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5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms?

5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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--- ### Analyzing M&M Color Distribution - Educational Activity #### Page 1/4 **Task 1: Bag of M&M's Color Count** Suppose you open a bag of M&M’s and count the number of M&M's you have of each color. Suppose there were the following: - Qty 10 blue - Qty 8 orange - Qty 4 yellow - Qty 3 green - Qty 5 brown - Qty 3 red The total number of M&M's is 33. **Task 2: Proportional Calculation** Calculate the proportion of each color (round to 3 decimals). Please show the calculation and answer in the proportion cell of the table. Example: Calculation for one of the colors, 21/57 = .368. | Color | Proportion | |--------|--------------| | Blue | 10/33 = .303 | | Orange | 8/33 = .242 | | Yellow | 4/33 = .121 | | Green | 3/33 = .091 | | Brown | 5/33 = .152 | | Red | 3/33 = .091 | #### Page 2/4 **Task 3: Combining Class Data** Suppose the entire class puts all the M&M's together on the table and the following occurred: - Qty 42 blue - Qty 45 orange - Qty 33 yellow - Qty 25 green - Qty 10 brown - Qty 22 red The entire class population is 177 M&M's. **Task 4: Class Proportional Calculation** For the entire class, calculate the proportion of each color (round to 3 decimals). Please show the calculation and answer in the proportion cell of the table. Example: Calculation for one of the colors, 21/57 = .368. | Color | Proportion | |--------|--------------| | Blue | 42/177 = .237 | | Orange | 45/177 = .254 | | Yellow | 33/177 = .186 | | Green | 25/177 = .141 | | Brown | 10/177 = .056 | | Red | 22/177 = .124 | **Task 5: Drawing Conclusions** What conclusions can you draw from the data gathered from one small bag compared
Transcribed Image Text:--- ### Analyzing M&M Color Distribution - Educational Activity #### Page 1/4 **Task 1: Bag of M&M's Color Count** Suppose you open a bag of M&M’s and count the number of M&M's you have of each color. Suppose there were the following: - Qty 10 blue - Qty 8 orange - Qty 4 yellow - Qty 3 green - Qty 5 brown - Qty 3 red The total number of M&M's is 33. **Task 2: Proportional Calculation** Calculate the proportion of each color (round to 3 decimals). Please show the calculation and answer in the proportion cell of the table. Example: Calculation for one of the colors, 21/57 = .368. | Color | Proportion | |--------|--------------| | Blue | 10/33 = .303 | | Orange | 8/33 = .242 | | Yellow | 4/33 = .121 | | Green | 3/33 = .091 | | Brown | 5/33 = .152 | | Red | 3/33 = .091 | #### Page 2/4 **Task 3: Combining Class Data** Suppose the entire class puts all the M&M's together on the table and the following occurred: - Qty 42 blue - Qty 45 orange - Qty 33 yellow - Qty 25 green - Qty 10 brown - Qty 22 red The entire class population is 177 M&M's. **Task 4: Class Proportional Calculation** For the entire class, calculate the proportion of each color (round to 3 decimals). Please show the calculation and answer in the proportion cell of the table. Example: Calculation for one of the colors, 21/57 = .368. | Color | Proportion | |--------|--------------| | Blue | 42/177 = .237 | | Orange | 45/177 = .254 | | Yellow | 33/177 = .186 | | Green | 25/177 = .141 | | Brown | 10/177 = .056 | | Red | 22/177 = .124 | **Task 5: Drawing Conclusions** What conclusions can you draw from the data gathered from one small bag compared
**Page 3/4** 6. **A 5-pound bulk bag of M&Ms holds approximately 2900 pieces. How many of each color should we expect to find in the bag based on the results of the proportions from the entire class?** (approximate number of each color to be rounded to the nearest whole M&M) please show calculation and answer in Approximate number of M&Ms cell of table example 2900*0.368 = 1067 | Color | Approximate number of M&Ms | |--------|----------------------------| | Blue | 2900*0.237 = 687.3 ≈ 687 | | Orange | 2900*0.254 = 736.6 ≈ 737 | | Yellow | 2900*0.186 = 539.4 ≈ 539 | | Green | 2900*0.141 = 408.9 ≈ 409 | | Brown | 2900*0.056 = 162.4 ≈ 162 | | Red | 2900*0.124 = 359.6 ≈ 360 | 7. **A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class?** Round to nearest whole M&M. Show calculation and answer. 8. **According to Mars, the makers of M&Ms, their factory produces 25% blue, 25% orange, and 12.5% for each of the remaining colors. How do the observed values based on the entire class compare to these?** 9. **What are some of the reasons why our bags would differ from the expected distribution?** 10. **Why would Mars not put equal amounts of each color in every bag?** --- For educational purposes, the above transcriptions facilitate understanding of statistical calculations and real-world applications. The table provides a clear breakdown of the expected number of M&Ms per color based on class-provided proportions, demonstrating both the calculation method and rounding to the nearest whole number. Additionally, the listed questions promote deeper engagement with the material, encouraging students to think critically about probability, manufacturing processes, and real-world discrepancies in data distribution.
Transcribed Image Text:**Page 3/4** 6. **A 5-pound bulk bag of M&Ms holds approximately 2900 pieces. How many of each color should we expect to find in the bag based on the results of the proportions from the entire class?** (approximate number of each color to be rounded to the nearest whole M&M) please show calculation and answer in Approximate number of M&Ms cell of table example 2900*0.368 = 1067 | Color | Approximate number of M&Ms | |--------|----------------------------| | Blue | 2900*0.237 = 687.3 ≈ 687 | | Orange | 2900*0.254 = 736.6 ≈ 737 | | Yellow | 2900*0.186 = 539.4 ≈ 539 | | Green | 2900*0.141 = 408.9 ≈ 409 | | Brown | 2900*0.056 = 162.4 ≈ 162 | | Red | 2900*0.124 = 359.6 ≈ 360 | 7. **A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class?** Round to nearest whole M&M. Show calculation and answer. 8. **According to Mars, the makers of M&Ms, their factory produces 25% blue, 25% orange, and 12.5% for each of the remaining colors. How do the observed values based on the entire class compare to these?** 9. **What are some of the reasons why our bags would differ from the expected distribution?** 10. **Why would Mars not put equal amounts of each color in every bag?** --- For educational purposes, the above transcriptions facilitate understanding of statistical calculations and real-world applications. The table provides a clear breakdown of the expected number of M&Ms per color based on class-provided proportions, demonstrating both the calculation method and rounding to the nearest whole number. Additionally, the listed questions promote deeper engagement with the material, encouraging students to think critically about probability, manufacturing processes, and real-world discrepancies in data distribution.
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