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Sagot :
Answer:
a. An observation is considered an outlier if it is below -5
b. An observation is considered an outlier if it is above 27
Explanation:
Given a five-number summary of a dataset as 1,7, 12, 15, 20.
We can go ahead and label the numbers thus;
1 - Minimum
7 - 1st Quartile (Q1)
12 - Median (Middle number)
15 - 3rd Quartile(Q3)
20 - Maximum
The Interquartlie Range(IQR) = Q3 - Q1 = 15 - 7 = 8
Note that an outlier is any number less than Q1 - (1.5 * IQR) or any number greater than Q3 + (1.5 * IQR)
Let's now determine the value of Q1 - (1.5 * IQR) as seen below;
[tex]7-(1.5\cdot8)=7-12=-5[/tex]Therefore, an observation is considered an outlier if it is below -5
Let's now determine the value of Q3 + (1.5 * IQR) as seen below;
[tex]15+(1.5\cdot8)=15+12=27[/tex]Therefore, an observation is considered an outlier if it is above 27
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