Question

Marks: 8
Q.1. Solve:
1. The height of a tree was 200 cm but was wrongly recorded as 210 cm. Find the percentage error.

Answer 1

Answer:

The error percentage is 5%

Answer 2

mean error

a1 = 200cm

a2 = 210cm

a (mean) = (200 + 210)/2 = 410/2 = 205

a (mean) = 205

now finding absolute error:

△a1 = | a (mean) - a1 |

△a1 = |205 - 200| = 5

△a2 = |205 - 210| = 5

finding mean absolute error:

△a (mean) = (5 + 5))/2 = 10/2 = 5

percentage error:

[△a (mean) / a (mean) ] × 100

= (5/205) × 100

= 2.439 %

the percentage error is 2.439%