Math Problem Statement

Suppose the accompanying data are median ages (in years) for residents of each of the 50 U.S. states and the District of Columbia (DC) in a particular year.

Use these data to calculate the values (in years) in the five-number summary.

smallest observation? lower quartile? median? upper quartile? largest observation?

Suppose the accompanying data are median ages (in years) for residents of each of the 50 U.S. states and the District of Columbia (DC) in a particular year. Use these data to calculate the values (in years) in the five-number summary. Smallest observation? Lower quartile? Median? Upper quartile? Largest observation?

Solution

The five-number summary for the median ages of the 50 U.S. states and the District of Columbia (DC) is as follows:

  1. Smallest observation: 29.0 years
  2. Lower quartile (Q1): 35.85 years
  3. Median (Q2): 38.5 years
  4. Upper quartile (Q3): 40.85 years
  5. Largest observation: 46.6 years

Would you like further details or explanations?

Here are 5 related questions:

  1. What is the interquartile range (IQR) for these data?
  2. How could outliers be identified using this five-number summary?
  3. How would the five-number summary change if another state had an extremely high or low median age?
  4. What statistical insights can be drawn from the distribution of median ages across the states?
  5. What are potential reasons for variations in median age among different states?

Tip: The five-number summary is a powerful way to quickly understand the spread and central tendency of a dataset.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Five-Number Summary

Formulas

Q1 = (n+1)/4
Q2 (Median) = (n+1)/2
Q3 = 3(n+1)/4

Theorems

Five-Number Summary
Quartiles

Suitable Grade Level

Grades 9-12