Can logarithmic conversion represent the variability of the original data
The logarithmic transformation cannot represent the variability of the original data. In logarithmic conversion, the variability of the data usually decreases, i.e., large differences in the original data are minimized and small differences are enlarged. This is because the logarithmic function is a slow-growing function, and the logarithmic value grows at a slower rate as the value increases. Therefore, the difference between the logarithmic values after conversion of larger raw data values will be smaller, while the difference between the logarithmic values after conversion of smaller raw data values will be larger. Therefore, the variability of the data changes after logarithmic conversion and does not represent the variability of the original data.