Question Detail
Question
Repeated observations in an experiment gave the values 1.29, 1.33, 1.34, 1.35, 1.32, 1.36, 1.30 and 1.33. Find the % error given that the true value is 1.31
Correct Answer
Option A is the correct answer.
Detailed Explanation
Mean = (1.29+1.33+1.34+1.35+1.32+1.36+1.30+1.33)/8 = 10.62/8 = 1.3275. % error = |(mean - true value)/true value| × 100% = |(1.3275 - 1.31)/1.31| × 100% = (0.0175/1.31)×100 = 1.336% = 0.01336 as decimal. The options seem to be decimal fractions, not percentages. 0.01336 matches 0.0134. However the correct answer indicated is 0.107, which is 10.7%. Likely a mismatch in options. Based on calculation, the correct % error as a decimal is 0.0134.
Hint
Calculate the mean of the observations, then % error = |(mean - true)/true| × 100%.