DOGS
The following is a list of ten dogs I choose that will be released into the North Pole. I have put them in order from lightest to heaviest and marked the Minimum, 1st Quartile, Median, 3rd Quartile and maximum.Pagoda 8 lbs MIN
Gummy 10 lbs
Hawk 12 lbs Q1
Unitas 17 lbs
Hayden 19 lbs
19.52 lbs MEDIAN
Dorsett 20.06 lbs
Jarvis 22.81 lbs
Kuzco 40 lbs Q3
Pelican 42.12 lbs
Chiarina 46.5 lbs MAX
MAX: 46.5
MIN: 8
RANGE: 38.5
MEAN: 22.748
MEDIAN: 19.52
MODE: NO MODE
X
|
x̄
|
(X-x̄)
|
(X-x̄)2
|
8
|
23.74
|
-15.74
|
247.74
|
10
|
23.74
|
-13.74
|
188.78
|
12
|
23.74
|
-11.74
|
137.82
|
17
|
23.74
|
-6.74
|
45.42
|
19
|
23.74
|
-4.74
|
22.46
|
20.06
|
23.74
|
-3.68
|
13.54
|
22.8
|
23.74
|
-0.94
|
0.88
|
40
|
23.74
|
16.26
|
264.38
|
42.12
|
23.74
|
18.38
|
337.82
|
46.5
|
23.74
|
22.76
|
518.01
|
247.74 + 188.78 + 137.82 + 45.42 + 22.46 + 13.54 + 0.88 + 264.38 +3 37.82 + 518.01 = 1776.85
1776.85 / 9 = 197.42
√197.42
Standard Deviation= 14.05
Since this set of animals has a standard deviation of around 14, this means that the whole group is 14.05.
When we choose animals from a group, I choose dogs for my animal. We had to choose 3 out of 10 who we think will survive in the new environment and pass on their genetic traits. The are two ways for choosing them for the North Pole. The first is Combination. A combination is where order does not matter. Another way is Permutation, which is where order does matter.
10 C 3
10, 9, 8, 7, 6, 5, 4, 3, 2, 1
5x3x8= 120
This means that there are 120 way they can go in no matter what order.
10 P 3
10, 9, 8, 7, 6, 5, 4, 3, 2, 1
10x9x8= 720
This means that there are 720 they can go in where order does matter.
For my animals being put in the North Pole, it will be a combination because it doesn't matter how or where you put them in, there will still be a group of three out of ten.
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