The main need to work with grouped data was to reduce the number of data points that need to be stored and processed in calculation. With modern computers the storage and computation are not likely to be issues in many situations and so there is no need to use grouped data.
Common measures of central tendency are the mean, median, mode. Common measures of dispersion are range, interquartile range, variance, standard deviation.
There are more than three measures. Some are better than others in some situations but not as good in other situations.
There are many:Range,Inter-quartile range,Percentile rangesMean absolute deviation from the mean or medianVarianceStandard deviationStandardised deviation
Measures of central tendency are averages. Range , the difference between the maximum and the minimum, is a measure of dispersion or variation.
It's a statistical tool used in psychology. A simple way of calculating the measure of dispersion is to calculate the range. The range is the difference between the smallest and largest value in a set of scores. This is a fairly crude measure of dispersion as any one high or low scale can distort the data. A more sophisticated measure of dispersion is the standard deviation which tells you how much on average scores differ from the mean.
Central tendency will only give you information on the location of the data. You also need dispersion to define the spread of the data. In addition, shape should also be part of the defining criteria of data. So, you need: location, spread & shape as best measures to define data.
Dispersion is the act of spreading people or things (like seeds) out over a large area. Measures of dispersion tell us the degree of variation of values in a sample or population.
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Common measures of central tendency are the mean, median, mode. Common measures of dispersion are range, interquartile range, variance, standard deviation.
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34049-50(25.54)2
Are measures of dispersion typically reported as
Dispersion is an abstract quality of a sample of data. Dispersion is how far apart or scattered the data values appear to be. Common measures of dispersion are the data range and standard deviation.
Both are measures of spread or dispersion.
Sets of data have many characteristics. The central location (mean, median) is one measure. But you can have different data sets with the same mean. So a measure of dispersion is used to determine whether there is a little or a lot of variability within the set. Sometimes it is necessary to look at higher order measures like the skewness, kurtosis.