Range, variance, and standard deviation usually are used to describes the spread of data.
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
To calculate plus or minus one standard deviation from a mean, first determine the mean (average) of your data set. Then calculate the standard deviation, which measures the dispersion of the data points around the mean. Once you have both values, you can find the range by adding and subtracting the standard deviation from the mean: the lower limit is the mean minus one standard deviation, and the upper limit is the mean plus one standard deviation. This range contains approximately 68% of the data in a normal distribution.
Range, variance, and standard deviation usually are used to describes the spread of data.
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.
The range is 9 and 3.01 is the standard deviation.
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.
To calculate plus or minus one standard deviation from a mean, first determine the mean (average) of your data set. Then calculate the standard deviation, which measures the dispersion of the data points around the mean. Once you have both values, you can find the range by adding and subtracting the standard deviation from the mean: the lower limit is the mean minus one standard deviation, and the upper limit is the mean plus one standard deviation. This range contains approximately 68% of the data in a normal distribution.
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.
Range is considered a good measure of variability because it provides a simple and quick assessment of the spread of data by capturing the difference between the maximum and minimum values. However, it is sensitive to outliers and does not account for the distribution of values between the extremes. Standard deviation is preferred because it considers how each data point deviates from the mean, providing a more comprehensive view of variability, and it is less influenced by extreme values. This makes standard deviation a more robust and informative measure for understanding the dispersion of data.