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Calculating New Averages

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  • August 13, 2020 at 2:45 pm #249379

    jodean22
    Participant

    Over 153 days that i have averaged  7 widgets per day.  Is there a formula to calculate what the new average per day needs to be in the remaining 94 days to bring the total average to 12?

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    August 13, 2020 at 3:20 pm #249380

    Robert Butler
    ★★★★★★★★★★
    Participant

     

    This sounds like a homework problem but I’m done with my remote work and I’m not really ready to start back in on my latest book read so…

    7 = Xbar1 = the average over 153 days.

    Therefore

    7 x 153 = the sum of the individual measures for the 153 day period (remember: the sum of individual measures/153 = average = 7)

    12 = the desired average over 153 + 94 days

    Therefore the sum of individual measures for the remaining 94 days = Xbar2*94

    and the grand average which is 12 is expressed as:

    [(7 x 153) + (Xbar2 x 94)]/(153+94) = 12

    Solving for Xbar2 we get 20.1

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    August 29, 2020 at 6:28 pm #249644

    MBBinWI
    ★★★★★★★★★★
    Participant

    @rbutler – and simple algebra at that ;-)

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    August 30, 2020 at 2:16 pm #249657

    Chris Seider
    ★★★★★★★★★★
    Participant

    Hope you’re staying safe @MBBinWI

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