M&M Spreadsheet Problem


Completed with Tyron Moen.
Name Blue Brown Green Orange Red Yellow Total Big Bag Total Mean/Average Mode Median Max Min Range
Dave 3 14 13 6 5 12 53 668 8.8 #N/A 9 14 3 11
Janet 13 7 6 18 5 5 54 681 9.0 5 7 18 5 13
Kim 7 12 11 3 3 18 54 681 9.0 3 9 18 3 15
Amy 10 11 13 1 4 16 55 693 9.2 #N/A 11 16 1 15
Doyle 9 11 12 6 6 11 55 693 9.2 11 10 12 6 6
Bryan 13 8 3 16 8 8 56 706 9.3 8 8 16 3 13
Dale 16 6 4 16 6 8 56 706 9.3 16 7 16 4 12
Simon 13 9 8 12 7 7 56 706 9.3 7 9 13 7 6
Tyrone 6 12 15 10 8 5 56 706 9.3 #N/A 9 15 5 10
Will 10 9 5 14 7 11 56 706 9.3 #N/A 10 14 5 9
Catherine 6 15 12 11 5 8 57 718 9.5 #N/A 10 15 5 10
Deana 9 6 8 11 13 10 57 718 9.5 #N/A 10 13 6 7
Jon 10 8 12 9 8 11 58 731 9.7 8 10 12 8 4
Matt 8 9 18 12 5 8 60 756 10.0 8 9 18 5 13
BB(MEDIAN) 120 113 145 139 76 113 706
Total 133 137 140 145 90 138 783 55.9
Mean 9.5 9.8 10.0 10.4 6.4 9.9 55.9
Mode 13.0 9.0 12.0 6.0 5.0 8.0
Median 9.5 9.0 11.5 11.0 6.0 9.0
Min 3 6 3 1 3 5
Max 16 15 18 18 13 18
Range 13 9 15 17 10 13

We were asked to estimate the number of each color of M&Ms and the total M&Ms in a bag weighing 21.3oz. We have
the above data for bags weighing 1.69oz to work with. So we set up a simple ratio using the Median of each color over
the weight of a small bag equal to the number of that color in a large bag over the weight of a large bag. Summing the big
bag color estimates that this produced we estimated that a big bag would have 706 M&Ms.

Thanks to Tyrone for generating and providing these graphs.

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updated 8-02-05 by Simon Goble