S1 Representation & Summary of Data - Location

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• Created by: ayo
• Created on: 22-09-13 12:52
• 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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