The length of a rod as measured in an experiment was found to be 2.48

1.	The length of a rod as measured in an experiment was found to be 2.48 m, 2.46 m, 2.49 m,2.50 m and 2.48 m. Find the average length, the absolute error in each observation and thepercentage error.
Answer» Answer: Explanation: AVERAGE length= (2.48 + 2.46 + 2.49 + 2.50 + 2.48)/5 =2.482. ABSOLUTE ERROR = 2.48 - 2.482 = \|0.002\| 2.46 - 2.482 = \|0.022\| 2.49 - 2.482 = \|0.008\| 2.50 - 2.482 = \|0.018\| 2.48 - 2.482 = \|0.002\| % error = RELATIVE error* 100 = mean absolute error / mean error = [ (0.002) + (0.022) + (0.008) + (0.018) + (0.002) ] / 2.482 = (0.042) / 2.482 = 0.0169 (approx. value) now % error = 0.0169*100 = 1.69%

The length of a rod as measured in an experiment was found to be 2.48 m, 2.46 m, 2.49 m,2.50 m and 2.48 m. Find the average length, the absolute error in each observation and thepercentage error.

Answer»

Answer:

Explanation:

AVERAGE length= (2.48 + 2.46 + 2.49 + 2.50 + 2.48)/5 =2.482.

ABSOLUTE ERROR = 2.48 - 2.482 = |0.002|

2.46 - 2.482 = |0.022|

2.49 - 2.482 = |0.008|

2.50 - 2.482 = |0.018|

2.48 - 2.482 = |0.002|

% error = RELATIVE error* 100 = mean absolute error / mean error

= [ (0.002) + (0.022) + (0.008) + (0.018) + (0.002) ] / 2.482

= (0.042) / 2.482 = 0.0169 (approx. value)

now % error = 0.0169*100 = 1.69%

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The length of a rod as measured in an experiment was found to be 2.48 m, 2.46 m, 2.49 m,2.50 m and 2.48 m. Find the average length, the absolute error in each observation and thepercentage error.

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