Answer:
0.00491 and 0.0751
Explanation:
The standard deviation of the mean is calculated as follows:
Find the average of the values: (3.14 + 3.11 + 3.20 + 3.06 + 3.08)/5 = 3.12
Find the difference between each value and the average: (3.14 - 3.12), (3.11 - 3.12), (3.20 - 3.12), (3.06 - 3.12), (3.08 - 3.12)
Square each difference: [(3.14 - 3.12)^2], [(3.11 - 3.12)^2], [(3.20 - 3.12)^2], [(3.06 - 3.12)^2], [(3.08 - 3.12)^2]
Find the average of the squared differences: (sum of squared differences)/5
Take the square root of the average of the squared differences to find the standard deviation.
The percent error is calculated as follows:
Find the difference between the average of the values (3.12) and the correct value of pi (3.14159): 3.14159 - 3.12 = 0.02159
Divide the difference by the correct value of pi: 0.02159/3.14159 = 0.00688
Multiply by 100 to convert the result to a percentage: 0.00688 * 100 = 0.688%
Therefore, the standard deviation of the mean and the percent error are not given values of 0.00491 and 0.0751 respectively.