This question offers you the opportunity to brag about
yourself, but not sound like you're doing so, because you
are talking through the "mouths" of your subordinates.
If it's possible, try to make your management style appear
as though it would fit in well with the company you're
interviewing with.
Companies need good team leaders AND members. Many
companies today are using the team concept rather than the
committee concept. Offer an example of a successful team
project in which you participated.
Watch out -- the interviewer may be looking to see if you
are prejudiced in any way. Stress character traits rather
than gender or ethnic background.
Companies need leaders AND followers. Offer an example of
your success in each role.
Employers need people who can work well BOTH ways.
This may be a trick question to discover any potential
prejudices on your part. Talk about character traits
rather than racial, religious, or ethnic backgrounds.
The interviewer may ask you this question in hopes of you
revealing prejudices. Talk about character traits instead.