M&M’s Color Distribution Analysis Individual Pack Data

Sunday, December 2, 2007 at 3:10pm By

Below is the individual sample pack findings of M&M Color Distribution Analysis.

Pack # 1
56 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
23.21%
12.50%
21.43%
16.07%
12.50%
14.29%
Qty observed
13
7
12
9
7
8
Qty expected
13
7
9
11
7
8
Diff from expected
0
0
+3
-2
0
0
Diff from average
+3
-1
+2
-2
-1
0
This pack had 1 M&M(s) more than the rounded average of 55 per pack.
Pack # 2
53 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
15.09%
5.66%
24.53%
24.53%
18.87%
11.32%
Qty observed
8
3
13
13
10
6
Qty expected
13
7
8
11
7
7
Diff from expected
-5
-4
+5
+2
+3
-1
Diff from average
-2
-5
+3
+2
+2
-2
This pack had 2 M&M(s) less than the rounded average of 55 per pack.
Pack # 3
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.81%
18.52%
20.37%
18.52%
9.26%
18.52%
Qty observed
8
10
11
10
5
10
Qty expected
13
7
9
11
7
8
Diff from expected
-5
+3
+2
-1
-2
+2
Diff from average
-2
+2
+1
-1
-3
+2
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 4
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
25.93%
7.41%
11.11%
25.93%
12.96%
16.67%
Qty observed
14
4
6
14
7
9
Qty expected
13
7
9
11
7
8
Diff from expected
+1
-3
-3
+3
0
+1
Diff from average
+4
-4
-4
+3
-1
+1
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 5
52 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
11.54%
15.38%
19.23%
23.08%
15.38%
15.38%
Qty observed
6
8
10
12
8
8
Qty expected
12
7
8
10
7
7
Diff from expected
-6
+1
+2
+2
+1
+1
Diff from average
-4
0
0
+1
0
0
This pack had 3 M&M(s) less than the rounded average of 55 per pack.
Pack # 6
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
12.73%
20.00%
23.64%
12.73%
7.27%
23.64%
Qty observed
7
11
13
7
4
13
Qty expected
13
7
9
11
7
8
Diff from expected
-6
+4
+4
-4
-3
+5
Diff from average
-3
+3
+3
-4
-4
+5
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 7
52 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
15.38%
13.46%
25.00%
15.38%
13.46%
17.31%
Qty observed
8
7
13
8
7
9
Qty expected
12
7
8
10
7
7
Diff from expected
-4
0
+5
-2
0
+2
Diff from average
-2
-1
+3
-3
-1
+1
This pack had 3 M&M(s) less than the rounded average of 55 per pack.
Pack # 8
53 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
22.64%
18.87%
11.32%
15.09%
15.09%
16.98%
Qty observed
12
10
6
8
8
9
Qty expected
13
7
8
11
7
7
Diff from expected
-1
+3
-2
-3
+1
+2
Diff from average
+2
+2
-4
-3
0
+1
This pack had 2 M&M(s) less than the rounded average of 55 per pack.
Pack # 9
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
10.91%
16.36%
21.82%
25.45%
14.55%
10.91%
Qty observed
6
9
12
14
8
6
Qty expected
13
7
9
11
7
8
Diff from expected
-7
+2
+3
+3
+1
-2
Diff from average
-4
+1
+2
+3
0
-2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 10
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
12.73%
14.55%
21.82%
18.18%
20.00%
12.73%
Qty observed
7
8
12
10
11
7
Qty expected
13
7
9
11
7
8
Diff from expected
-6
+1
+3
-1
+4
-1
Diff from average
-3
0
+2
-1
+3
-1
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 11
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
29.63%
18.52%
14.81%
14.81%
16.67%
5.56%
Qty observed
16
10
8
8
9
3
Qty expected
13
7
9
11
7
8
Diff from expected
+3
+3
-1
-3
+2
-5
Diff from average
+6
+2
-2
-3
+1
-5
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 12
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
25.93%
12.96%
24.07%
18.52%
3.70%
14.81%
Qty observed
14
7
13
10
2
8
Qty expected
13
7
9
11
7
8
Diff from expected
+1
0
+4
-1
-5
0
Diff from average
+4
-1
+3
-1
-6
0
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 13
52 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
25.00%
7.69%
17.31%
15.38%
23.08%
11.54%
Qty observed
13
4
9
8
12
6
Qty expected
12
7
8
10
7
7
Diff from expected
+1
-3
+1
-2
+5
-1
Diff from average
+3
-4
-1
-3
+4
-2
This pack had 3 M&M(s) less than the rounded average of 55 per pack.
Pack # 14
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
20.00%
10.91%
14.55%
20.00%
16.36%
18.18%
Qty observed
11
6
8
11
9
10
Qty expected
13
7
9
11
7
8
Diff from expected
-2
-1
-1
0
+2
+2
Diff from average
+1
-2
-2
0
+1
+2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 15
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
21.82%
21.82%
16.36%
14.55%
18.18%
7.27%
Qty observed
12
12
9
8
10
4
Qty expected
13
7
9
11
7
8
Diff from expected
-1
+5
0
-3
+3
-4
Diff from average
+2
+4
-1
-3
+2
-4
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 16
53 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
15.09%
11.32%
18.87%
26.42%
11.32%
16.98%
Qty observed
8
6
10
14
6
9
Qty expected
13
7
8
11
7
7
Diff from expected
-5
-1
+2
+3
-1
+2
Diff from average
-2
-2
0
+3
-2
+1
This pack had 2 M&M(s) less than the rounded average of 55 per pack.
Pack # 17
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
25.45%
14.55%
10.91%
20.00%
10.91%
18.18%
Qty observed
14
8
6
11
6
10
Qty expected
13
7
9
11
7
8
Diff from expected
+1
+1
-3
0
-1
+2
Diff from average
+4
0
-4
0
-2
+2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 18
56 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
21.43%
12.50%
16.07%
26.79%
14.29%
8.93%
Qty observed
12
7
9
15
8
5
Qty expected
13
7
9
11
7
8
Diff from expected
-1
0
0
+4
+1
-3
Diff from average
+2
-1
-1
+4
0
-3
This pack had 1 M&M(s) more than the rounded average of 55 per pack.
Pack # 19
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
24.07%
12.96%
9.26%
20.37%
7.41%
25.93%
Qty observed
13
7
5
11
4
14
Qty expected
13
7
9
11
7
8
Diff from expected
0
0
-4
0
-3
+6
Diff from average
+3
-1
-5
0
-4
+6
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 20
57 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
21.05%
14.04%
21.05%
14.04%
14.04%
15.79%
Qty observed
12
8
12
8
8
9
Qty expected
14
7
9
11
7
8
Diff from expected
-2
+1
+3
-3
+1
+1
Diff from average
+2
0
+2
-3
0
+1
This pack had 2 M&M(s) more than the rounded average of 55 per pack.
Pack # 21
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
12.73%
16.36%
30.91%
21.82%
10.91%
7.27%
Qty observed
7
9
17
12
6
4
Qty expected
13
7
9
11
7
8
Diff from expected
-6
+2
+8
+1
-1
-4
Diff from average
-3
+1
+7
+1
-2
-4
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 22
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
20.37%
14.81%
16.67%
18.52%
14.81%
14.81%
Qty observed
11
8
9
10
8
8
Qty expected
13
7
9
11
7
8
Diff from expected
-2
+1
0
-1
+1
0
Diff from average
+1
0
-1
-1
0
0
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 23
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
18.18%
7.27%
21.82%
30.91%
12.73%
9.09%
Qty observed
10
4
12
17
7
5
Qty expected
13
7
9
11
7
8
Diff from expected
-3
-3
+3
+6
0
-3
Diff from average
0
-4
+2
+6
-1
-3
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 24
57 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
19.30%
19.30%
17.54%
17.54%
7.02%
19.30%
Qty observed
11
11
10
10
4
11
Qty expected
14
7
9
11
7
8
Diff from expected
-3
+4
+1
-1
-3
+3
Diff from average
+1
+3
0
-1
-4
+3
This pack had 2 M&M(s) more than the rounded average of 55 per pack.
Pack # 25
53 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
18.87%
15.09%
24.53%
20.75%
9.43%
11.32%
Qty observed
10
8
13
11
5
6
Qty expected
13
7
8
11
7
7
Diff from expected
-3
+1
+5
0
-2
-1
Diff from average
0
0
+3
0
-3
-2
This pack had 2 M&M(s) less than the rounded average of 55 per pack.
Pack # 26
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
12.96%
14.81%
18.52%
20.37%
22.22%
11.11%
Qty observed
7
8
10
11
12
6
Qty expected
13
7
9
11
7
8
Diff from expected
-6
+1
+1
0
+5
-2
Diff from average
-3
0
0
0
+4
-2
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 27
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
11.11%
9.26%
16.67%
25.93%
22.22%
14.81%
Qty observed
6
5
9
14
12
8
Qty expected
13
7
9
11
7
8
Diff from expected
-7
-2
0
+3
+5
0
Diff from average
-4
-3
-1
+3
+4
0
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 28
57 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.04%
17.54%
10.53%
17.54%
19.30%
21.05%
Qty observed
8
10
6
10
11
12
Qty expected
14
7
9
11
7
8
Diff from expected
-6
+3
-3
-1
+4
+4
Diff from average
-2
+2
-4
-1
+3
+4
This pack had 2 M&M(s) more than the rounded average of 55 per pack.
Pack # 29
56 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
19.64%
12.50%
14.29%
17.86%
21.43%
14.29%
Qty observed
11
7
8
10
12
8
Qty expected
13
7
9
11
7
8
Diff from expected
-2
0
-1
-1
+5
0
Diff from average
+1
-1
-2
-1
+4
0
This pack had 1 M&M(s) more than the rounded average of 55 per pack.
Pack # 30
57 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
8.77%
15.79%
17.54%
26.32%
12.28%
19.30%
Qty observed
5
9
10
15
7
11
Qty expected
14
7
9
11
7
8
Diff from expected
-9
+2
+1
+4
0
+3
Diff from average
-5
+1
0
+4
-1
+3
This pack had 2 M&M(s) more than the rounded average of 55 per pack.
Pack # 31
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.55%
12.73%
29.09%
16.36%
9.09%
18.18%
Qty observed
8
7
16
9
5
10
Qty expected
13
7
9
11
7
8
Diff from expected
-5
0
+7
-2
-2
+2
Diff from average
-2
-1
+6
-2
-3
+2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 32
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
24.07%
14.81%
12.96%
20.37%
18.52%
9.26%
Qty observed
13
8
7
11
10
5
Qty expected
13
7
9
11
7
8
Diff from expected
0
+1
-2
0
+3
-3
Diff from average
+3
0
-3
0
+2
-3
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 33
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
20.37%
14.81%
9.26%
31.48%
14.81%
9.26%
Qty observed
11
8
5
17
8
5
Qty expected
13
7
9
11
7
8
Diff from expected
-2
+1
-4
+6
+1
-3
Diff from average
+1
0
-5
+6
0
-3
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 34
57 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
12.28%
14.04%
15.79%
19.30%
19.30%
19.30%
Qty observed
7
8
9
11
11
11
Qty expected
14
7
9
11
7
8
Diff from expected
-7
+1
0
0
+4
+3
Diff from average
-3
0
-1
0
+3
+3
This pack had 2 M&M(s) more than the rounded average of 55 per pack.
Pack # 35
56 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.29%
16.07%
16.07%
21.43%
16.07%
16.07%
Qty observed
8
9
9
12
9
9
Qty expected
13
7
9
11
7
8
Diff from expected
-5
+2
0
+1
+2
+1
Diff from average
-2
+1
-1
+1
+1
+1
This pack had 1 M&M(s) more than the rounded average of 55 per pack.
Pack # 36
56 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.29%
21.43%
16.07%
25.00%
10.71%
12.50%
Qty observed
8
12
9
14
6
7
Qty expected
13
7
9
11
7
8
Diff from expected
-5
+5
0
+3
-1
-1
Diff from average
-2
+4
-1
+3
-2
-1
This pack had 1 M&M(s) more than the rounded average of 55 per pack.
Pack # 37
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
27.27%
5.45%
20.00%
25.45%
3.64%
18.18%
Qty observed
15
3
11
14
2
10
Qty expected
13
7
9
11
7
8
Diff from expected
+2
-4
+2
+3
-5
+2
Diff from average
+5
-5
+1
+3
-6
+2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 38
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
12.73%
21.82%
21.82%
16.36%
18.18%
9.09%
Qty observed
7
12
12
9
10
5
Qty expected
13
7
9
11
7
8
Diff from expected
-6
+5
+3
-2
+3
-3
Diff from average
-3
+4
+2
-2
+2
-3
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 39
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
16.36%
9.09%
18.18%
20.00%
18.18%
18.18%
Qty observed
9
5
10
11
10
10
Qty expected
13
7
9
11
7
8
Diff from expected
-4
-2
+1
0
+3
+2
Diff from average
-1
-3
0
0
+2
+2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 40
53 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
24.53%
11.32%
22.64%
20.75%
16.98%
3.77%
Qty observed
13
6
12
11
9
2
Qty expected
13
7
8
11
7
7
Diff from expected
0
-1
+4
0
+2
-5
Diff from average
+3
-2
+2
0
+1
-6
This pack had 2 M&M(s) less than the rounded average of 55 per pack.
Pack # 41
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.55%
12.73%
16.36%
20.00%
20.00%
16.36%
Qty observed
8
7
9
11
11
9
Qty expected
13
7
9
11
7
8
Diff from expected
-5
0
0
0
+4
+1
Diff from average
-2
-1
-1
0
+3
+1
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 42
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
20.37%
14.81%
18.52%
31.48%
7.41%
7.41%
Qty observed
11
8
10
17
4
4
Qty expected
13
7
9
11
7
8
Diff from expected
-2
+1
+1
+6
-3
-4
Diff from average
+1
0
0
+6
-4
-4
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 43
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
14.81%
12.96%
24.07%
24.07%
12.96%
11.11%
Qty observed
8
7
13
13
7
6
Qty expected
13
7
9
11
7
8
Diff from expected
-5
0
+4
+2
0
-2
Diff from average
-2
-1
+3
+2
-1
-2
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 44
53 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
15.09%
16.98%
16.98%
24.53%
15.09%
11.32%
Qty observed
8
9
9
13
8
6
Qty expected
13
7
8
11
7
7
Diff from expected
-5
+2
+1
+2
+1
-1
Diff from average
-2
+1
-1
+2
0
-2
This pack had 2 M&M(s) less than the rounded average of 55 per pack.
Pack # 45
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
20.37%
16.67%
18.52%
18.52%
14.81%
11.11%
Qty observed
11
9
10
10
8
6
Qty expected
13
7
9
11
7
8
Diff from expected
-2
+2
+1
-1
+1
-2
Diff from average
+1
+1
0
-1
0
-2
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 46
54 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
16.67%
11.11%
18.52%
18.52%
16.67%
18.52%
Qty observed
9
6
10
10
9
10
Qty expected
13
7
9
11
7
8
Diff from expected
-4
-1
+1
-1
+2
+2
Diff from average
-1
-2
0
-1
+1
+2
This pack had 1 M&M(s) less than the rounded average of 55 per pack.
Pack # 47
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
23.64%
14.55%
20.00%
23.64%
7.27%
10.91%
Qty observed
13
8
11
13
4
6
Qty expected
13
7
9
11
7
8
Diff from expected
0
+1
+2
+2
-3
-2
Diff from average
+3
0
+1
+2
-4
-2
This pack was even with the rounded average of 55 M&M’s per pack.
Pack # 48
55 M&M’s
Blue
Brown
Green
Orange
Red
Yellow
Percent of Pack
25.45%
14.55%
18.18%
16.36%
14.55%
10.91%
Qty observed
14
8
10
9
8
6
Qty expected
13
7
9
11
7
8
Diff from expected
+1
+1
+1
-2
+1
-2
Diff from average
+4
0
0
-2
0
-2
This pack was even with the rounded average of 55 M&M’s per pack.

8 comments on ‘M&M’s Color Distribution Analysis Individual Pack Data’

  1. ljkwgre says:

    I thouroghly enjoyed these facts… that nobody cares about ! Like who would ever care about this stuff.

  2. Guest says:

    This was a great presentation! It really helped us in coming up with a strategy for our own statistics project. Great job!

  3. Guest says:

    excellent job. i love this :)

  4. Guest says:

    Thank u for this my teacher is now making us do statistics about this and i cant figure it out ! she wants to know how likely it would be that a new bag of m&m's would have the same distribution of colors as the avg. of the 21 other packs we opened???

  5. Bubblybubbles says:

    what about if a packet is consisting of the average amount, which is 78 here in Australia!

  6. who am i? says:

    WOW. THaTS COOL

  7. Bob says:

    I care about this stuff because of my class lol

Comments for this post have been closed.