The 6 participants in a 200 -meter dash had the following finishing times (in seconds).
\[
25,26,28,27,27,29
\]
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Assuming that these times constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Final Answer: The standard deviation of the population is \(\boxed{1.29}\).
Step 1 :The 6 participants in a 200-meter dash had the following finishing times (in seconds): \(25, 26, 28, 27, 27, 29\).
Step 2 :We first need to find the mean (average) of the data. The mean is \(27.0\).
Step 3 :Next, for each number in the data, we subtract the mean and square the result. The squared differences are \(4.0, 1.0, 1.0, 0.0, 0.0, 4.0\).
Step 4 :We then find the mean of these squared differences. This is called the variance. The variance is \(1.6666666666666667\).
Step 5 :Finally, we take the square root of the variance to get the standard deviation. The standard deviation is \(1.29\).
Step 6 :Final Answer: The standard deviation of the population is \(\boxed{1.29}\).