Seven baseball players are trying out for a team and the coach wants to see who can throw the baseball the farthest. the distance each player threw the baseball is recorded in the list below.

74 yards, 88 yards, 94 yards, 80 yards, 95 yards, 102 yards, 91 yards.

part 1:

determine the median and the mean for 7 throws, to the nearest yard. show or explain how you got your answers.

the coach allowed two additional players to try out for the team, and each player threw the ball a distance of 91 yards.

part 2:

what effect will these two additional distances have on the median and mean you calculated? show or explain your work and justify your answers.

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.