Question

how is the average value of several measurements calculated?
○ average value = \\(\sqrt{\frac{\text{measurement}_1 + \text{measurement}_2 + \text{measurement}_3\dots}{\text{total number of measurements}}}\\)
○ average value = \\(\sqrt{\frac{\text{measurement}_1 + \text{measurement}_2 + \text{measurement}_3\dots}{\text{total number of measurements} - 1}}\\)
○ average value = \\(\frac{\text{measurement}_1 + \text{measurement}_2 + \text{measurement}_3\dots}{\text{total number of measurements} - 1}\\)
○ average value = \\(\frac{\text{measurement}_1 + \text{measurement}_2 + \text{measurement}_3\dots}{\text{total number of measurements}}\\)

Explanation:

The average (arithmetic mean) of a set of measurements is calculated by summing all the measurements and then dividing by the total number of measurements. The square root operation is used for standard deviation or root - mean - square, not for the average. Also, we don't subtract 1 from the number of measurements when calculating the average (subtracting 1 is used in some cases for sample standard deviation). So the correct formula is the sum of the measurements divided by the total number of measurements.

Answer:

D. Average value $=\frac{\text{Measurement}_1+\text{Measurement}_2+\text{Measurement}_3\ldots}{\text{Total number of measurements}}$