It's hard to tell, without knowing the test conditions. Transistors usually need about 0.6V between the base and emitter before they turn on (this is a very rough estimate, it varies from transistor to transistor, and it's really the current that is important, not the voltage, as they a current controlled devices) . so of NPN the base needs about 0.6V above the emitter, for PNP the base is 0.6V below the Emitter. Your test showed about a 0.5V difference, so the transistor might not have turned on (IE stayed high resistance), and led to the collector voltage being low.
Your diagram has voltages measured, some which look a little off, like real world values. But it doesn't say the test conditions, and you'd have to replicate the test conditions to get similar voltages.
Transistors usually fail short, or open. so either you'd measure all 3 legs as shorted together, or no "diode drop" in diode mode between the base emitter, and base collector. It depends on the failure mode. Try diode measurement on your meter, between the base emitter, and see if you get a reading of about 0.3V - 0.7V. It'll only work one way, the other should show open. (though this can be affected in circuit by other components).