how to calculate standard deviation step by step?
317731
['The standard deviation formula may look confusing, but it will make sense after we break it down. ... ', 'Step 1: Find the mean.', 'Step 2: For each data point, find the square of its distance to the mean.', 'Step 3: Sum the values from Step 2.', 'Step 4: Divide by the number of data points.', 'Step 5: Take the square root.']
315289
['Standard deviation looks at how spread out a group of numbers is from the mean, by looking at the square root of the variance.', 'The variance measures the average degree to which each point differs from the mean—the average of all data points.']
431173
Find the standard deviation of all the x-values (call it sx) and the standard deviation of all the y-values (call it sy). Add up the n results from Step 3. Divide the sum by sx ∗ sy. Divide the result by n – 1, where n is the number of (x, y) pairs.
589619
['Calculate the mean (expected value) by using the PERT distribution equation. (24 + 4(30) + 36) / 6 = 30.', 'Calculate the standard deviation by using the short formula. (36 – 24) / 6 = 2.', 'Add and subtract the standard deviation value to and from the mean.']
1252459
['Calculate the mean (simple average of the numbers).', 'For each number: subtract the mean. ... ', 'Add up all of the squared results.', 'Divide this sum by one less than the number of data points (N - 1).']
1139228
To find the standard deviation, press SHIFT, 1, 4 (Var), 3 for standard deviation then you must press p to bring up the value.
471572
Since this is a binomial, then you can use the formula σ2=npq. f. Once you have the variance, you just take the square root of the variance to find the standard deviation.
1021874
Sum up the squared deviations (the distances from each number to the mean) and take the mean of that number. This is the variance, or a rough measure of how spread out they are. To find the standard deviation you take the square root of the variance. Voila!
15257
The procedure for calculating the variance and standard deviation for ungrouped data is as follows. First sum up all the values of the variable X, divide this by n and obtain the mean, that is, ¯X = ΣX/n. Next subtract each individual value of X from the mean to obtain the differences about the mean.
1003494
Standard deviation is calculated using the formula below: For each value in the data set (x), subtract the mean (x̄), and then square the result. Then find the sum of all the resulting values. Next, this sum is divided by the number of values in the data set (N), then the square root of the resulting number is found.
273084
To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.
440893
['Find the mean of the data set. Add all data values and divide by the sample size n.', 'Find the squared difference from the mean for each data value. Subtract the mean from each data value and square the result.', 'Find the sum of all the squared differences. ... ', 'Calculate the variance.']
889330
['the standard deviation is approximately equal to the range / 4.', 'the standard deviation is approximately equal to 3/4 * IQR.']
1005306
['Step 1: Enter your data into the calculator. This will be the first step for any calculations on data using your calculator. ... ', 'Step 2: Calculate 1-Variable Statistics. ... ', 'Step 3: Select the correct standard deviation.']
530590
['Find the mean by using the AVERAGE function: =AVERAGE(B2:B7) ... ', 'Subtract the average from each number in the sample: ... ', 'Square each difference and put the results to column D, beginning in D2: ... ', 'Add up the squared differences and divide the result by the number of items in the sample minus 1:']
6927
['Mean of Sample is the same as the mean of the population.', 'The standard deviation which is calculated is the same as the standard deviation of the population divided by the square root of the sample size.']
106184
To find the standard deviation, press SHIFT, 1, 4 (Var), 3 for standard deviation then you must press p to bring up the value. The mean is 5.9 and the standard deviation is 2.8792 to 4 decimal places. Turn the calculator off to clear then memories. Turn it on then press MODE, select 2 for statistics and 1 for 1-VAR.