Unbelievable facts 1: M&M's

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M&M's are peanuts surrounded by something which looks like painted chocolate. They appear in 5 different colours: red, brown, green, blue and yellow. They're sold in pack's of different sizes: 45g, 200g or 400g.


If you've understood my explanations about M&M's, it's time for the REAL problem: how heavy is an M&M's? How many yellow ones are there (proportionnally)?

Results


Here are the results of my study:

weight red brown green blue yellow total
200g 17 21 16 20 12 86
200g 17 21 16 17 15 86
200g 20 18 7 20 21 87
200g 16 15 17 18 26 92
200g 22 16 17 17 15 87
45g 5 5 5 3 2 20
45g 4 5 2 4 4 19
45g 0 1 7 7 6 21
45g 4 7 4 2 4 21
45g 3 4 4 5 5 21
45g 2 7 2 6 4 21
45g 4 4 4 6 4 22
45g 4 7 3 6 2 22
45g 2 5 5 6 2 20
45g 6 1 2 6 5 20
45g 5 7 2 5 2 21
45g 2 2 10 3 5 22
45g 8 4 3 2 5 22
45g 4 8 6 2 1 21
45g 7 3 2 7 4 23
45g 8 4 4 3 1 20
45g 3 4 5 5 5 22
45g 4 5 2 7 3 21
45g 4 3 3 5 6 21
45g 2 4 8 3 3 20
45g 4 2 9 2 4 21
45g 5 5 6 5 1 22
45g 5 3 4 6 3 21
200g 17 18 13 23 18 89
200g 26 21 16 17 18 98
200g 17 22 21 16 21 97
200g 26 14 15 24 19 98
------------------------------------------------------------------------------------
2835g 273 266 240 279 246 1304

Statistics

PROCEEDINGS

For the 'work-out', I divided the total of every pack by its mass (I assume, quite wrongly I'm afraid, that the mass given on the pack is perfectly true): The result is a list of numbers which can be compared, because they represent the proportional quantity of M&M's, and not the absolute quantity. Of course, for the mean weight of one M&M's, it's enough to divide the total mass (2835g) by the number of M&M's I've eaten these last 4 months (1304): you'll get 2,174g/M&M's, but you won't get the variance, and other useful things...


If you have a scientific calculator (like mine) (you don't need a big one...), select the mode 'STATISTICS' and insert the list like that:


enter 45 times the totals of the 45g-packs divided by 45 and 200 times the totals of the 200g-packs divided by 200; on my Casio, this would be:



0,43 [ = 86/200] | x | 200 | M+ |


(........)


0,4444444 [ = 20/45] | x | 45 | M+ |


(........)



NOT FINISHED YET


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