# Calculating New Averages

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• #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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#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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#249644

MBBinWI
Participant

@rbutler – and simple algebra at that ;-)

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#249657

Chris Seider
Participant

Hope you’re staying safe @MBBinWI

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