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Calculate the standard deviation of the following list of numbers:3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3

A) 0
B) 1
C) 2
D) 3

1 Answer

3 votes

Final answer:

A) 0. The standard deviation of the given list of numbers is 0.

Step-by-step explanation:

To calculate the standard deviation of a given list of numbers, you need to follow these steps:

  1. Find the mean (average) of the numbers.
  2. Subtract the mean from each number and square the result.
  3. Find the average of the squared differences.
  4. Take the square root of the average to find the standard deviation.

In this case, the list of numbers is all 3s, so the mean is also 3. Subtracting 3 from each number and squaring the result gives you all 0s. The average of these squared differences is 0, and the square root of 0 is 0.

Therefore, the standard deviation of this list of numbers is 0 (A).

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