Tray temperature is where a fraction condenses in this column. Boiling range is a property of the molecules themselves. Related, but not the same number — which is why a tray label and a feed's boiling point do not have to match.
These temperatures are model values, not measurements. This column uses a straight-line rule so the pattern is visible; a real one is not straight. Real fractions are roughly: gases below 25 °C, petrol 25–175 °C, kerosene 150–260 °C, diesel 250–350 °C, fuel oils 300–500 °C, bitumen above that. Those ranges overlap — C14 to C16 sit in both kerosene and diesel in real refining, and which one you call them depends on what the refinery is cutting for that day.
Process board
FeedC14H30Furnace350°CCondensation zone—Cracker500°CCatalystFreshEnergy / coking proxyLow