MTH105 Project

MTH105 Project   NAME _____________________________________________

M&M Distribution

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 8 blue

Qty 9 orange

Qty 3 yellow

Qty 2 green

Qty 6 brown

Qty 2 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

3.       Suppose the entire class put all the M&Ms together on the table and following occurred:

Qty 40 blue

Qty 48 orange

Qty  29 yellow

Qty 21 green

Qty 12 brown

Qty 19 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

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 2700 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 3200*.368 = 1178

7.       A bag of M&Ms is dumped on the table and you count 88 blue pieces.  Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class? 

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?