Physics

In order to measure the period of a single pendulum using a stop clock, a student repeated the experiment for $$10$$ times and noted down the time period for each experiment as $$5.1, 5.0, 4.9, 5.1, 5.0, 4.9, 5.1, 5.0, 4.9, 4.9$$s. The correct way of expressing the result for the period is?


ANSWER

$$5.0$$s


SOLUTION
Mean$$=\dfrac{\sum x_if_i}{10}=\dfrac{(4.9\times 4)+(5.0\times 3)+(5.1\times 3)}{10}=4.99s$$

Which can be round off to $$5.0s$$ correct to two significant figures.
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