any number or value of the distribution is greater than [tex]Q_3+1.5\times IQR[/tex] then that is called Upper Outlier.
Similarly, if any value or number of the distribution is less than [tex]Q_1-1.5\times IQR[/tex] then that is called Lower Outlier.
So the answers in the boxes are given by:
- Box 1: Greater than
- Box 2: Less than
Learn more about Outliers here -
https://brainly.com/question/3631910
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