The standard deviation has the same unit as the variable, and will scale with them when you change units. The correlation coefficient, on the other hand, is unitless.

Is standard deviation in the same units as the mean?

The standard deviation (denoted σ) also provides a measure of the spread of repeated measurements either side of the mean. An advantage of the standard deviation over the variance is that its units are the same as those of the measurement.

Is standard deviation in raw units?

VI.

The Standard Deviation is simply the square root of the variance. It represents an average measure of the amount each score deviates from the mean. The standard deviation is in the same units as the original raw scores so is an ideal measure of variability.