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A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be

Asked in JEE Main 2016 · Mean and standard deviation of readings

Answer: (1) 92±2 s

Step-by-step solution

Readings: 90, 91, 95, 92 s.

Mean: (368)/4=92 s.

Deviations: 2, 1, 3, 0 s.

Mean absolute deviation: 6/4=1.5 s.

The clock reads to 1 s, so the uncertainty is rounded to that precision: 2 s.

Reported: 92±2 s.

Why the other options are wrong

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