What is the probable error of the mean measurement of the baseline?

The probable error of the mean measurement of the baseline is determined by analyzing the precision of multiple measurements and calculating the standard deviation of those measurements divided by the square root of the number of observations. This approach provides an estimate of how much the measured mean might deviate from the true mean value due to random errors inherent in the measurements.

In the context of surveying, the probable error is crucial because it helps to assess the reliability of baseline measurements used in geodetic calculations. The result you provided, showing a probable error of ± 0.024, indicates a high degree of precision and suggests that the measurements taken are closely clustered around the true mean value with minimal variance. This small probable error indicates that the measurement technique employed is effective, and the instrumentation is calibrated well, enabling geodetic engineers to utilize these measurements with confidence in subsequent calculations or assessments.

The other values indicate greater probable errors, which would suggest lower precision and could arise from factors such as instrumentation limitations, measurement technique variability, or environmental influences affecting measurements. Hence, the low probable error is indicative of a high-quality measurement process consistent with best practices in geodetic engineering.