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    Mean and the standard deviation for frequency distribution

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    Determine the mean and the standard deviation of the following frequency distribution.

    Class Frequency
    0 up to 5 2

    5 up to 10 7

    10 up to 15 12

    15 up to 20 6

    20 up to 25 3

    © BrainMass Inc. brainmass.com June 3, 2020, 7:18 pm ad1c9bdddf

    Solution Preview

    In order to solve this, you have to use the midpoints of the histogram classes. For example, we're told that there are 7 observations from 5 up to 10. Using the midpoint, we'll assume that there were 7 observations of 7.5, which is the midpoint between 5 and 10.

    So we get the frequency table:
    Midpoint ...

    Solution Summary

    The solution shows how to calculate the mean and standard deviation for a discrete frequency distribution of data given..