Real vs Average Power: Which is Correct?

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The discussion centers on the confusion between average power and real power in electrical systems, both expressed by the equation P = VrmsIrmsCos(phi). Participants note that while the rms values are indeed averages, the terms "average power" and "real power" can be misleading. The consensus suggests that the equation accurately represents real power, as it accounts for the phase difference between voltage and current. Clarification is needed on terminology, as "average power" typically refers to the same concept in this context. Understanding the distinction is crucial for accurate calculations in electrical engineering.
influx
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So I was reading through my course's lecture slides and it appears to contradict.

In one slide it states that the average power, P = VrmsIrmsCos(phi)

in another slide it states that the real power, P = VrmsIrmsCos(phi)

Which one is correct?
 
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Since the rms value is the average value, and they are used to calculate real power.. the equation is calculating average real power
 

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