EOCT Review Unit 4

Statistics

Stats Mean ◦ Average of the data 3, 6, 8, 2, 9, 14, 2 44 / 7 = 6.3 Median ◦ Middle of the data 2, 2, 3, 6, 8, 9, 14 Mode ◦ Most often seen in data 2, 2, 3, 6, 8, 9, 14 Range ◦ Highest – Smallest 14 – 2 = 12

Stats Upper Quartile ◦ Middle of right half 2, 2, 3, 6, 8, 9, 14 Lower Quartile ◦ Middle of left half 2, 2, 3, 6, 8, 9, 14 IQR ◦ UQ – LQ 9 – 2 = 7 Outliers ◦ IQR x 1.5 = ◦ UQ + = ◦ LQ + = 7 x 1.5 = = – 10.5 = - 8.5

Stats Mean Absolute Deviation ◦ Find the mean ◦ Subtract from each number in the data  Always positive ◦ Find the mean again 2, 2, 3, 6, 8, 9, 14 Mean = – 6.3 = – 6.3 = – 6.3 = – 6.3 = – 6.3 = – 6.3 = 7.7 MAD = 3.5

Probability

Simple Probability The chance of achieving an event out of all events. You are rolling a standard die, what is the probability of rolling a 5?

And / Or Probability OR ◦ = ADD Rolling a standard die, what is the probability of rolling a 5 or even? AND ◦ = MULTIPLY Rolling a standard die, what is the probability of rolling a 4 and odd?

Conditional Probability Finding the probability of the second event GIVEN the first event happened Selecting from a standard deck of cards, what is the probability of selecting a face card given the first card was an ace.

Permutation ORDER MATTERS There are 12 contestants in a contest and prizes are awarded based on points. How many ways can the judges select 1 st, 2 nd, and 3 rd place?

Combinations ORDER DOES NOT MATTER You are allowed to take 2 friends on vacation and you have 10 friends to select from. How many ways can you select the 2 friends?

Experimental vs. Theoretical Experimental ◦T◦T rials you have done How many times you got each number on the die when rolling a die for one minute. Theoretical ◦T◦T rials that are predicted How many times you think you will get each number on the die given one minute to roll the die.