Array Formula - ACT scores

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LisaB114

New Member
Joined
Jan 2, 2019
Messages
5
I am a teacher, summarizing ACT results. I have over a hundred students who have each taken the ACT for four years, anywhere from one to four times each year. For example, I am trying to calculate an overall average Composite score for 2017 for the following data.

[TABLE="width: 500"]
<tbody>[TR]
[TD][/TD]
[TD]A[/TD]
[TD]B[/TD]
[TD]C[/TD]
[TD]D[/TD]
[TD]E[/TD]
[/TR]
[TR]
[TD]1[/TD]
[TD][/TD]
[TD][/TD]
[TD]2017[/TD]
[TD]2017[/TD]
[TD]2017[/TD]
[/TR]
[TR]
[TD]2[/TD]
[TD]Student A[/TD]
[TD]English[/TD]
[TD]28[/TD]
[TD]31[/TD]
[TD]27[/TD]
[/TR]
[TR]
[TD]3[/TD]
[TD][/TD]
[TD]Math[/TD]
[TD]27[/TD]
[TD]27[/TD]
[TD]28[/TD]
[/TR]
[TR]
[TD]4[/TD]
[TD][/TD]
[TD]Composite[/TD]
[TD]27[/TD]
[TD]29[/TD]
[TD]28[/TD]
[/TR]
[TR]
[TD]5[/TD]
[TD]Student B[/TD]
[TD]English[/TD]
[TD]22[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]6[/TD]
[TD][/TD]
[TD]Math[/TD]
[TD]18[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]7[/TD]
[TD][/TD]
[TD]Composite[/TD]
[TD]20[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]8[/TD]
[TD]Student C[/TD]
[TD]English[/TD]
[TD]21[/TD]
[TD]18[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]9[/TD]
[TD][/TD]
[TD]Math[/TD]
[TD]17[/TD]
[TD]14[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]10[/TD]
[TD][/TD]
[TD]Composite[/TD]
[TD]19[/TD]
[TD]16[/TD]
[TD][/TD]
[/TR]
</tbody>[/TABLE]

I want an average of each student’s max Composite score for 2017. So I want
AVERAGE(MAX(27,29,28), MAX(20), MAX (19,16))
which should equal 22.67.

So… I have tried using an array formula.
{AVERAGE(IF(B2:B10=”Composite”,MAX(C2:E10))}
But I get 31.
So I tried
{AVERAGE(IF(B2:B10="Composite",MAX(C2:C10,D2:D10,E2:E10)))}
But I still get 31.

So instead of finding the max of each composite row, it’s just finding the max of the C2:E10.

Any idea how to do this? BTW - I am a long-time reader, first-time poster. Thanks!
 

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[Table="width:, class:grid"][tr][td="bgcolor:#C0C0C0"][/td][td="bgcolor:#C0C0C0"]
A​
[/td][td="bgcolor:#C0C0C0"]
B​
[/td][td="bgcolor:#C0C0C0"]
C​
[/td][td="bgcolor:#C0C0C0"]
D​
[/td][td="bgcolor:#C0C0C0"]
E​
[/td][td="bgcolor:#C0C0C0"]
F​
[/td][td="bgcolor:#C0C0C0"]
G​
[/td][/tr][tr][td="bgcolor:#C0C0C0"]
1​
[/td][td="bgcolor:#F3F3F3"]
Student​
[/td][td="bgcolor:#F3F3F3"]
Section​
[/td][td="bgcolor:#F3F3F3"]
2017​
[/td][td="bgcolor:#F3F3F3"]
2017​
[/td][td="bgcolor:#F3F3F3"]
2017​
[/td][td="bgcolor:#F3F3F3"]
Max​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
2​
[/td][td]Student A[/td][td]English[/td][td]
28​
[/td][td]
31​
[/td][td]
27​
[/td][td="bgcolor:#E5E5E5"]
31​
[/td][td]F2: =MAX(C2:E2)[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
3​
[/td][td]Student A[/td][td]Math[/td][td]
27​
[/td][td]
27​
[/td][td]
28​
[/td][td="bgcolor:#E5E5E5"]
28​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
4​
[/td][td]Student A[/td][td]Composite[/td][td]
27​
[/td][td]
29​
[/td][td]
28​
[/td][td="bgcolor:#E5E5E5"]
29​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
5​
[/td][td]Student B[/td][td]English[/td][td]
22​
[/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
22​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
6​
[/td][td]Student B[/td][td]Math[/td][td]
18​
[/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
18​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
7​
[/td][td]Student B[/td][td]Composite[/td][td]
20​
[/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
20​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
8​
[/td][td]Student C[/td][td]English[/td][td]
21​
[/td][td]
18​
[/td][td][/td][td="bgcolor:#E5E5E5"]
21​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
9​
[/td][td]Student C[/td][td]Math[/td][td]
17​
[/td][td]
14​
[/td][td][/td][td="bgcolor:#E5E5E5"]
17​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
10​
[/td][td]Student C[/td][td]Composite[/td][td]
19​
[/td][td]
16​
[/td][td][/td][td="bgcolor:#E5E5E5"]
19​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
11​
[/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
12​
[/td][td][/td][td]English[/td][td][/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
24.7​
[/td][td]F12: =AVERAGEIF($B$2:$B$10, B12, $F$2:$F$10)[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
13​
[/td][td][/td][td]Math[/td][td][/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
21.0​
[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]
14​
[/td][td][/td][td]Composite[/td][td][/td][td][/td][td][/td][td="bgcolor:#E5E5E5"]
22.7​
[/td][td][/td][/tr]
[/table]
 
Upvote 0
Thanks! I am actually looking for a solution that doesn't involve adding any columns. The spreadsheet is already pretty full - there's four years of data. And it's looked at by a lot of people who aren't really spreadsheet-savvy. That's why I looked at the array formula.
 
Upvote 0
Try:

ABCDE

<colgroup><col style="width: 25pxpx"><col><col><col><col><col></colgroup><thead>
</thead><tbody>
[TD="align: center"]1[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]2017[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]2017[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]2017[/TD]

[TD="align: center"]2[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Student A[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]English[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]28[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]31[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]27[/TD]

[TD="align: center"]3[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Math[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]27[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]27[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]28[/TD]

[TD="align: center"]4[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Composite[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]27[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]29[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]28[/TD]

[TD="align: center"]5[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Student B[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]English[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]22[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]

[TD="align: center"]6[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Math[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]18[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]

[TD="align: center"]7[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Composite[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]20[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]

[TD="align: center"]8[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Student C[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]English[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]21[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]18[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]

[TD="align: center"]9[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Math[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]17[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]14[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]

[TD="align: center"]10[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Composite[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]19[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"]16[/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] , align: right"][/TD]

[TD="align: center"]11[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]12[/TD]
[TD="align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]English[/TD]
[TD="align: right"]24.66667[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]13[/TD]
[TD="align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Math[/TD]
[TD="align: right"]21[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]14[/TD]
[TD="align: right"][/TD]
[TD="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=FAFAFA]#FAFAFA[/URL] "]Composite[/TD]
[TD="align: right"]22.66667[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

</tbody>
Sheet5​

[TABLE="width: 85%"]
<tbody>[TR]
[TD]Array Formulas[TABLE="width: 100%"]
<thead>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH="width: 10px"]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
</thead><tbody>[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]C12[/TH]
[TD="align: left"]{=AVERAGE(IF(B$2:B$10=B12,SUBTOTAL(4,OFFSET(C$2:E$2,ROW(C$2:C$10)-ROW(C$2),0))))}[/TD]
[/TR]
</tbody>[/TABLE]
Entered with Ctrl+Shift+Enter. If entered correctly, Excel will surround with curly braces {}.
Note: Do not try and enter the {} manually yourself[/TD]
[/TR]
</tbody>[/TABLE]
 
Upvote 0
OK. New problem. If there is a student who did not take the ACT, and thus has no scores, his resulting max of ZERO brings the average down! Any ideas anyone?
 
Upvote 0
This is a little gimmicky, but should work. With the same layout as my previous post, try:

=AVERAGE(IF(B$2:B$10=B12,IFERROR(1/(1/SUBTOTAL(4,OFFSET(C$2:E$2,ROW(C$2:C$10)-ROW(C$2),0))),"")))

also with Control+Shift+Enter.
 
Upvote 0
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