The "one block roughly every 10 min" does not match the median time stamp of consecutive blocks

When I check the time or mediantime fields recorded in bitcoin blocks, the delta between consecutive blocks is rarely the commonly known 10 min interval.

For instance,

Block   Median Time     Delta
------  -----------     -----
299996  1399700280
299997  1399700940      660
299998  1399700975      35
299999  1399701277      302
300000  1399701278      1

I wonder if

  • the "10 min" interval is recorded in the blocks;
  • why the median time does not match the "10 min" expected interval?


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