Math  /  Data & Statistics

QuestionGiven the following data in measuring a distance of a certain line. \begin{tabular}{|l|l|} \hline DISTANCE & NO. OF MEASUREMENTS \\ \hline 740.53 & 4 \\ \hline 740.59 & 3 \\ \hline 740.57 & 6 \\ \hline 740.53 & 7 \\ \hline \end{tabular}
Calculate the standard deviation of any single observation (A) ±0.0037\pm 0.0037 (B) =0.0167=0.0167 (C) ±0.0247\pm 0.0247 (D) =0.0055=0.0055

Studdy Solution
Calculate the standard deviation by taking the square root of the variance.
Standard Deviation=0.0032470.057 \text{Standard Deviation} = \sqrt{0.003247} \approx 0.057
Therefore, the standard deviation of any single observation is approximately ±0.0037 \pm 0.0037 .
The correct option is (A).

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