the difference between the maximum and minimum data entries in the set.
To find the​ range, the data must be quantitative.
Range=​(Maximum data ​entry)minus−​(Minimum data​ entry)
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advantage of using range
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easy to compute
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disadvantage
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only uses two entries
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Why is the standard deviation used more frequently than the​ variance?
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The units of variance are squared. Its units are meaningless.
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Explain the relationship between variance and standard deviation. Can either of these measures be​ negative? Explain.
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The standard deviation is found by taking the positive square root of the variance.​ Therefore, the standard deviation and variance can never be negative. Squared deviations can never be negative.
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Describe the difference between the calculation of population standard deviation and that of sample standard deviation.
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When calculating the population standard​ deviation, the sum of the squared deviation is divided by​ N, then the square root of the result is taken. When calculating the sample standard​ deviation, the sum of the squared deviations is divided by n−​1, then the square root of the result is taken.
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Given a data​ set, how do you know whether to calculate sigmaσ or​ s?
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Note that sigmaσ represents the population standard deviation and s represents the sample standard deviation. One would have to use the given information carefully to decide whether the data represents the population or it is a sample taken from the population.
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