College

A distance AB is observed repeatedly using the same equipment and procedures, and the results are as follows:

71,401; 71,400; 71,402; 71,406; 71,401; 71,396; 71,401; 71,405; and 71,400.

Part A: Calculate the line's most probable length. Express your answer to five significant figures and include appropriate units.

Answer :

The most probable length of line AB is approximately 40013 units.

To find the most probable length, we will take the average of the observed results. Average refers to the arithmetic mean or typical value calculated by summing a set of numbers and dividing by the count, representing a central tendency in data analysis.

Average =( 71401.71 + 400 + 402 + 406 + 401 +396 + 401 + 405 + 404) / 9

Adding up the values gives following:

Average = 360117.71 / 9

Average ≈ 40013.08

Rounded to five significant figures, the most probable length of line AB is approximately 40013 units. This approach provides an estimate based on the repeated observations, aiming to capture the central tendency of the data.

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