2.738612788
First, find the mean (average) of all the numbers:
1+2+3+4+5+6+7+8+9 = 45
45 / 9 = 5
Mean is 5
Now take every number and calculate how far it is away from the mean, then square that number
1-5 = -4 ^2 = 16
2-5 = -3 ^2 = 9
3-5 = -2 ^2 = 4
4-5 = -1 ^2 = 1
5-5 = 0 ^2 = 0
6-5 = 1 ^2 = 1
7-5 = 2 ^2 = 4
8-5 = 3 ^2 = 9
9-5 = 4 ^2 = 16
Next, add all the results:
16+9+4+1+0+1+4+9+16 = 60
Then divide by the sample size minus 1 (n-1):
60 / 8 = 7.5
Finally, find the square root of that number:
7.5^ 0.5 = 2.738612788
Answer: 2.738612788
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