You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.
For 6 7 7 12 12 11 9 9 8 4 6 13 14: σ=3.0947
mean | 30 median | 18 standard deviation | 35.496
Standard deviation = sqrt(variance) Variance = E[X2] - E[X]2 E[X] = sum(X)/n = 35/9, so E[X]2 = 1225/81 E[X2] = sum(X2)/n = 189/9 = 1701/81 Variance = 476/81 Standard deviation = sqrt(476/81) ~ 2.42
It is 0.7
It is approx 2.828
Variance = 17.9047619 Standard Deviation = 4.23140188
5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.
σ=2.49
You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.
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
Variance = 2.87 (approx).
It is 2.61, approx.
The range is 9 and 3.01 is the standard deviation.
(15/sqroot(9))=5 So it is 5
Standard deviation is the square root of the sum of the squares of the deviations of each item from the mean, i.e. the square root of the variance. In order to increase the standard deviation, therefore, you need to increase the average deviation from the mean. There are many ways to do this. One is to move each item further away from the mean. For example, take the set [2, 4, 4, 4, 5, 5, 7, 9]. It has a mean of 5 and a standard deviation of 2.14. Multiply each item by 2.2 and subtract 5, giving the set [-1.3, 2.9, 2.9, 2.9, 5, 5, 9.2, 13.4], effectively moving each item 10% further away from the mean. This still has a mean of 5, but the standard deviation is 4.49.
A standard deviation is a statistical measure of the variation there in a population or group. A standard deviation of 1 means that 68% of the members of the population are withing plus or minus the value of the standard deviation from the average. For example: assume the average height of men is 5 feet 9 inches, and the standard deviation is three inches. Then 68% of all men are between 5' 6" and 6' which is 5'9" plus or minus 3 inches. [Note: this is only to illustrate and is not intended to be a real/correct statistic of men's heights.]