Specification of IF transformers
I am guessing that the listed impedances are actually resistances,


No, they are the impedances of the circuit they are used in. The DC coil resistances will be much lower (as they should be for low loss). 

A transformer 'reflects' the circuit impedance on one side to the other, transformed by the turns ratio squared. So if a source with impedance of 60K&ohm; was connected to the primary side of a 10:1 transformer, it would appear as 600&ohm; (102 = 100 times less) on the secondary side.  

The IF transformers in your table are typically used in AM broadcast receivers that use one bipolar transistor per stage. Each stage has different input and output impedances, which the transformers are designed to match. Here is an example:-

  

Note the center tap on the primary side of each IFT (which improves Q by reducing loading on the tuned circuit). To determine the primary to secondary turns ratio and resulting impedance transformation, we must decide which primary coil the input will be connected to. For example, using coil 1-2 of the 1st (yellow) IFT we get a turns ratio of 70:7 = 10:1, which would transform 60k&ohm; to 600&ohm; (or 30K&ohm; to 300&ohm;, or...).