Data Analysis and Probability Chapter 12

12.2 Frequency and Histograms Pg. 732 – 737 Obj: Learn how to make and interpret frequency tables and histograms. Content Standards: S.ID.1 and N.Q.1

12.2 Frequency and Histograms Frequency – the number of data values in an interval Frequency Table – groups a set of data values into intervals and shows the frequency for each interval Histogram – a graph that can display data from a frequency table Cumulative Frequency Table – shows the number of data values that lie in or below a given interval

12.3 Measures of Central Tendency and Dispersion Pg. 738 – 744 Obj: Learn how to find mean, median, mode, and range. Content Standards: S.ID.2, S.ID.3, and N.Q.2

12.3 Measures of Central Tendency and Dispersion Measures of Central Tendency – mean, median, and mode Outlier – a data value that is much greater or less than the other values in the set Mean – sum of the data values/total number of data values Median – the middle value of a data set when the values are arranged in order

12.3 Measures of Central Tendency and Dispersion Mode – the data item that occurs most often Measure of Dispersion – describes how spread out the data values are Range of a set of data – the difference between the greatest and least data values

12.4 Box-and-Whisker Plots Pg. 746 – 751 Obj: Learn how to make and interpret box-and-whisker plots and to find quartiles and percentiles. Content Standards: S.ID.2, N.Q.1, and S.ID.1

12.4 Box-and-Whisker Plots Quartiles – values that divide a data set into four equal parts Interquartile Range – the difference between the third and first quartiles Method for Summarizing a Data Set ◦ Arrange the data set in order from least to greatest ◦ Find the minimum, maximum, and median ◦ Find the first quartile and third quartile

12.4 Box-and-Whisker Plots Box-and-Whisker Plot – a graph that summarizes a set of data by displaying it along a number line Percentiles – separate data sets into 100 equal parts Percentile Rank – the percentage of data values that are less than or equal to the value

12.7 Theoretical and Experimental Probability Pg. 769 – 774 Obj: Learn how to find theoretical and experimental probability. Content Standards: S.CP.1 and S.CP.4

12.7 Theoretical and Experimental Probability Outcome – the result of a single trial Sample Space – all the possible outcomes Event – any outcome or group of outcomes Probability – tells you how likely it is that the event will occur

12.7 Theoretical and Experimental Probability Theoretical Probability Complement of an Event – consists of all outcomes in the sample space that are not in the event

12.7 Theoretical and Experimental Probability Odds

12.8 Probability of Compound Events Pg. 776 – 782 Obj: Learn how to find probabilities of mutually exclusive, inclusive, independent, and dependent events. Content Standards: S.CP.7 and S.CP.8

12.8 Probability of Compound Events Compound Event – consists of two or more events linked by the word “and” or the word “or” Mutually Exclusive Events ◦ P(A or B) = P(A) + P(B) Inclusive or Overlapping Events ◦ P(A or B) = P(A) + P(B) – P(A and B) Independent Events ◦ P(A and B) = P(A) ∙ P(B)

12.8 Probability of Compound Events Dependent Events ◦ P(A then B) = P(A) ∙ P(B after A)