Question

Public participation in election processes is a key to democracy. Let’s examine voter turnout in the 2010 November elections by educational level.

Educational Level	Number That Voted (in thousands)
Less than high school graduate	29,837
High school graduate or GED	70,998
Some college or associate’s degree	65,321
Bachelor’s degree	41,703
Advanced degree	21,831

Find the 20^th and 80^th percentile for the number of voters.

Write a few sentences explaining why the results from a) need to be cautiously interpreted. (Hint: Consider the difference between raw frequencies and relative frequencies.)

Answer 1

Voted 29837 70998 65321 41703 21831 After arranging the values in accending order 21831 29837 41703 65321 70998 20 th percentile 80 t 23432.2 69862.6 h percentile 20th percentile 20*((n+1)/100) th value 20(6/100) th val - 1.2 th value 1st val(0.2(2 nd val 1st val) 21831+0.2 (29837-21831) - 23432.2 80th percentile 80*((n+1)/100) th value -80(6/100) th val 4.2 th value 4 th val (0.8)(5 th val 4 th val) -65321+0.8 (70998-65321) 69862.6