A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed: 47.401, 47.400, 47.402, 47.396, 47.406, 47.401, 47.396, 47.401, 47.405, and 47.404. Calculate the line’s most probable length.
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Distance AB is observed repeatedly using the same instrument and procedure, and the results are listed as follows: 65.401, 65.400, 65.402, 65.396, 65.406, 65.401, 65.396, 65.401, 65.405, 65.404. Calculate (a) the line's most probable length, (b) the standard deviation, and (c) the standard deviation of the mean for each set of results. Answer the question using the direct least squares solution.
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