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Q.1. Solve:
1. The height of a tree was 200 cm but was wrongly recorded as 210 cm. Find the percentage error.
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Answer:
The error percentage is 5%
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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%
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