1. EOCT Review Unit 4

2. Statistics

3. 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

4. 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 9 + 10.5 = 19.5 2 – 10.5 = - 8.5

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 2 – 6.3 = 4.3 3 – 6.3 = 3.3 6 – 6.3 = 0.3 8 – 6.3 = 1.7 9 – 6.3 = 2.7 14 – 6.3 = 7.7 MAD = 3.5

6. Probability

7. 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?

8. 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?

9. 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.

10. 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?

11. 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?

12. 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.