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A sample of size [tex]n = 10[/tex] is drawn from a population. The data is shown below:

46.3, 39.6, 59.7, 29.3, 59.7, 14.9, 20.1, 30.3, 59.7, 37.6

What is the standard deviation of this data set?

Answer :

Final answer:

To calculate the standard deviation of a data set, you can find the mean, calculate the deviations from the mean, square each deviation, find the sum of squared deviations, divide by n-1, and take the square root. By following these steps, you can find the standard deviation.

Explanation:

To calculate the standard deviation of this data set, you can follow these steps:

  1. Find the mean of the data set by summing all the values and dividing by the sample size (n). In this case, the sum is 386 and n is 10, so the mean is 386/10 = 38.6.
  2. Calculate the deviation of each data point from the mean. Subtract the mean from each data point.
  3. Square each deviation.
  4. Find the sum of all the squared deviations.
  5. Divide the sum of the squared deviations by n-1 (the sample size minus 1).
  6. Take the square root of the result to find the standard deviation.

By following these steps, you can find the standard deviation of the given data set.

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