Math Problem Statement
Use the accompanying data set to complete the following actions.
a. Find the quartiles.
b. Find the interquartile range.
c. Identify any outliers.
57 61 62 58 59 55 61 58 63 58 61 59 64 57 73
Question content area bottom
Part 1
a. Find the quartiles.
The first quartile, Upper Q 1, is
enter your response here.
The second quartile, Upper Q 2, is
enter your response here.
The third quartile, Upper Q 3, is
enter your response here.
(Type integers or decimals.)
Part 2
b. Find the interquartile range.
The interquartile range (IQR) is
enter your response here. (Type an integer or a decimal.)
Part 3
c. Identify any outliers.
Choose the correct answer below.
A.
There exists at least one outlier in the data set at
73.
(Use a comma to separate answers as needed.)
B.
There are no outliers in the data set.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Quartiles
Interquartile Range
Outliers
Formulas
First Quartile (Q1) = (n+1)th data point / 4
Second Quartile (Median) = Middle value of the data set
Third Quartile (Q3) = 3(n+1)th data point / 4
Interquartile Range (IQR) = Q3 - Q1
Outliers: Values < Q1 - 1.5 * IQR or > Q3 + 1.5 * IQR
Theorems
Quartile Theorem
Outlier Detection using IQR
Suitable Grade Level
Grades 9-12
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