STATISTICS AND PROBABILITIES

STATISTICS AND PROBABILITIES

1. BRANCH OF MATHEMATICS THAT MEET, ORGANIZE, PRESENT, ANALYZE AND INTERPRET DATA.

   • TWO TYPES
     • DESCRIPTIVE
     • DESCRIPTIVE
   • CONCEPTS FOR YOUR END
     • POPULATION, SAMPLE, DATA, UNIT STATISTICS, FREQUENCY
       • POPULATION
         • SET OF ALL THE NUMBERS
       • SAMPLE
         • IT IS A SET OF THE POPULATION
       • FACT
         • VALUE OF THE VARIABLE
       • FREQUENCY
         • NUMBER OF TIMES THAT A VALUE IS REPEATED
   • CONTENTS IN
     • DIFFERENT TYPES OF BOARDS
       • TABLE OF FREQUENCIES
         • CONTAINS
           • FREQUENCY
             • NUMBER OF REPETITIONS OF A VALUE
               • ALL HAVE AN ACCUMULATED VALUE
                 • ALL THESE DATA MEETINGS SE REPRESENT THIS
                   • WITH THIS YOU CAN ALREADY CALCULATE OTHER VALUES
                     • RANK
                       • difference between value maximum and value minimum of a set of data
                     • RANK MEANS, MEDIUM
                       • sum between the value maximum and minimum value of data, divided into 2
                     • NUMBER OF LESSONS
                       • Calculated thanks to the square root of total number of data
                       • determine the number of intervals
                     • AMPLITUDE
                       • range is taken over the number of classes
           • FREQUENCY RELATIVE
             • NUMBER OF REPETITIONS OF A VALUE WITH REGARD TO TOTAL
           • FREQUENCY PERCENTAGE
             • MULTIPLYING THE FREQUENCY RELATIVE PER 100
         • THANK YOU THIS GIVE GRAPHICS
           • DIFFERENT TYPES OF GRAPHICS
             • BARS
             • LINES
             • CIRCULARS
             • ÁREAS
             • CARTOGRAMS
             • MIXED
             • HISTOGRAMS
       • DETERMINED THANKS TO
         • CREATION OF A DATA ORGANIZATION WITH APPEARANCE OF FACTORS AS
           • THE MEASUREMENTS OF CENTRAL TREND
             • FASHION
               • MOST REPEATED VALUE IN ALL DATA
                 • BIMODAL
                   • WHEN TWO REPITEN VALUES
                 • MULTIMODAL
                   • MORE THAN TWO DATA
             • HALF
               • SUM OF ALL THE DATA
                 • DIVIDED BY HIM TOTAL DATA
             • MEDIANA
               • IT'S LOCATED HALF OF ALL DATA
             • BRAND OF CLASS
               • DISTRIBUTION OF FREQUENCIES GROUPED
                 • SUM OF INTERVALS DIVIDED IN TWO
     • MEASURES OF POSITION
       • QUARTILES
         • DIVIDE A SET IN 4 EQUAL PARTS
           • Q1: 25% Q2: 50% Q3: 75%
       • DECILES
         • DIVIDE THE SET IN 10 EQUAL PARTS
       • PERCENTILES
         • DIVIDE THE SET IN 100 EQUAL PARTS
     • IT IS ALSO GIVEN
       • VARIANZA
         • AVERAGE DIFFERENCE AMONG EACH OF THE VALUES REGARDING THE HALF
           • THEIR DIFFERENCES ARE ELEVATED TO THE SQUARE, THEY ADD AND DIVIDE BY DIFFERENCE
       • DEVIATION STANDARD
         • DIFFERENCE THAT THERE IS AMONG THE DATA AND THE HALF
           • IT IS CALCULATED WITH THE ROOT SQUARE OF THE VARIANZA
       • COEFFICIENT FROM CORRELATION
         • will indicate what else weak is the association between both variables
       • REGRESSION LINEAR
         • allows quantifying the relationship that can be observed when graph a point diagram scattered
           • Yi= a+b*xi
             • Yi = represents coordinate values along the vertical axis in the graph
             • Xi = on the horizontal axis
             • a: is called the intercept
             • b: be called the pending
   • TO ORGANIZE DATA
     • THERE IS A TABLE SIZE AND SHEET

2. CONTAINS

   • PROBABILITY
     • how possible is that an event occurs determined
       • To the analysis of the events governed by the probability is called statistics
         • HAS SPECIFIC ISSUES FOR THEIR DEVELPMENT
           • BASIC RULES
             • OF ADDITION
             • OF THE MULTIPLICATION OF PROBABILITIES
           • PROBABILITY CONDITIONAL
             • it is calculated as the quotient between the joint probability and probability marginal event imposed as condition
           • INDEPENDENCE STATISTICS
             • Two events A and B are statistically independent if the probability conditional of A given B is equal to its given conditional probability B C
           • HOPE
             • refer to the average gain expected by a player when he does a large number of bets
               • has its origin in gambling
                 • If the mathematical hope is zero, E (x) = 0, the game is fair
           • VARIANZA
             • It is the average of differences with the half raised to square.
           • TYPES OF DISTRIBUTION
             • BINOMINAL
               • un experimento aleatorio S y consideremos asociado con él un suceso A de probabilidad p y sea A* el suceso contrario, cuya probabilidad será q=1-p
             • POISSON
               • a random experiment S and consider an event associated with it A of probability p and let A * be the event opposite, whose probability will be q = 1-p
             • NORMAL
               • WITH THREE OBJECTIVES
                 • Use the normal curve to model distributions
                 • Calculate probabilities using the normal curve
                 • Evaluate the normality of data sets using the use of probability graphs normal

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