m&m statistics
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What is in your m&m bag?
m&m Statistics•What was our original sample? • Our original sample was the 10 m&m’s we
gathered at the beginning.
•What was our population?• Our population was the entire m&m bag.
•To gain the most accurate results, would you rather have a large sample or small sample?• A large sample
m&m Statistics•Do you think each bag of m&m’s has the same number of m&m’s?
•Let’s find out!
Our class results…Classmate Number of
m&ms
David 403
Rebecca 397
Alejandra 404
Kaitlyn 412
Lenar 258
Jordan 417
Alex 384
Classmate Number of m&ms
Brandon 400
Sequoiya 408
Peyton 409
Erik 416
Malik 388
Hunter 407
Chase 440
Measures of center•Mean (average)
14
5543
14
440407388416409408400384417258412404397403
93.395
396
Measures of center•Mode•None•Median - Put the numbers in order
• Find the average of 404 and 407.
•258•384•388•397•400
•403•404•407•408•409
•412•416•417•440
2
407404 4065.405
Measures of center•Mean• 396•Mode•None•Median • 406
•Which measure of center is most accurate?
Display our data
•How can we share our data?
Make a Table•Using Excel, create a table that shows the totals number of m&m’s in every bag.
Make a Graph•Using Excel, create a bar graph that shows the totals number of m&m’s in every bag.
David
Rebecc
a
Alejan
dra
Kaitlyn
Lenar
Jordan Alex
Brandon
Sequoiya
Peyton
Erik
Malik
HunterChase
0
50
100
150
200
250
300
350
400
450
Number of m&ms per student
Student
Num
ber o
f m&
m's
Other ideas for graphs?
Blue23%
Brown11%
Green21%
Orange22%
Red11%
Yellow13%
Class Average of Color Percentages per bag
Blue Brown Green Orange Red Yellow0
102030405060708090
100
Class Average ofnumber of m&ms per bag
Colors
Num
ber o
f m&
m's
What is in your m&m bag?
How do our results compare?m&m Color Class Average Report from
Mars Chocolate
Blue 23% 24%
Brown 11% 13%
Green 21% 16%
Orange 22% 20%
Red 10% 13%
Yellow 13% 14%
How does Mars Chocolate determine the color distribution? •“Our color blends were selected by conducting consumer preference tests, which indicate the assortment of colors that pleased the greatest number of people and created the most attractive overall effect.”
•“Each large production batch is blended to those ratios and mixed thoroughly. However, since the individual packages are filled by weight on high-speed equipment, and not by count, it is possible to have an unusual color distribution.”
•Interesting fact: The color distributions differ between bags of milk chocolate, peanut, peanut butter, dark chocolate, almond, and minis.