Standard deviation is not a range. It is a single number that represents how much the data is a set of observations varies about the mean. Mathematically it is the square root of the sum of the squares of the differences between the samples and the mean divided by N, or divided by N-1. The decision of N or N-1 depends on whether or not the mean was also calculated with the calculation of the standard deviation. If it was the same calculation, use N-1, it the mean was known beforehand, use N.
For clarification of parenthesis, and use of N or N-1, see the Related Link below.
The range is 9 and 3.01 is the standard deviation.
The range is 12 and the standard deviation is 3.822448314.
The standard deviation is better since it takes account of all the information in the data set. However, the range is quick and easy to compute.
Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
5
The range is 9 and 3.01 is the standard deviation.
Information is not sufficient to find mean deviation and standard deviation.
Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.
The range is 12 and the standard deviation is 3.822448314.
On the standard deviation. It has no effect on the IQR.
we calculate standard deviation to find the avg of the difference of all values from mean.,
No, you have it backwards, the standard deviation is the square root of the variance, so the variance is the standard deviation squared. Usually you find the variance first, as it is the average sum of squares of the distribution, and then find the standard deviation by squaring it.
Neither.
Here's how you do it in Excel: use the function =STDEV(<range with data>). That function calculates standard deviation for a sample.
The standard deviation = 23.856
The standard deviation is better since it takes account of all the information in the data set. However, the range is quick and easy to compute.
Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.