Answer is Square-root(14) or approximately +/-3.74.
Explanation:
To find the standard deviation, you must first find the mean of the population. In this case, the mean is (3+6+12)/3 = 21/3 = 7.
Then, we take the Square root of (average of the Squares of (mean - each number)).
= Square-root of ( [ (7-3)^2 + (7-6)^2 + (7-12)^2 ] / 3 )
= Square root of ( [ 16 + 1 + 25 ] / 3 )
= Square root of (42 / 3)
= Square root of (14)
Standard deviation is the square root of the variance. Therefore, the standard deviation is the sqrt 36 or 6.
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.]
Square the standard deviation to obtain the variance. The variance is 62 or 36.
b-a/6
This would increase the mean by 6 points but would not change the standard deviation.
The standard deviation of 2 3 5 6 = 1.8257
The standard deviation of 2 3 5 6 = 1.8257
Standard deviation is the square root of the variance. Therefore, the standard deviation is the sqrt 36 or 6.
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.]
2√(17/21), or about 1.8.
Square the standard deviation to obtain the variance. The variance is 62 or 36.
b-a/6
This would increase the mean by 6 points but would not change the standard deviation.
7.087547766 is the standard deviation for those figures.
For 6 7 7 12 12 11 9 9 8 4 6 13 14: σ=3.0947
3.4163.4163.4163.416
Variance = 2.87 (approx).