A deck of 100 cards is numbered from 1 through 100. The deck is shuffled and three cards are drawn without replacement. Let X be the value of the first card dealt, Y be the value of the second card dealt, and Z be the value of the third card dealt. Calculate P (X < Y < Z). Explain your reasoning.

a) 83

b) mean and mode are both 83

Step-by-step explanation:

a) mean is the average. so add all the numbers and divide by the number of numbers.

88 + 73 + 81 + 83 + 79 + 94 + T = 83

7

b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94

mode - which number shows up most frequently?