#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Interpolation Calculator - Online Calculator - Tutorpace

# Interpolation Calculator

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

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)