An angle is observed repeatedly using the same equipment and

procedures producing the data below:

$71{37}^{\text{'}}00",71{37}^{\text{'}}{10}^{\text{'}\text{'}},71{37}^{\text{'}}{10}^{\text{'}\text{'}},$ and $71{36}^{\text{'}}{55}^{\text{'}\text{'}}$

Part A

Calculate the angle's most probable value.

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$71{37}^{\text{'}}04$

${71}^{\text{@}}{36}^{\text{'}}04$

$71{37}^{\text{'}}05$

${71}^{\text{@}}{36}^{\text{'}}05$

Correct

The most probable value is the value you would quote as your estimate of the true value of the angle measure.

Part B

Calculate the standard deviation.

Express your answer in angular seconds to three significant figures.

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Previous Answers

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Part C

Calculate the standard deviation of the mean.

Express your answer in angular seconds to three significant figures.

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