the conditions for administrative reviews are here:
http://www.ukba.homeoffice.gov.uk/visas ... ve-review/
The question "Have you ever been refused a visa for any country including the UK?" relates to entry clearance (=visa) applications and assuming your NO answer was correct the only error was the NO answer to the question "Have you made an application to the Home Office to remain in the UK in the last 10 years?".
Since you did declare that you had been in the UK and had a visa previously IMHO it can be argued that the erroneous answer was a genuine mistake and no deception was intended.
Presumably your NO answer to the question "Have you ever been in breach of your immigration conditions for the UK? " was also correct.
It would be a good idea to engage a professional advisor who would be familiar with your full immigration history to help with the request for an administrative review.