In: Statistics and Probability
27. English editions of Scrabble have 100 letter tiles, distributed as follows and as above:
• 2 blank tiles (scoring 0 points)
• 1 point: E ×12, A ×9, I ×9, O ×8, N ×6, R ×6, T ×6, L ×4, S ×4, U ×4
• 2 points: D ×4, G ×3
• 3 points: B ×2, C ×2, M ×2, P ×2
• 4 points: F ×2, H ×2, V ×2, W ×2, Y ×2
• 5 points: K ×1
• 8 points: J ×1, X ×1
• 10 points: Q ×1, Z ×1
a. What is the mean point value of the full set of Scrabble tiles?
b. What is the median point value of the full set of Scrabble tiles?