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The frequency mean is the mean of a frequency distribution table. The frequency mean is always an estimate of the mean.
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The empirical rule for data with a bell – shaped distribution is used to identify 3 set of data using the mean and standard deviation. The 3 sets of data are: • About 68% of all data values are within 1 standard deviation from the mean. • About 95% of all data values are within 2 standard deviations from the mean. • About 99.7% of all data values are within 3 standard deviations from the mean.
The range rule for thumb for identifying significant values is used to identify all values that are considered to be too low or high for the data set using the mean and standard deviation. The low data values are known as the significantly low values; the high data values are known as the significantly high values.
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The standard deviation is a value that tells you how far all data values deviate from the mean. The standard deviation is never negative, but it can be zero or positive.