Yes, mean is a Scrabble word!

Verb

1. Mean or intend to express or convey

2. Have as a logical consequence

3. Denote or connote

4. Have in mind as a purpose

5. Have a specified degree of importance

6. Intend to refer to

7. Destine or designate for a certain purpose

Adjective

1. Approximating the statistical norm or average or expected value

2. Characterized by malice

3. Having or showing an ignoble lack of honor or morality

4. Excellent

5. Marked by poverty befitting a beggar

6. (used of persons or behavior) characterized by or indicative of lack of generosity

7. (used of sums of money) so small in amount as to deserve contempt

8. Of no value or worth

Noun

1. An average of n numbers computed by adding some function of the numbers and dividing by some function of n