0
Use the computational formula to find the standard deviation of the following set of data 5 7 17 31 45 47 68 85 96 99?
Wiki User
∙ 8y ago
33.79
I used the formula SD = sq rt {Sigma[(x - mean)^2]/n} where sigma means the sum of; ^2 means squared.
Firstly, find the mean of the data = 50.
Subtract each term separately from the mean and square it.
Add these 10 terms and it comes to 11424
Divide by the number of terms, 10 = 1142.4
Then find the sq rt = 33.79.
Wiki User
∙ 8y ago
Add your answer:
Earn +20 pts
Why does the formula for standard deviation have a square root in it?
The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2). Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.
Can the standard deviation or variance be negative?
No, a standard deviation or variance does not have a negative sign. The reason for this is that the deviations from the mean are squared in the formula. Deviations are squared to get rid of signs. In Absolute mean deviation, sum of the deviations is taken ignoring the signs, but there is no justification for doing so. (deviations are not squared here)
How can you convert standard deviation into percentage?
There must be a formula, but in the mean time there is a handy site that does it for you. [See related link below for the converter]
What must be done to a normal curve to make it into a standard normal distribution curve?
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
Formula of quartile deviation?
Q3-q1
What is the formula for standard deviation?
Standard deviation is a way to describe how the data is distributed around the Arithmatic Mean. It is not a simple formula to calculate, as shown in the links.
What is the formula for a weighted standard deviation?
Arithmatic Mean
Standard deviation formula?
%E= d/L
What is the formula for calculating variance and standard deviation?
b-a/6
What is the formula for the deviation?
Standard deviation is a way to describe how the data is distributed around the Arithmatic Mean. It is not a simple formula to calculate, as shown in the links.
Coefficient of skewness and formula?
3 (mean − median) / standard deviation.
Why does the formula for standard deviation have a square root in it?
The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2). Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.
Is standard deviation biased or unbiased?
Standard deviation (SD) is neither biased nor unbiased. Estimates for SD can be biased but that depends on the formula used to calculate the estimate.
Find the formula for percentage of covariance?
100 x (standard deviation/mean)
Coefficient of Deviation?
Coefficient of deviation (CV) is a term used in statistics. It is defined as the ratio of the standard deviation (sigma) to the mean (mu). The formula for CV is CV=sigma/mu.
What is the standard error if the population standard deviation is 100 and the sample size is 25?
Formula for standard error (SEM) is standard deviation divided by the square root of the sample size, or s/sqrt(n). SEM = 100/sqrt25 = 100/5 = 20.
What is the Standard deviation formula?
It is a bit complicated; you can find the details here: http://en.wikipedia.org/wiki/Standard_deviation
