ashkids7178
16.07.2021 •
Mathematics
Consider the following information related to a set of quantitative sample data:
Standard deviation of the sample data is 14.92, and the mean is 22.0 0th quartile is -24, 1st quartile of the data is 14.5, 2nd quartile is 24.5, 3rd quartile is 33.5, and 4th quartile is 64.
a. Is there any outlier(s) in the data?
b. If there is an outlier(s), what is the value(s) of the outlier?
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Ответ:
(a) There are outliers
(b) and
Step-by-step explanation:
Given
Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where
So, we have:
The lower bound of outlier becomes
The upper bound of outlier becomes
So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of .
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and
Ответ:
612
Step-by-step explanation: