Fees buy block space, not bitcoin value
A transaction moving 0.01 BTC can cost more than one moving 10 BTC if it has more inputs or bids a higher sat/vB rate. Miners generally compare fee rate because blocks have limited weight.
Historical averages can hide spikes
Demand can change within minutes. A daily median may hide a short rush, while a peak may describe only a few blocks. Always pair the time range with the statistic.
Estimate your own transaction in the UTXO planner or inspect the live backlog in the mempool explorer.