I need to calculate the standard deviation for these numbrs:
-12
-3
0
-13
8
-6
0
-22
-1
7
-7
1
-2
-13
-4
0
-6
-4
-10
3
I did everything, but still my answer is different from the online standard deviation calculator, even though i tried many online calculator.
I will state my steps, and please help me to find if there is any mistake:
The mean
it is -4.2
The difference from the mean
-7.8
1.2
4.2
-8.8
12.2
-1.8
4.2
-17.8
3.2
11.2
-2.8
5.2
2.2
-8.8
0.2
4.2
-1.8
0.2
-5.8
7.2
Power the difference from the mean
60.84
1.44
17.64
77.44
148.84
3.24
17.64
316.84
10.24
125.44
7.84
27.04
4.84
77.44
0.04
17.64
3.24
0.04
33.64
51.84
Calculate the variance
56.34
Sqrt the variance
7.505997602
it seems that the difference is in the variance,
Test your sum of square $ s = 60.84 + \dots 51.84$. I get it as $s = 1003.20$. Then depending of the standard deviation type you get for the sample std. dev. $$\sigma_s = \sqrt{s/19} = 7.26636$$ or the population std. dev. $$\sigma_p = \sqrt{s/20} = 7.08237$$