Q. 47 - The Practice of Statistics for AP

Question

A sample survey reports that $29\%$Internet users download music files online, $21\%$ share music files from their computers, and $12\%$ both download and share music.6 Make a Venn diagram that displays this information. What per cent of Internet users neither download nor share music files? 

Step-by-Step Solution

Answer

$62$ percent of Internet users do not download or distribute music files.

Step 1: Given information

Internet users download music files online $=29\%$

Share music files from their computers $=21\%$

Both download and share music $=12\%$

To find percent of Internet users who neither download nor share music files.

Step 2: Explanation

Draw two ellipses that are slightly overlapping. "Download" or "D" should be written on the left ellipse, while "Share" or "S" should be written on the right ellipse.

At the intersection of the two ellipses, write the proportion of Internet users who both download and share music.

To the left, write the percentage of Internet users who download but do not exchange music.$(29\%-12\%=17\%)$

To the right, write the percentage of Internet users who download but do not exchange music.$(21\%-12\%=9\%)$

On the outside of both ellipses, rewrite the remaining proportion of Internet users.$(100\%-17\%-12\%-9\%=62\%)$