Math Problem Statement
Cholesterol levels collected from patients two days after they had a heart attack are in the table.
Cholesterol levels
157 308 205 306 301 279 253 306 280 223 206 302 217 169 223 257 150 290 302 301 176 318 288 149 195 280 257 214
Find the five-number summary and interquartile range (IQR), and draw a boxplot. Min = . Q1 = . Q2 = . Q3 = . Max = . IQR = .
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Five-Number Summary
Interquartile Range (IQR)
Formulas
Five-number summary: Min, Q1, Median (Q2), Q3, Max
Interquartile range (IQR) = Q3 - Q1
Theorems
Five-Number Summary Theorem: A method for summarizing a dataset using the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
IQR Theorem: A measure of statistical dispersion, or how spread out the middle 50% of values are.
Suitable Grade Level
Grades 10-12
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