Calculating New Averages

This topic has 3 replies, 4 voices, and was last updated 3 weeks, 1 day ago by Chris Seider.

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August 13, 2020 at 2:45 pm #249379

jodean22
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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
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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
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@rbutler – and simple algebra at that ;-)
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August 30, 2020 at 2:16 pm #249657

Chris Seider
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Hope you’re staying safe @MBBinWI
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