Math Problem Statement
Cholesterol levels (in mg/dL) were collected from a random sample of 12 patients two days after they had a heart attack.
Cholesterol Levels (in mg/dL) 288 234 500 294 210 236 186 282 276 280 280 236
For the data shown above, find the following.
Do not round any of your answers.
a) Find the quartiles:
Q1 = 235 Correct
Q2 = 278 Correct
Q3 = 288 Incorrect
b) Compute the IQR.
53 Incorrect
c) What is the lower fence for this data set?
186 Incorrect
d) What is the upper fence for this data set?
500 Incorrect
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Quartiles
Interquartile Range (IQR)
Outliers
Formulas
Q1 = Lower Quartile, Q2 = Median, Q3 = Upper Quartile
IQR = Q3 - Q1
Lower Fence = Q1 - 1.5 * IQR
Upper Fence = Q3 + 1.5 * IQR
Theorems
Tukey's Fences for Outlier Detection
Suitable Grade Level
Grades 10-12
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