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Context: find Standard deviation of 39.3 41.3 40.3 40.5 41.3 40.54

Question

Context: find Standard deviation of 39.3 41.3 40.3 40.5 41.3 40.54

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Solution

Sure, here are the steps to calculate the standard deviation:

  1. Calculate the Mean (average): Add up all the numbers, then divide by how many numbers there are. In this case, (39.3 + 41.3 + 40.3 + 40.5 + 41.3 + 40.54) / 6 = 40.54

  2. Subtract the Mean and square the result (the squared difference): (39.3 - 40.54)^2 = 1.53 (41.3 - 40.54)^2 = 0.58 (40.3 - 40.54)^2 = 0.06 (40.5 - 40.54)^2 = 0.00 (41.3 - 40.54)^2 = 0.58 (40.54 - 40.54)^2 = 0.00

  3. Calculate the average of those squared differences: (1.53 + 0.58 + 0.06 + 0.00 + 0.58 + 0.00) / 6 = 0.45

  4. Take the square root of that: √0.45 = 0.67

So, the standard deviation of the given numbers is approximately 0.67.

This problem has been solved

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