Linear Interpolation Worksheet with Example

This worksheet help you to understand how to calculate Linear Interpolation. The unknown value which lies between the two known rates/ points can be calculated by linear interpolation.

The below formula is used to
(y-y0)/(x-x0)=(y1-y0)/(x1-x0)
Lets consider (x1,y1), (x3, y3) are two points to find the value of the point x2 or y2

Linear Interpolation Formulas to find unknown:
To find y2,
y2=(x2-x1)*(y3-y1)/(x3-x1)+y1
To find x2,
x2=(y2-y1)*(x3-x1)/(y3-y1)+x1

To findout the value of X2 we must know the value of y2; to find y2 we must know the value of x2

Linear Interpolation Example:
x1 =1 x2 =2 x3 = 3
y1 = 4 y2 = ? y3 = 6
The formula to find y2 is,
y2=(x2-x1)*(y3-y1)/(x3-x1)+y1
y2=(2 - 1)*(6 - 4)/(3 - 1) + 4
y2 = 2/2 + 4
y2 = 5

Hence the unknown point Value is 5

When you try such calculations on your own, this linear interpolation calculator can be used to verify your results.


Similar Worksheets  Worksheet for how to Calculate Antilog
 Worksheet for Binary to Decimal, Hexa and Octal number conversion
 Worksheet for how to Calculate Permutations nPr and Combination nCr
 Math Worksheet to find n Factorial value
 Math Worksheet to calculate Polynomial Addition
 Worksheet for how to find out Z Score Value
 Worksheet for how to calculate T Test
 Worksheet for how to calculate Class Interval Arithmetic Mean
 Worksheet for how to calculate Hypergeometric Distribution
 Worksheet for how to calculate Negative Binomial Distribution

  Geometry  
Math Worksheets