A piece of iron rod was measured and found to be 120cms. But the actual value of the wood is 123cms. Find the relative error?(a) 3%(b) 2.5%(c) 2.43%(d) 3.43%This question was posed to me at a job interview.My doubt is from Errors in Data and Calculations topic in portion Presentation and Analysis of Data of Bioprocess Engineering

A piece of iron rod was measured and found to be 120cms. But the actua

1.	A piece of iron rod was measured and found to be 120cms. But the actual value of the wood is 123cms. Find the relative error?(a) 3%(b) 2.5%(c) 2.43%(d) 3.43%This question was posed to me at a job interview.My doubt is from Errors in Data and Calculations topic in portion Presentation and Analysis of Data of Bioprocess Engineering
Answer» Right answer is (c) 2.43% To explain: Given: True value = 123cms Measured value = 120cms Firstly, let us find out the ABSOLUTE ERROR. We know by subtracting true value with measured value we GET absolute error = 123 – 120 = 3cms THEREFORE, absolute error = 3cms Now, let us find out the relative error = absolute error/True value x 100 = 3/123 x 100 = 2.43% Therefore, the relative error for the given values = 2.43%.

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