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M&M's Color Proportions: A Statistics Investigation, Summaries of Probability and Statistics

In this activity, students investigate the claim that green m&m's make up 16% of all milk chocolate m&m's produced by mars inc. Students collect and analyze a sample population of colors in a package of m&m's, construct arguments based on their findings, and create charts to visualize their results.

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

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M&M’S PROBABILITY AND STATISTICS
SUBJECT AREA: MATHEMATICS AND STATISTICS
DESCRIPTION: Are all M&M’s represented equally? Students will investigate the claim that Mars Inc. has previously made that green
M&M’s make up 16% of all milk chocolate M&M’s produced.
LESSON OBJECTIVE: Students will make a hypothesis based on the claim Mars Inc. has made about the color proportions of green
M&M’s by collecting and analyzing a sample population of colors in a package of M&M’s. Students will learn how to chart and graph
their results while constructing a viable argument that their claim is true or false.
MATERIALS/SUPPLIES:
Bag of M&M’s (regular full-size packages work best, but this can be done with fun size)
Paper towel
Printed handout
Markers
ACTIVITY PROCEDURES:
1. Introduce the activity to students. Have each student write down a hypothesis.
Hypothesis examples could include answering: Will one color be the most predominant? Will the color green be found more or less
than 16% of the packages? What colors will be the most or least frequently found in the packages?
2. Have each student open their package of M&M’s and begin counting the colors of the individual candies on the paper towel. No eat-
ing the M&M’s for now — but have students wash their hands if they plan to eat the candy afterward. Have students tally their results
on the printed handout.
a. If students are working with fun-size packages, pair them up into groups of three or four and have them tally their results
together.
3. Complete the handout by finding the frequency of each of the M&M’s colors. To find the frequency, divide the number of each color
by the number of M&M’s.
4. Have each student use the back of the handout to create a bar or pie chart of their results.
5. Bring class together to report and discuss results.
DISCUSSION AREA AND QUESTIONS:
Were any bags of M&M’s or groups off target compared to the rest of the class?
Configure all data to make one large data set. Compare those statistics with the Mars Inc. claim about green M&M’s.
Based on the data we have found today, does the data match up with the Mars Inc. claim about green M&M’s?
How did your personal hypotheses match up with what you found?
How do companies use data for marketing purposes? What are the advantages and disadvantages of this?
Adapted from Patricia Michno, WSU Mike Ilitch School of Business
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M&M’S PROBABILITY AND STATISTICS

SUBJECT AREA: MATHEMATICS AND STATISTICS

DESCRIPTION: Are all M&M’s represented equally? Students will investigate the claim that Mars Inc. has previously made that green M&M’s make up 16% of all milk chocolate M&M’s produced. LESSON OBJECTIVE: Students will make a hypothesis based on the claim Mars Inc. has made about the color proportions of green M&M’s by collecting and analyzing a sample population of colors in a package of M&M’s. Students will learn how to chart and graph their results while constructing a viable argument that their claim is true or false. MATERIALS/SUPPLIES:

  • Bag of M&M’s (regular full-size packages work best, but this can be done with fun size)
  • Paper towel
  • Printed handout
  • Markers ACTIVITY PROCEDURES:
  1. Introduce the activity to students. Have each student write down a hypothesis. Hypothesis examples could include answering: Will one color be the most predominant? Will the color green be found more or less than 16% of the packages? What colors will be the most or least frequently found in the packages?
  2. Have each student open their package of M&M’s and begin counting the colors of the individual candies on the paper towel. No eat- ing the M&M’s for now — but have students wash their hands if they plan to eat the candy afterward. Have students tally their results on the printed handout. a. If students are working with fun-size packages, pair them up into groups of three or four and have them tally their results together.
  3. Complete the handout by finding the frequency of each of the M&M’s colors. To find the frequency, divide the number of each color by the number of M&M’s.
  4. Have each student use the back of the handout to create a bar or pie chart of their results.
  5. Bring class together to report and discuss results. DISCUSSION AREA AND QUESTIONS:
  • Were any bags of M&M’s or groups off target compared to the rest of the class?
  • Configure all data to make one large data set. Compare those statistics with the Mars Inc. claim about green M&M’s.
  • Based on the data we have found today, does the data match up with the Mars Inc. claim about green M&M’s?
  • How did your personal hypotheses match up with what you found?
  • How do companies use data for marketing purposes? What are the advantages and disadvantages of this? Adapted from Patricia Michno, WSU Mike Ilitch School of Business

M&M’S PROBABILITY AND STATISTICS

STUDENT NAME:

STUDENT HYPOTHESIS:

CHART FOR M&M’S COLORS:

TOTAL NUMBER OF M&M’S IN PACKAGE:

OBSERVED COUNTS: Brown Blue Orange Green Red Yellow

FREQUENCY: