It is impossible to say without having a better idea of what kind of dispersion is interesting to the problem.

(Assume zero medians in the following examples.)

The one with a wide range might be clustered very tight to the mean with the occasional extreme point (say a zillion), while the other might be fairly normally distributed with a standard deviation of only a few hundred-thousand, meaning that the “mainstream” is spread over a range of maybe a million or so, but a point like a zillion isn’t going to be present.

“Dispersion” then comes down to a subjective judgment, as it doesn’t have the exact mathematical formula that, say, standard deviation has.

It is impossible to say without having a better idea of what kind of dispersion is interesting to the problem.

(Assume zero medians in the following examples.)

The one with a wide range might be clustered very tight to the median with the occasional extreme point (say a zillion), while the other might be fairly normally distributed with a standard deviation of only a few hundred-thousand, meaning that the “mainstream” is spread over a range of maybe a million or so, but a point like a zillion isn’t going to be present.

“Dispersion” then comes down to a subjective judgment, as it doesn’t have the exact mathematical formula that, say, standard deviation has.

It is impossible to say.

(Assume zero medians in the following examples.)

The one with a wide range might be clustered very tight to the mean with the occasional extreme point (say a zillion), while the other might be fairly normally distributed with a standard deviation of only a few hundred-thousand, meaning that the “mainstream” is spread over a range of maybe a million or so, but a point like a zillion isn’t going to be present.

“Dispersion” then comes down to a subjective judgment, as it doesn’t have the exact mathematical formula that, say, standard deviation has.

It is impossible to say without having a better idea of what kind of dispersion is interesting to the problem.

(Assume zero medians in the following examples.)

The one with a wide range might be clustered very tight to the mean with the occasional extreme point (say a zillion), while the other might be fairly normally distributed with a standard deviation of only a few hundred-thousand, meaning that the “mainstream” is spread over a range of maybe a million or so, but a point like a zillion isn’t going to be present.

“Dispersion” then comes down to a subjective judgment, as it doesn’t have the exact mathematical formula that, say, standard deviation has.