MTH105 Project #2 M&M Version A-1 (1)
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Eastern Gateway Community College *
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Course
105
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
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4
Uploaded by KidElectronGazelle13
M&M Distribution(A)
MTH105 Project
NAME Keaton Bascom
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
33 total
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
10/33=.303
Orange
8/33=.242
Yellow
4/33=.121
Green
3/33=.090
Brown
5/33=.151
Red
3/33=.090
1
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
177 total
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
42/177= .237
Orange
45/177= .254
Yellow
33/177= .186
Green
25/177= .141
Brown
10/177= .056
Red
22/177= .124
5.
What conclusions can you draw from the data gathered from one small bag compared to several
small bags of M&Ms?
Yellow and orange M&M’s are fairly consistent in their quantities varying from one small bag to several
small bags, yellow only differs by .65 and orange only differs by .12.
2
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
Orange
2900*0.254= 737
Yellow
2900*0.186= 539
Green
2900*0.141= 409
Brown
2900*0.056= 162
Red
2900*0.124= 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
82 blue pieces divided by 25% of blue pieces that mars manufactures gives us 82/0.25= 328 M&M’s in
the bag
3
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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?
yellow and green in our two charts accounts for more than 12.5% compared to brown and red,
who realistically do make up 12.5% more than yellow and green do.
9.
What are some of the reasons why our bags would differ from the expected distribution?
Distribution varies, it would be meticulous to intentionally put the exact same amount of colors into
every bag.
10.
Why would Mars not put equal amounts of each color in every bag?
That’s time consuming and painstaking.
4