Math Problem Statement

Fourteen different​ second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings​ (mm Hg) are listed below. Use the given data to construct a boxplot and identify the​ 5-number summary.

120

127

135

120

120

125

134

130

147

139

132

140

136

150

Solution

The 5-number summary for the given systolic readings is:

  • Minimum: 120
  • Q1 (First Quartile): 125.5
  • Median: 133.0
  • Q3 (Third Quartile): 138.25
  • Maximum: 150

Would you like more details on how these values were calculated or have any questions?

Here are 5 related questions to explore:

  1. How do quartiles divide data in a dataset?
  2. What does the interquartile range (IQR) tell us about a dataset?
  3. How are outliers identified using a boxplot?
  4. What does the median represent in a dataset?
  5. How does a boxplot help visualize the spread and distribution of data?

Tip: The interquartile range (IQR) can be used to detect outliers by identifying values below Q1 - 1.5IQR or above Q3 + 1.5IQR.

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Boxplot
Five-Number Summary

Formulas

Minimum = Smallest data value
Q1 = Median of the lower half of the data
Median = Middle value of the dataset
Q3 = Median of the upper half of the data
Maximum = Largest data value

Theorems

Quartiles and Interquartile Range

Suitable Grade Level

Grades 10-12

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