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Calculating a Running Average Percentage with Different Raw Scores

  1. #1
    Forum Moderator AliGW's Avatar
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    Calculating a Running Average Percentage with Different Raw Scores

    Good morning, everyone!

    I am sure that I am missing the obvious here, but how do I calculate a running average of test scores as a percentage with differing raw scores? Let's say that a pupil has sat three tests so far this year with the following scores:10/20, 5/15 and 26/30. If I convert each of these to a percentage and then average that, I get an average score of 56.67%. How can I do this in one formula?

    Excel 2016 (Windows) 32 bit
    B
    C
    D
    E
    F
    G
    Q
    2
    Week
    1
    2
    3
    4
    Running
    3
    Raw Score
    20
    15
    30
    Average
    4
    CG
    5
    Pupil 1
    9
    20
    15
    30
    100.00
    6
    Pupil 2
    5
    10
    5
    26
    56.67
    7
    Pupil 3
    7
    13
    Abs
    2
    35.83
    8
    Pupil 4
    6
    12
    7
    19
    56.67
    Sheet: Sheet1
    Attached Files Attached Files
    Ali


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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Ali, I think that, mathematically, you should sum all actual and possible scores, and work the % out that way.
    10+5+26 = 41
    20+15+30 = 65

    41/65 = 63.08%

    from your sample...
    =SUM(D5:P5)/SUM($D$3:$P$3)
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    Ford

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Morning Ali,

    This will give your expected results:
    Formula: copy to clipboard
    Please Login or Register  to view this content.

    However, I agree with Ford's approach (albeit with a slight amendment to the formula):
    Formula: copy to clipboard
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    BSB

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    May be, try this one

    =SUM(D5:F5/$D$3:$F$3)/3
    Confirm with CSE

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Thanks, all - I will try these when I get into work.

    One observation, and I should have made this clear at the start: the individual tests need to be weighted equally, so it's not just a case of adding everything and dividing by the total points available.

    I will report back when I've tried the suggestions.

    Thanks again.

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    Administrator FDibbins's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Quote Originally Posted by BadlySpelledBuoy View Post
    ...However, I agree with Ford's approach (albeit with a slight amendment to the formula):
    Formula: copy to clipboard
    Please Login or Register  to view this content.
    ...
    My reason for taking it to the end was to allow for extra weekly data to be added, otherwise the formula needs to be adjusted each week

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    Administrator FDibbins's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Ali, what do you mean by "weighted equally"?

    How are you doing this manually?

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Ford - if you look at the helper columns in red on the far right in the workbook you'll see that each score is being converted to a percentage before the scores are being averaged in column Q. Maybe I needed more coffee this morning, but your outcome does not tally with mine. I want to do this without the helper columns.

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    Forum Moderator AliGW's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Quote Originally Posted by BadlySpelledBuoy View Post
    Morning Ali,

    This will give your expected results:
    Formula: copy to clipboard
    Please Login or Register  to view this content.
    Thanks - this is what I want and need.

    Quote Originally Posted by BadlySpelledBuoy View Post
    However, I agree with Ford's approach (albeit with a slight amendment to the formula):
    Formula: copy to clipboard
    Please Login or Register  to view this content.


    BSB
    Unfortunately this approach doesn't give the properly weighted results I want.

    Thanks both - problem solved.

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    Forum Moderator AliGW's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Sorry - not solved. It copes with absence (Abs), but I need it to look at the whole range from column D to column P (Ford was right about that).

    Classic case of not enough information - sorry!

    So, the raw mark may or may not be filled in ahead of the test, but I want it to calculate the average of the scores that have been filled in to date (in the case of the example, up to column F).

    Sorry!

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    One way, array entered... maybe...

    =SUMPRODUCT(IFERROR((D5:P5)/($D$3:$P$3),""))/COUNT(D5:P5)
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    Forum Moderator Glenn Kennedy's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    or:

    =SUM(IFERROR($D5:$P5/$D$3:$P$3, 0))/COUNT(D5:P5)

    array entered

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Try with in "Q5"
    Formula: copy to clipboard
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    atul


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    Forum Moderator AliGW's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Glenn - thanks. I shall try these a little later.

    AVK - thanks for trying, but I don't think you read post #9 (see the bottom line).

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    Re: Calculating a Running Average Percentage with Different Raw Scores

    Hi, to all!

    AliGW... you could try (CSE):
    =AVERAGE(IFERROR(D5:P5/D$3:P$3,""))

    Blessings!

  16. #16
    Forum Moderator AliGW's Avatar
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    Re: Calculating a Running Average Percentage with Different Raw Scores

    That works, too, John - thanks!

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