Math Problem Statement

The National Climate Data Center gave the accompanying annual rainfall (in inches) for a particular city in Oregon, from 1950 to 2014. Calculate the quartiles and the interquartile range (in inches). lower quartile? upper quartile? interquartile range?

The National Climate Data Center gave the accompanying annual rainfall (in inches) for a particular city in Oregon, from 1950 to 2014. Calculate the quartiles and the interquartile range (in inches). Lower quartile? Upper quartile? Interquartile range?

Solution

The quartile and interquartile range calculations for the rainfall data are as follows:

  • Lower quartile (Q1): 14.85 inches
  • Upper quartile (Q3): 20.08 inches
  • Interquartile range (IQR): 5.23 inches

This gives us insight into the spread of the middle 50% of the rainfall data.

Would you like to ask more questions or need further clarification?

Here are 5 related questions:

  1. How can quartiles help in understanding data variability?
  2. What other statistical measures can complement the interquartile range?
  3. How does the interquartile range compare to the total range of the data?
  4. How do extreme values (outliers) affect quartile calculations?
  5. What are the limitations of using quartiles in small datasets?

Tip: The interquartile range is a good measure to understand the spread of data because it is not influenced by extreme outliers.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis
Quartiles
Interquartile Range

Formulas

IQR = Q3 - Q1
Quartiles: Lower (Q1) and Upper (Q3) are medians of respective halves

Theorems

Quartile calculation
Interquartile range as a measure of spread

Suitable Grade Level

Grades 9-12