What if two datasets have the same mean and standard deviation?

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What if two datasets have the same mean and standard deviation?

Two data sets can have are very different mean values but have the same standard deviations. Therefore, the amount of variance (aka “noise”) in the two data sets is the same, even though the means differ.

How do you find the standard deviation of two standard deviations?

Here’s how to calculate sample standard deviation:

  1. Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.
  2. Step 2: Subtract the mean from each data point.
  3. Step 3: Square each deviation to make it positive.
  4. Step 4: Add the squared deviations together.

How do you compare standard deviations in two data sets?

Comparison of variances: if you want to compare two known variances, first calculate the standard deviations, by taking the square root, and next you can compare the two standard deviations. In the dialog box, enter the two standard deviations that you want to compare, and the corresponding number of cases.

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Can two data sets have the same range but different standard deviations?

Another sample dataset might have the same mean, 53.5, but with a data range from 45 to 62 and a standard deviation of 3.5. The two datasets have the same mean, 53.5, but very different standard deviations.

When two data sets have the same meaning?

For two data sets with the same mean, the one with the larger standard deviation is the one in which the data is more spread out from the center. Standard deviation is equal to 0 if all values are equal (because all values are then equal to the mean).

What happens if the standard deviation is the same?

All of the individual data values would be clumped together at a single value. In this situation, when all of our data values are the same, there would be no variation whatsoever. Intuitively it makes sense that the standard deviation of such a data set would be zero.

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Can you combine two standard deviations?

You cannot just add the standard deviations. Standard deviation is defined as the square root of the variance . The other way around, variance is the square of SD.

Can you compare standard deviations with different units?

Standard Deviation is obtained by taking the square root of the Variance. This results in the measurement unit of Standard Deviation to be same as the original unit of measurement of the variable. The answer is an emphatic “NO” since the variables are not measured on the same scale or unit.

How do you find the standard deviation of the difference between two sets of data in Excel?

Excel standard deviation formula examples

  1. To get population standard deviation: =STDEVP(B2:B50)
  2. To calculate sample standard deviation: =STDEV(B2:B10)

What happens if two data sets have the same range?

1) a) The distance from the smallest to largest data in both sets will be the same.

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Is it possible that two datasets can have the same mean but different variances?

Yes, two sets of data have the same mean, but not the same variance. Two data sets may have the same mean, but different variances.