Data Analysis and ProbabilityChapter 12

12.2 Frequency and Histograms

Pg. 732 – 737Obj: 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 DispersionPg. 738 – 744Obj: 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 DispersionMeasures of Central Tendency –

mean, median, and modeOutlier – 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 DispersionMode – the data item that occurs

most oftenMeasure 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 PlotsPg. 746 – 751Obj: 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 PlotsQuartiles – values that divide a

data set into four equal partsInterquartile Range – the difference

between the third and first quartilesMethod 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 PlotsBox-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 ProbabilityPg. 769 – 774Obj: Learn how to find

theoretical and experimental probability.

Content Standards: S.CP.1 and S.CP.4

12.7 Theoretical and Experimental ProbabilityOutcome – the result of a single

trialSample Space – all the possible

outcomesEvent – any outcome or group of

outcomesProbability – tells you how likely it

is that the event will occur

12.7 Theoretical and Experimental ProbabilityTheoretical Probability

Complement of an Event – consists of all outcomes in the sample space that are not in the event

outcomes possible ofnumber

outcomes favorable ofnumber )( eventP

12.7 Theoretical and Experimental ProbabilityOdds

Favorable

eUnfavorablAgainst Odds

eUnfavorabl

FavorableFavorin Odds

12.8 Probability of Compound EventsPg. 776 – 782Obj: 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 EventsCompound 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 EventsDependent Events

◦P(A then B) = P(A) ∙ P(B after A)