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Analysis of Survey Results and Student Enrollment in Music Programs

This document explores two case studies. The first analyzes a marketing survey to name a new body lotion with ginseng, focusing on the percentage difference between the most-preferred and least-preferred name options. The second case examines enrollment data from a middle school music program, calculating the total number of students participating in different instrument studies. Both examples utilize mathematical terminology to explain the steps taken in deriving the needed information.

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Analysis of Survey Results and Student Enrollment in Music Programs

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  1. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

  2. The marketing department of a company that produces body lotions conducted a survey to determine a name for a new lotion containing ginseng. The table shows the results. What was the difference between the percent of the most-preferred name and the percent of the least-preferred name? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

  3. The music program at a middle school has 22 students studying a string instrument, 23 studying a brass instrument, and 18 studying a wind instrument. Of these music students, 3 are studying all three types of instruments, 1 is studying only brass and wind, 17 are studying only string, and 13 are studying only wind. How many students are in the music program? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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