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MEAN, MEDIAN, MODE

By Rhonda Schilling

Mean, median, mode What in the world is this secret code? When I see those words I don't know what to do I get them all mixed up, and I just don't have a clue Mean is the average. Median is the middle. Mode is the most. It's just a math riddle. To get the mean of a set of numbers add them all and then Divide by how many numbers I added, let's say it once again! Say you have five numbers you add them all and then Divide by 5 to get the mean, the average of all of them. Mean is the average. Median is the middle. Mode is the most. It's just a math riddle. When driving down the highway, or walkin' down the street You might see a median made of grass or concrete It sits right in the middle, divides the road in two You can stop and wait for traffic there until it's clear to move. From low to high I write them down one number at a time The one that's in the middle, is the median of the line Mean is the average. Median is the middle. Mode is the most. It's just a math riddle. The number you see most often, is called the Mode That number just keeps poppin' up, it's easy to decode Mean is the average. Median is the middle. Mode is the most. It's just a math riddle.

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MEAN, MEDIAN, MODE Lesson Plan Created By: Rhonda Schilling Materials ­ Mean, Median, Mode lyric sheets or overhead Recording of ­ Mean, Median, Mode (available from Rhonda Schilling) cards with various numbers (one for each student in the class), at least 2 of the numbers should be the same (number cards pdf available ­ copy at least one page (or number) two or more times (mode)

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Listen to the recording with lyrics on overhead Teach the rap Perform with an instrumental hip hop track or with the recording

Activity 1 Choose a Number from One to Ten · Go around the room and ask the question, "Choose a number from One to Ten" and write down people's responses. · What number appears most often?_______ That's the mode. · Add all the responses and divide by the total number of responses you recorded. That's the mean. · List the responses from lowest to highest, the number that is in the middle is the median. i.e. If you got 13 responses, the 7th one would be the median. · Write down the lowest and highest response. That is the range. Activity 2 · Give each student a card with a number on it. (at least 2 of the numbers must be the same ­ (to create the mode)) · Have students put themselves in numerical order. · Ask the following questions, students respond by stepping forward and stating number 1. Who represents the range? (the first and last person step forward and state their number, then subtract the low from the high number to get the range) What is the range? 2. How many students are lined up? Who is the median? (if there are two, they need to add their numbers and divide by 2 to get the median) 3. If you have the same number as someone else, step forward. Who is the largest group? What is your number? Are you the mean, median, or mode? · Every 5 people in line, add your numbers together and write your number on the board. Then as a class, add those numbers. How many were in the line? Let's divide our sum by that number. Is this the mean, median, or mode? THOUGHT PROVOKING QUESTIONS: · When deciding on a price for a new CD, what would knowing the mean, median, and mode of retail prices tell you? 2007 Hip Hop Math Project PDF created with pdfFactory trial version www.pdffactory.com

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Would you consider the mean, median, mode, or all three before pricing your CD? Do you think Recording companies use this information on a regular basis? What other companies might use this type of information?

This lesson/activity addresses the following WSAS Math Standards: A.4.3 Connect mathematical learning with other subjects, personal experiences, current events, and personal interests E.4.2 Describe a set of data using high and low values, and range, most frequent value (mode), and middle value of a set of ordered data (median) E.8.3 Extract, interpret, and analyze information from organized and displayed data by using frequency and distribution, including mode and range or central tendencies of data (mean and median) This lesson/activity addresses the following MUSIC Standards: A.4.1 Sing (on pitch) and in rhythm with appropriate timbre, diction, and posture, and maintain a steady tempo. H.4.2 Identify ways in which the principles and subject matter of other disciplines taught in the school are interrelated with those of music

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MEAN, MEDIAN, MODE MUSIC Lesson Plan Created By: Rhonda Schilling Materials ­ Mean, Median, Mode lyric sheets or overhead Recording of ­ Mean, Median, Mode (available from Rhonda Schilling) OR Hip Hop Instrumental Track Music Textbooks

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Listen to the recording with lyrics on overhead Teach the rap Perform with an instrumental hip hop track or with the recording

What is the median? What would the median be of a melody or song? Answers might be ­ the peak of the phrase, the exact center pitch, the middle note of the phrase, etc.... Teach students what the "Golden Mean" refers to ­ this is not a true mean, but is a nice tie in to this lesson. What is the mode? What would the mode be of a melody or song? Answer might be ­ the most common pitch What is the range? What would the range be of a melody or song? Distance between the lowest and highest pitch ­ inform students this is an actual music term! What is the mean? What might the mean be of a melody or song? Answers might be ­ count the number of notes on each pitch (keep tally and assign each note a number value (or could be do, re, mi, etc...), then add and divide by the number of notes in the song , the number that results is then equated to the pitch it represents and we have the mean; the key of the song, the chord structure, etc... Class Example ­ Take the melody of a song the students know well and put the music up on the overhead or flip to the page in their music textbooks. As a class, identify the median, mode, range, and mean of the song. Group students into small groups of 3 ­ 5 students each Hand out music textbooks to students Each group should find a song in the book and locate what they would consider the median, mode, range and mean of the song. They may wish to hear their song. Each group then presents their findings to the class Class evaluates whether they would agree or disagree with their findings

2007 Hip Hop Math Project PDF created with pdfFactory trial version www.pdffactory.com

Ask students ­ Do all of these words (mean, median, range, mode) relate well to music? Which word(s) works the best? This lesson/activity addresses the following WSAS Math Standards: A.4.3 Connect mathematical learning with other subjects, personal experiences, current events, and personal interests E.4.2 Describe a set of data using high and low values, and range, most frequent value (mode), and middle value of a set of ordered data (median) E.8.3 Extract, interpret, and analyze information from organized and displayed data by using frequency and distribution, including mode and range or central tendencies of data (mean and median) This lesson/activity addresses the following MUSIC Standards: A.4.1 Sing (on pitch) and in rhythm with appropriate timbre, diction, and posture, and maintain a steady tempo. E.4.2 Use a system (syllables, numbers, or letters) to read simple pitch notation in the treble clef and major keys. F.4.4 Use appropriate terminology in explaining music, music notation, music instruments and voices, and music performances. H.4.2 Identify ways in which the principles and subject matter of other disciplines taught in the school are interrelated with those of music

2007 Hip Hop Math Project PDF created with pdfFactory trial version www.pdffactory.com

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