Interpolation?

Brian from Maui

MrExcel MVP
Joined
Feb 16, 2002
Messages
8,459
From the table below, if I had known values of 230000 and 10.5, how can I come up with a value of 38.75?
Book2
ABCD
110.011.012.0
222000040.037.535.0
324000040.037.535.0
426000045.042.540.0
Sheet1
 

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Assuming 230000 is in cell A6 and 10.5 is in cell B5:

=AVERAGE(INDEX(B2:D4,MATCH(A6,A2:A4,1),MATCH(B5,B1:D1,1)),INDEX(B2:D4,MATCH(A6,A2:A4,1)+1,MATCH(B5,B1:D1,1)),INDEX(B2:D4,MATCH(A6,A2:A4,1),MATCH(B5,B1:D1,1)+1),INDEX(B2:D4,MATCH(A6,A2:A4,1)+1,MATCH(B5,B1:D1,1)+1))
 
Upvote 0
On 2002-09-08 00:51, Andrew Poulsom wrote:
Assuming 230000 is in cell A6 and 10.5 is in cell B5:

=AVERAGE(INDEX(B2:D4,MATCH(A6,A2:A4,1),MATCH(B5,B1:D1,1)),INDEX(B2:D4,MATCH(A6,A2:A4,1)+1,MATCH(B5,B1:D1,1)),INDEX(B2:D4,MATCH(A6,A2:A4,1),MATCH(B5,B1:D1,1)+1),INDEX(B2:D4,MATCH(A6,A2:A4,1)+1,MATCH(B5,B1:D1,1)+1))

Andrew,

That's great. I believe it can be shortened to:

=AVERAGE(INDEX(B2:D4,MATCH(A6,A2:A4),MATCH(B5,B1:D1)),INDEX(B2:D4,MATCH(A6,A2:A4)+1,MATCH(B5,B1:D1)+1))

Aladin
 
Upvote 0
On 2002-09-08 01:29, Andrew Poulsom wrote:
Aladin,

Would your formula work for 250000 and 10.5?

Results in 41.25 like yours.

Addendum. We need to add some control to the formula for values outside the table:

=IF(AND(B5>=B1,B5<=D1,A6>=A2,A6<=A4),AVERAGE(INDEX(B2:D4,MATCH(A6,A2:A4),MATCH(B5,B1:D1)),INDEX(B2:D4,MATCH(A6,A2:A4)+1,MATCH(B5,B1:D1)+1)),"NoValue")
This message was edited by aladin akyurek on 2002-09-08 06:28
 
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