S1 Representation & Summary of Data - Location

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  • Representation & Summary of Data - Location
    • Type of Variable
      • Number = Quantitative
      • Description = Qualitative
    • Classification
      • Any Value = Continuous Variable
      • Specific Values = Discrete Variable
    • DEFINE CUMULATIVE FREQUENCY
      • A running total of frequencies
    • Grouped Data
      • Commonly known as CLASSES
      • Need to find CLASS BOUNDARIES
        • To find the Median we use INTERPOLATION
          • Example
            • The median is 27 / 2 = 13.5th value which lies in the interval 5.5 -10.5
              • 5.5-----m-----10.5 4----13.5-----19
                • (m-5.5) / (10.5-5.5) = (13.5-4) / (19-4)
                  • (m-5.5) / 5 = 9.5 / 15
                    • m - 5.5 = 3.166666
                      • median = 8.67
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      • Need to find MID-POINT OF CLASS
      • Need to find CLASS WIDTH
      • To find the Median we use INTERPOLATION
        • Example
          • The median is 27 / 2 = 13.5th value which lies in the interval 5.5 -10.5
            • 5.5-----m-----10.5 4----13.5-----19
              • (m-5.5) / (10.5-5.5) = (13.5-4) / (19-4)
                • (m-5.5) / 5 = 9.5 / 15
                  • m - 5.5 = 3.166666
                    • median = 8.67
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    • DEFINE AVERAGE
      • A measure of location
        • MODE = Value that occurs most often
        • MEDIAN = the middle value when data is put in order
        • MEAN = the sum of all observations divided by the total number of observations
          • FORMULA
            • Everything of x / n
          • COMBINED MEAN FORMULA
            • (n1*mean1)+(n2*mean2 / (n1+n2)
    • Coding
      • Finding the Mean of original data
        • Find the mean of the coded data then make it equal to the code
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