Thank you for visiting Displayed is the ordered data of body temperatures in degrees Fahrenheit for 65 healthy adult women 96 4 96 7 96 8 97 2 97. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Using the 1.5IQR rule, numbers below 96.8 and above 100 are considered as outliners for the given data. Thus d) 100.8 is an outliner for the data.
IQR means inter quartile range. It is the value of first quartile subtracted from third quartile.
The 1.5IQR rule is the rule for finding outliners in the data. Any number in the data below first quartile - 1.5IQR and above third quartile + 1.5IQR are considered outliners.
In the given question,
N = total numbers in data = 65
first quartile = value at [tex]\frac{N+1}{4}[/tex]th observation = 98
third quartile = value at [tex]\frac{3(N+1)}{4}[/tex]th observation = 98.8
IQR = third quartile - first quartile = 98.8-98 = 0.8
1.5IQR = 1.2
outliners are below 98 - 1.2 = 96.8
and above 98.8 + 1.2 = 100
Therefore d) 100.8 is an outliner
Learn more about inter quartile range here
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Final answer:
To identify an outlier with the 1.5 x IQR rule, multiply the IQR by 1.5 and add it to Q3. Any data point above this threshold is an outlier. The correct answer here is d. 100.8.
Explanation:
To determine an outlier using the 1.5 x IQR rule:
Calculate the IQR (Interquartile Range).
Multiply the IQR by 1.5.
Add this value to the third quartile (Q3).
Any data point above this calculated value are considered outliers.
In this case, the correct answer would be d. 100.8 as it exceeds the value calculated using the 1.5 x IQR rule.
