Algebra 2 P49 Pre 10 1 Measures of Central Tendency Box and Whisker Plots Variation and Outliers

Transcription

1 Algebra 2 P49 Pre 10 1 Measures of Central Tendency Box and Whisker Plots Variation and Outliers 10 1 Sample Spaces and Probability Mean Average = 40/8 = 5 Measures of Central Tendency 2,3,3,4,5,6,8,9 Median Order Numbers (Number in the Middle or Mean of two Middle Numbers) = = 9 9/2 = 4.5 Mode Most Frequent 3 is the mode BiModal Data with 2 different Modes Range: Highest Lowest

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4 Lower Extreme Lower Quartile Q1 Median Q2 Upper Quartile Q3 Upper Extreme (Max) 2,3,3,4,5,6,8,9 Box and Whisker Plots (Min) (Med. of Lower Half) (Med.) (Med. of Upper Half) Graphing Calculator

5 Measures of Variation 3,4,5,6,7,7,8,9,9,10,11,12,14,16,18 Outlier An outlier is an item that is substantially different from the rest of the items in the data would be the outlier because it has a difference that is very large

6 Calculating an Outlier...= 1.5xIQR Real Calculation LQ and UQ+ Sample Space Sample Space The set of all possible outcomes Three coins are flipped. List the possible outcomes in the sample space of the experiment.

7 Probability What are the chances that some event will occur? Probability (Event) = Favorable Outcomes Total Outcomes Example: Rolling an Even Number on a Die Experimental Probability What does happen when you do the experiment. (If you toss the coin 100 times, you might get 60 heads and 40 tails.) Flipping a Coin (Results = H, T, H, T, H) Rolling a Die (Result = 1,3,4,5,5,5,5,6)

8 Theoretical Probability What should happen if the experiment is done over and over again. Tossing a coin. (Should be 50% Heads and 50% Tails) Each section of the spinner shown has the same area. The spinner was spun 20 times. The table shows the results. For which color is the experimental probability of stopping on the color the same as the theoretical probability?

9 In the United States, a survey of 2184 adults ages 18 and over found that 1328 of them have at least one pet. The types of pets these adults have are shown in the figure. What is the probability that a pet owning adult chosen at random has a dog? When two six sided dice are rolled, there are 36 possible outcomes, as shown. Find the probability of each event. The sum is not 6. The sum is less than or equal to 9.

10 Geometric Probability Geometric Probability Uses Areas/Lengths/Time to find Probability P(Landing on the Circle) You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. Are you more likely to get 10 points or 0 points?

11 HW58 Pre10 1 and 10 1 WS Please put your name and class period at the top of the homework. Also include the homework number. Stem and Leaf Plot Used to Organize Data so that you can see every number. The numbers have to be put in order first. The stems are on the Left and the leaves are on the Right 13, 8, 21, 14, 32, 7, 3, 18, 33, 20, 32, 15

12 Two Sided Stem and Leaf Plot Percentiles A percentile is a number from 0 to 100 that tells you how much of a data set is less than or equal to X. Find the 30th and 60th Percentile of the following data 3,4,5,6,7,7,8,9,9,10,11,12,14,16,18,20,21,21,22,24 1. Put the numbers in order 2. Count the number of numbers and multiply by.3 and.6 20 x.3 = 6 since 8 is greater than 6 values it is the 30th Perct. 20 x.6 = 12 since 14 is greater than 12 values it is the 60th Perct.