2√(17/21), or about 1.8.
For 6 7 7 12 12 11 9 9 8 4 6 13 14: σ=3.0947
For 3 5 8 7 2 4 6: σ=2.1602
For 2 4 5 6 8: σ=2.2361
To calculate variance, (population standard deviation squared), usually written as σ2, first find the mean. In this case, ( 3 + 5 + 6 + 4 + 7 + 7 +8 ) / 7 = 40/7 ≈ 5.7143 Then find the difference between every number and the mean. 5.7143 - 3 = 2.7143 5.7143 - 5 = 0.7143 5.7143 - 6 = -0.2857 5.7143 - 4 = 1.7143 5.7143 - 7 = -1.2857 5.7143 - 7 = -1.2857 5.7143 - 8 = -2.2857 Then square all of the differences. 7.3674 0.5102 0.0816 2.9388 1.6530 1.6530 5.2244 Then add the products together. 19.4284 Then divide by the number of numbers in the set of data (7) for the variance. σ2 ≈ 2.78 Since you are using the entire population, you use the population standard deviation instead of the sample standard deviation. In statistics, you are more likely to see sample standard deviation, but since there are only seven numbers in the data set, we use the population standard deviation.
2√(17/21), or about 1.8.
It is 2.61, approx.
For 6 7 7 12 12 11 9 9 8 4 6 13 14: σ=3.0947
For 3 5 8 7 2 4 6: σ=2.1602
7.087547766 is the standard deviation for those figures.
For 2 4 5 6 8: σ=2.2361
mean =(5+9+10+2+7+9+14)/7=8 s^2 = Variance = (1/7){(5-8)^2+(9-8)^2+(10-8)^2+(2-6)^2+(7-8)^2+(9-8)^2+(14-8)^2}=14.6666 Standard deviation =s= sqrt(14.6666)=3.8297
To calculate variance, (population standard deviation squared), usually written as σ2, first find the mean. In this case, ( 3 + 5 + 6 + 4 + 7 + 7 +8 ) / 7 = 40/7 ≈ 5.7143 Then find the difference between every number and the mean. 5.7143 - 3 = 2.7143 5.7143 - 5 = 0.7143 5.7143 - 6 = -0.2857 5.7143 - 4 = 1.7143 5.7143 - 7 = -1.2857 5.7143 - 7 = -1.2857 5.7143 - 8 = -2.2857 Then square all of the differences. 7.3674 0.5102 0.0816 2.9388 1.6530 1.6530 5.2244 Then add the products together. 19.4284 Then divide by the number of numbers in the set of data (7) for the variance. σ2 ≈ 2.78 Since you are using the entire population, you use the population standard deviation instead of the sample standard deviation. In statistics, you are more likely to see sample standard deviation, but since there are only seven numbers in the data set, we use the population standard deviation.
5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.
It is 1.8
The standard deviation of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 is approximately 2.87. So, if you're into numbers, that's the magic number you're looking for. But hey, don't stress about it too much, just know that's the spread of those digits.
The mean is the average of the numbers in your results. For example if your results are 7, 3 and 14, then your mean is 8. Numerically, (7+3+14)/3 The standard deviation measures how widely spread the values in a data set are.