My first pick would have to be "Chief Guard Makina" from Deadman wonderland.
Since she is the Chief Guard I am pretty sure there are scenes of her looking at monitors.
Other good possibilities that are in the High School age group would be
Kotonoha Katsura: School days (The second half of the series)
Chizuru Akaba: Seitokai no Ichizon
however I don't think they ever watch TV that much.
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