Interpolation Calculator

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The process of finding new data values from the given data of values is called as Interpolation. The new data value is found using the other data values by the Interpolation formula. The online tool used to find the interpolation for the given values is called as the Interpolation calculator.

Example 1: Find the value of y for given x = 6, given data values (2, 3) and (4, 5)

The given data values are:

x =6; x1 =2; y1 = 3; x2 = 4; y2 =5;

The interpolation formula's is:

y = y1 + [(x – x1) (y2 –y1)/ (x2 –x1)]

y = 3+ [(6−2) (5−3)/ (4 - 2)]

y = 3 + (4 * 2/ 2)   y = 3 + 4  y = 7

Hence the value of y = 7.

The new data value is (6, 7)

Example 2: Find the value of y for given x = 1; Given data values (2, 5) and (4, 6)

The given data values are:

x =1; x1 =2; y1 = 5; x2 = 4; y2 =6;

The interpolation formula's is:

y = y1 + [(x – x1) (y2 –y1)/ (x2 –x1)]

y = 5 + (1 - 2) (6−5)/ (4 - 2)

y = 5 + (-1 * 1/ 2)  y = 5 - (1/2) y = (10-1)/2 = 9/2

Hence the value of y = 9/2.

The new data value is (1, 9/2)