sr = (s / x)
. 100 [%]
sx
= s / √n
Use the following formulas:
| standard deviation | |
| relative standard deviation | sr = (s / x)
. 100 [%] |
| standard deviation of the mean | sx
= s / √n |
n - size of sample (No of measurements), in this case n
= 10
x - arithmetic mean
Example:
measured values xi |
xi - x | power | round | |
| x1 | 9.63 | -0.04 | 0.001764 | |
| x2 | 9.63 | -0.04 | 0.001764 | |
| x3 | 9.65 | -0.02 | 0.000484 | |
| x4 | 9.70 | 0.03 | 0.000784 | |
| x5 | 9.67 | 0.00 | 0.000004 | |
| x6 | 9.85 | 0.18 | 0.031684 | |
| x7 | 9.57 | -0.10 | 0.010404 | |
| x8 | 9.81 | 0.14 | 0.019044 | |
| x9 | 9.65 | -0.02 | 0.000484 | |
| x10 | 9.56 | -0.11 | 0.012540 | |
| arithmetic mean x | 9.67 | sum | 0.078960 | |
| sum / (n - 1) | 0.008773 | |||
| s = | square root | 0.093666 | 0.094 | |
| sr= (s / x) . 100 [%] = | 0.968425 | 0.97 [%] | ||
| sx = s / √n | 0.02962 | 0.030 | ||
