

In common speech yes average can be interpreted as the mean. 
Average. A calculated "central" value of a set of numbers. To calculate: add up all the numbers, then divide by how many numbers there are. Mean. The mean is the average of the numbers: a calculated "central" value of a set of numbers. To calculate: Just add up all the numbers, then divide by how many numbers there are. Median. The middle number (in a sorted list of numbers). To find the Median, place the numbers you are given in value order and find the middle number. Mode. The number which appears most often in a set of numbers. 
1 2 2 3 4 5 5 5 6 7 7 _ ___ _ _ _____ _ ___ 1 2 1 1 3 1 2 Value 5 has the largest count (there are three of them). Hence the mode is 5. 
In common speech yes average can be interpreted as the mean. In common speech? Math definitions say it is the same too: 
There are no such things as the "mean average", "median average", and "mode average". 
Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your prestatistics courses, if the topic comes up at all. The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first. The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list. 
(In the above, I've used the term "average" rather casually. The technical definition of "average" is the arithmetic mean: adding up the values and then dividing by the number of values. Since you're probably more familiar with the concept of "average" than with "measure of central tendency", I used the more comfortable term.) 
Wikipedia wrote: 

However, the word "average" can be used to refer to the median, the mode, or some other central or typical value. 
In statistics, an average is defined as the number that measures the central tendency of a given set of numbers. There are a number of different averages including but not limited to: mean, median, mode and range. 
Ah, but if you scroll down the page a little further: (In the above, I've used the term "average" rather casually. The technical definition of "average" is the arithmetic mean: adding up the values and then dividing by the number of values. Since you're probably more familiar with the concept of "average" than with "measure of central tendency", I used the more comfortable term.) So the person who wrote this is using "average" loosely to mean "measure of central tendency". 
etc as you did with mean average, mode average, etc. 
But just keep in mind that in most (almost all, I'd say) cases, when someone refers to the average of a set of data, he/she is probably talking about the arithmetic mean. 