They launch the ball ten times and find the results for the range in centimeters

Question

They launch the ball ten times and find the results for the range in centimeters to be 104.5, 107.3, 108.1, 104.9, 103.6, 107.5, 105.6, 102.2, 103.3, and 105.0.

iii) What is the average range?
105.2 is correct for this

iv) What is the standard error in the average range?


The launch angle is now rigidly fixed at some angle between twenty and thirty degrees;. The projectile is fired ten times. Now you carefully measure the launch angle so that you know it better than 1.2%. The projectile is fired another ten times.

v) You would then expect the spread in the measured range values to decrease by:
12%

Explanation / Answer

iv) Standard error = Average range / sqrt (n) = 105.2 / sqrt(10) = 33.267

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