Best Answer

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)

Study guides

☆☆

Q: What is the standard deviation of 3 6 and 12?

Write your answer...

Submit

Still have questions?

Continue Learning about Statistics

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.

Related questions

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.

The standard deviation of 2 3 5 6 = 1.8257

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.

2√(17/21), or about 1.8.

b-a/6

This would increase the mean by 6 points but would not change the standard deviation.

3.4163.4163.4163.416

7.087547766 is the standard deviation for those figures.

Variance = 2.87 (approx).

It is 7.062

People also asked

Featured Questions