The work required of a statistical consultant is varied in both the statistics required and the subject areas that you work in. Working directly with clients can be particularly rewarding as it gives you a real insight into how your work can benefit an organisation.
Statistical consultants are often required to work on multiple client projects at one time; this can be demanding and require careful time management.
If you work as a freelance consultant there are also likely to be additional pressures over and above delivering client projects, in particular, ensuring that you have sufficient work to keep you busy.