m&m statistics

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What is in your m&m bag?

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Page 1: m&m Statistics

What is in your m&m bag?

Page 2: m&m Statistics

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

Page 3: m&m Statistics

m&m Statistics•Do you think each bag of m&m’s has the same number of m&m’s?

•Let’s find out!

Page 4: m&m Statistics

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

Page 5: m&m Statistics

Measures of center•Mean (average)

14

5543

14

440407388416409408400384417258412404397403

93.395

396

Page 6: m&m Statistics

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

Page 7: m&m Statistics

Measures of center•Mean• 396•Mode•None•Median • 406

•Which measure of center is most accurate?

Page 8: m&m Statistics

Display our data

•How can we share our data?

Page 9: m&m Statistics

Make a Table•Using Excel, create a table that shows the totals number of m&m’s in every bag.

Page 10: m&m Statistics

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

Page 11: m&m Statistics

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

Page 12: m&m Statistics

What is in your m&m bag?

Page 13: m&m Statistics

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%

Page 14: m&m Statistics

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.