The
M&M Report
Problem:
Does every
1.69oz bag of plain M&M candies have the same amount of each color?
Materials:
·
Four 1.69oz bags of M&M milk chocolate candies
·
Computer
Observations:
I noticed that most of
the M&Ms had the didn’t have the same number of a
certain color in a different bag. In bag
1 and 3 there was the same number of blue M&Ms. In bag 2 and 3 there was the same number of
red and orange M&Ms, but all the other numbers were different.
|
Color |
Bag 1 |
Bag 2 |
Bag 3 |
Bag 4 |
|
|
|
|
|
|
|
Blue |
15 |
20 |
15 |
14 |
|
Red |
5 |
8 |
8 |
2 |
|
Yellow |
17 |
11 |
19 |
13 |
|
Brown |
7 |
9 |
3 |
8 |
|
|
4 |
6 |
6 |
8 |
|
Green |
9 |
6 |
7 |
12 |
|
Total |
57 |
60 |
58 |
57 |

I
learned that not every bag of 1.69oz plain M&M candies
have the same amount of each color. I
came to this conclusion because the data shows that there is a different amount
of candy sorted by color in each bag. I believe
M&Ms are sorted in a factory, then placed in bags.
They are not sorted by color to make sure that there is the same amount of each
color.
Math
Fun with M&Ms
Using Excel we found the mean for each color, the found the
median and mode. We went to the M&M web site and found a
chart that states what percent of each color is in a bag of M&Ms. We again used Excel to calculate the percents
in our bags and then found the mean, median and mode for the percents.
|
Color |
Bag 1 |
Bag 2 |
Bag 3 |
Bag 4 |
Mean |
Median |
Mode |
|
Blue |
15 |
20 |
15 |
14 |
16 |
15 |
15 |
|
Red |
5 |
8 |
8 |
2 |
5.75 |
5 |
8 |
|
Yellow |
17 |
11 |
19 |
13 |
15 |
15 |
none |
|
Brown |
7 |
9 |
3 |
8 |
6.75 |
7.5 |
none |
|
|
4 |
6 |
6 |
8 |
6 |
6 |
6 |
|
Green |
9 |
6 |
7 |
12 |
8.5 |
8 |
none |
|
|
|
|
|
|
|
|
|
|
Color |
Bag 1 |
Bag 2 |
Bag 3 |
Bag 4 |
|
|
|
|
Total |
57 |
60 |
58 |
57 |
Mean |
Median |
Mode |
|
% Blue |
26% |
33% |
26% |
25% |
28% |
26% |
26% |
|
% Red |
9% |
13% |
14% |
4% |
10% |
11% |
none |
|
% Yellow |
30% |
18% |
33% |
23% |
26% |
27% |
none |
|
% Brown |
12% |
15% |
5% |
14% |
12% |
13% |
none |
|
% |
7% |
10% |
10% |
14% |
10% |
10% |
10% |
|
% Green |
16% |
10% |
12% |
21% |
15% |
14% |
none |