In general you cannot. You will need to know more about the distribution of the variable - you cannot assume that the distribution is uniform or Normal.
interquartile range or mean absolute deviation.
The standard deviation is the value most used. Others are variance, interquartile range, or range.
The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.
A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.
To show the variation in a set of data, you could calculate the standard deviation, which measures the dispersion or spread of the data points around the mean. Additionally, you might consider calculating the variance, which is the square of the standard deviation. Other measures, such as the range or interquartile range, can also provide insights into the variability within the dataset.
On the standard deviation. It has no effect on the IQR.
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.
Range, standard deviation, variance, root mean square, interquartile range
interquartile range or mean absolute deviation.
The standard deviation is the value most used. Others are variance, interquartile range, or range.
The interquartile range is the upper quartile (75th percentile) minus (-) the lower percentile (75th percentile). The interquartile range uses 50% of the data. It is a measure of the "central tendency" just like the standard deviation. A small interquartile range means that most of the values lie close to each other.
The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.
Generally, the standard deviation (represented by sigma, an O with a line at the top) would be used to measure variability. The standard deviation represents the average distance of data from the mean. Another measure is variance, which is the standard deviation squared. Lastly, you might use the interquartile range, which is often the range of the middle 50% of the data.
In general, you cannot. If the distribution can be assumed to be Gaussian [Normal] then you could use z-scores.
Common measures of central tendency are the mean, median, mode. Common measures of dispersion are range, interquartile range, variance, standard deviation.
The choice of numerical measures of center (mean, median) and spread (range, variance, standard deviation, interquartile range) depends on the distribution's shape and characteristics. For symmetric distributions without outliers, the mean and standard deviation are appropriate, while for skewed distributions or those with outliers, the median and interquartile range are more robust choices. Additionally, the presence of outliers can significantly affect the mean and standard deviation, making alternative measures more reliable. Understanding the data's distribution helps ensure that the selected measures accurately represent its central tendency and variability.
A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.