Why would Mars not put equal amounts of each color in every bag?
M&M Distribution
MTH105 Project NAME _____________________________________________________________
Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer.
1. Suppose you open a bag of M&Ms and count the number of M&Ms 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
2. Calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368
Color Proportion
Blue
Orange
Yellow
Green
Brown
Red
3. Suppose the entire class put all the M&Ms together on the table and following occurred:
Qty 42 blue
Qty 45 orange
Qty 33 yellow
Qty 25 green
Qty 10 brown
Qty 22 red
4. For the entire class, calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368
Color Proportion
Blue
Orange
Yellow
Green
Brown
Red
5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms?
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
Orange
Yellow
Green
Brown
Red
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?
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