Math Problem Statement

Question content area top Part 1 Listed below are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the​ 5-number summary.

122 124 127 130 133 135 138 139 142 144 146 146 148 150 153 158 161 161 164 170

Solution

Here is the boxplot of the strontium-90 levels in baby teeth. It visualizes the five-number summary and shows the distribution of the data, including the minimum, Q1, median, Q3, and maximum.

Would you like further details or have any other questions? Here are some related questions to explore:

  1. How can you interpret outliers from a boxplot?
  2. What is the interquartile range (IQR) of this dataset?
  3. How can you identify skewness from a boxplot?
  4. How would the boxplot change if there were extreme outliers?
  5. What are some common uses of a five-number summary in data analysis?

Tip: The IQR (Interquartile Range) is a key measure of spread, defined as Q3−Q1Q3 - Q1, which helps to understand the variability of the data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Five-Number Summary
Boxplot

Formulas

Five-number summary: Minimum, Q1 (First Quartile), Median, Q3 (Third Quartile), Maximum
Interquartile Range (IQR) = Q3 - Q1

Theorems

None explicitly, but the five-number summary is a key concept in exploratory data analysis.

Suitable Grade Level

Grades 9-12

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