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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)
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What is the standard deviation when mean is 64 and variance is 36?
Standard deviation is the square root of the variance. Therefore, the standard deviation is the sqrt 36 or 6.
What does it mean when the standard deviation is 1?
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.]
Set of 25 numbers has standard deviation 6 then it's variance is?
Square the standard deviation to obtain the variance. The variance is 62 or 36.
What is the formula for calculating variance and standard deviation?
b-a/6
If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?
This would increase the mean by 6 points but would not change the standard deviation.
