Question

Rahul measured the height of Ramesh in different trials as 1.67 m, 1.65m , 1.64m & 1.63m. Find absolute
error, relative error and percentage error

Answer 1

Given :

Data of measured height

1.67 m, 1.65m , 1.64m & 1.63m

To find :

• Absolute error

• Relative error

• Percentage error

Solution :

Mean value, X = 1.67 m + 1.65m + 1.64m + 1.63m/4

X = 1.6475 = 1.65 approx

• For Absolute error,

Absolute error = | measured value - actual value |

∆x1 = | 1.67 - 1.65 | = 0.02

∆x2 = | 1.65 - 1.65 | = 0

∆x3 = | 1.64 - 1.65 | = 0.01

∆x4 = | 1.63 - 1.65 | = 0.02

• For Relative error,

Relative error = Absolute error / actual value

dx1 = 0.02 / 1.65 = 0.012

dx2 = 0

dx3 = 0.01 / 1.65 = 0.006

dx4 = 0.02 / 1.65 = 0.012

• For Percentage error,

Percentage error = relative error × 100

p1 = 0.012×100 = 1.2

p2 = 0

p3 = 0.006×100 = 0.6

p4= 0.012×100 = 1.2