Q&A for How to Calculate Standard Deviation

Depends on the 10 samples of data. If all ten numbers were 29.05 then the standard deviation would be zero. Standard deviation is a measure of how much the data deviates from the mean.

You take the average of 26 and 5, divide by b squared and multiply by deviation equation constant.

Take each sample and subract the mean. Next, square each result, getting rid of the negative. Add the 10 results and divide the sun by 10 - 1 or 9. That is the standard deviation.

It is usually preferred to have at least five samples when conducting standard deviation.

Range is 22; standard deviation is 19. Standard deviation is preferred because more data falls within the standard deviation than the range.

Find the range or mean by adding all the numbers and dividing by the total sample. Then subtract 1 from the number and divide by the mean, and you'll get the variance. Then square root the variance, and that is the standard deviation.

Convert height in inches to a decimal (e.g. 4"/12"=.33) and follow the steps above. So a person that is 6'4" is 6.33 in pure numerical terms.

Standard deviation is the square root of variance, but variance is given by mean, so divide by number of samples. That is : 38.5/10 = 3.58. But standard deviation equals the square root of variance, so SD = the square root of 3.85 which is 1.96.

You still do the same process. N would be 13; you would find the sum of the numbers, then divide it by 13 to get the mean. Then follow Method 2 onward.

See Calculate the Mean: Step-by-Step Guide , Calculate Variance and Calculate Standard Deviation .

Add all the numbers up and divide by 6 to find the mean. Then subtract 6 from each of the scores. Square each difference. Add them up. Divide by (6 - 1) or 5. That's your variance. Find the square root of the variance to get your standard deviation.

Add all the numbers up and divide by 7. You get 10. That's the mean. Now subtract 10 from each of the terms. You get -3, -2, -1, 0, 1, 2, and 3. Square each of those terms to get 9, 4, 1, 0, 1, 4, and 9. Add them up to get 28. 7 - 1 = 6. 28/6 is reduced to 14/3. That's the variance. Then take the square root of 14/3, which is 2.16. That's the standard deviation.

You will need to find the mean. Then subtract the mean from each of the numbers and square the differences. Then divide by (n - 1). (n is the number of numbers in the data set). That's the variance. The standard deviation is the square root of the variance.

Find the mean by adding 38 and 40 and 12 and 10. You get 106. Divide 106 by 4 (n) to get a mean of 26.5. Then 38 - 26.5 = 14.5, 40 - 26.5 = 14.5, 12 - 26.5 = -14.5, and 10 - 14.5 = -4.5. Then square everything and add them. You get 651. The variance is n - 1. 4 - 1 = 3. 651/3 = 217. The square root of 217 is 14.7 approximately, so there's the answer.

So the possible outcomes of a die are {1,2,3,4,5,6} Here n=6 Mean=(1+2+3+4+5+6)/6 = 21/6 =3.5 Step2: subtract mean from each number 1-3.5= -2.5 2-3.5= -1.5 3-3.5=-0.5 4-3.5=0.5 5-3.5=1.5 6-3.5=2.5 STEP3: Square each number and add (-2.5)²+(-1.5)²+(-0.5)²+(0.5)²+(1.5)²+(2.5)² =6.25+2.25+0.25+0.25+2.25+6.25 =17.5 Step 4: divide sum by (n-1) to find variance 17.5÷5 = 3.5 Step5: std deviation is sq root of variance √3.5 =1.871

No equation is needed. Simply take square root of variance √4.8 = 2.19. You can try solving few more such questions and compare the results with some online standard deviation calculator.

You can consider it positive or negative, and it won't make a difference since in the next step it will get squared (squares of all numbers are positive).

No, a standard deviation is the square root of variance and therefore it can never be a negative.

Standard deviation is the squarer oot of variance, variance is labelled as σ^2 while standard deviation is labelled as σ.

The standard deviation would be 0 or X, as the difference between one number is nothing.

Yes. If all of your samples are the same, then your standard deviation can be zero.