Statistis presentatio
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Statistis presentatio

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Statistis presentatio Statistis presentatio Presentation Transcript

  • PRESENTATION OF DATA
    TEXTUAL
    TABULAR
    GRAPHIC
  • FUNCTIONAL PARTS OF TABLE
    • TABLE NUMBER
    • TITLE
    • HEAD NOTE
    • STUB (RAW HEAD)
    • BOX HEAD
    • BODT OR FIELD
    • FOOT NOTE
    • SOURCE NOTE
  • SIGNIFICANCE OF GRAPHS
    ATTRACTIVE PRESENTATION
    SIMPLIFY COMPLEXITY
    READILY INTELLIGIBLE
    FACILITATE COMPARISON
    SAVE TIME
    HAVE GREAT MEMORISING EFFECT
    CAN LOCATE MEDIAN MODE Etc.
  • LIMITATIONS
    ONLY APPROXIMATE PICTURE OF DATA
    ONLY FOR COMPARATIVE STUDIES
    CAPABLE OF BEING MISUSED EASILY
    LIMITED AMOUNT OF INFORMATION
    MEAN ONLY FOR LAYMAN
  • SIMPLE BAR DIAGRAM
  • SUB DIVIDED BAR DIAGRAM
  • MULTIPLE BAR DIAGRAM
  • PERCENTAGE BAR DIAGRAM
  • PIE DIAGRAM
  • PIE CHART
  • PICTOGRAMS
    PICTOGRAMS ARE PICTORIAL REPRESENTATION OF STATISTICAL DATA
    ATTRACTS LAYMAN
    DIFFICULT TO CONSTRUCT
    NOT GIVE MINUTE DETAILS
  • CARTOGRAMS
    CARTOGRAMS ARE STATISTICAL MAP PRESENTATION WHICH ARE USED TO GIVE DATA OVER A GEOGRAPHICAL AREA.
    RAIN FALL IN INDIA
    DENSITY OF POPULATION
  • HISTOGRAM
  • FREQUENCY POLYGON
  • FREQUENCY CURVES
    FREQUENCY CURVES ARE SMOOTH CURVED LINES OVER FREQUENCY POLYGON
    AREA UNDER POLYGON AND
    CURVE ARE SAME
  • OGIVES
    LESS THAN OGIVES
    MORE THAN OGIVES
  • OGIVE BY LESS THAN METHOD
  • OGIVE BY MORE THAN
  • TIME SERIES GRAPH
  • INDEX NUMBERS
    INDEX NUMBER MEASURE CHANGES IN A VARIABLE WITH RESPECT TO TIME
  • SIMPLE INDEX NUMBERS
    P01= INDEX NUMBER OF CURRENT YEAR
    ∑P1 = TOTAL OF CURRENT YEAR PRICES
    ∑P0 = TOTAL OF BASE YEAR PRICES
  • Construct index number for2000 on the base of 1991
  • price in 2000 were 27.96% higher than 1999 price
  • Construct index number for1980 on the base of 1979
  • Price increased 20% in the year 1990 than 1989
  • Weighted index number(Laspeyers method)
    Here base year quantities(q0) are taken as weights
  • Construct weighted index number for1999 on the base of 1998
  • solution
  • Construct weighted index number
  • Measures of central tendencies
    Average
    AN AVERAGE VALUE IS A SINGLE VALUE THAT IS USED TO REPRESENT ALL THE VALUES IN THE SERIES
    TYPES OF AVERAGES
    ARITHMETIC MEAN
    MEDIAN
    MODE
  • ARITHMETIC MEAN
    MEAN IS OBTAINED BY DEVIDING THE SUM OF GIVEN OBSERVATION BY THEIR NUMBER
  • INDIVIDUAL SERIES
    FIND MEAN
    Arithmetic mean =
    = 17
  • Discrete series
  • CONTINUOUS FREQUENCY DISTRIBUTION
  • MEDIAN
    MEDIAN IS THE MIDDLE MOST OBSERVATION,AFTER THE OBSERVATION ARRANGED IN ASCENDING OR DECENDING ORDER OF THE MAGNITUDE
  • N=11 (n is odd)
    MEDIAN =
    MEDIAN-INDIVIDUAL SERIES
  • IF n IS EVEN median =
  • Median – discrete series
    20th ITEM
    20th item lies in 23 cf the size of item is 10 or median is 10
  • CONTINUOUS SERIES - MEDIAN
    L= lower limit of median class
    Cf = cumulative frequency of
    class preceding median class.
    F = frequency of median class
    C = class interval of median class
  • Median class80/2=4040 lies in 140-160 class
    =140+6.67=146.67
  • MODE
    MODE IS THE MOST FREQUENT OBSERVATION
    INDIVIDUAL SERIES-BY INSPECTION U CAN FIND
    11,12,11,13,10 MODE=11
    DISCRETE SERIES– ITEM WITH HIGH FREQUENCY
    VALUE 12 HAS HIGH FREQENCY THEREFORE
    MODE = 12
  • MODE- CONTINUOUS SERIES
    L1 = Lower limit of modal class
    F1,f2 = frequof classes just preceding and
    Succeeding modal class
    C = class interval of modal class
  • Compute mode
    Highest frequency is 30
    Modal class-20-25
    20+2.4 =22.4
  • LOCATING MODE GRAPHICALLY
  • DISPERSION
    DISPERSION MEASURES THE EXTEND TO WHICH THE ITEM VARY FROM SOME CENTRAL VALUE
    THEY ARE AVERAGES OF DEVIATION TAKEN FROM AN AVERAGE
  • RANGE
    SIMPLEST MEASURE OF DISPERSION
    RANGE = L-S
    L = LARGEST ITEM
    S = SMALLEST ITEM
    COEFFICIENT OF RANGE=
  • COMPUTE RANGE AND COEFFICIENT OF RANGE
    RANGE =L-S
    L=230
    S = 30
    230-30=200
    COEFFICIENT OF RANGE=
  • CORRELATION
    CORRELATION IS A NUMERICAL MEASURE OF ASSOCIATION BETWEEN TWO VARIABLES
    TYPES
    POSITIVE OR NEGATIVE CORRELATION
    LENEAR AND NON LENEAR CORRELATION
    LINEAR THE RATIO=1:7
  • THANK YOU
    GOD BLESS YOU