# S1 Representation & Summary of Data - Location

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

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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

- m - 5.5 = 3.166666

- (m-5.5) / 5 = 9.5 / 15

- (m-5.5) / (10.5-5.5) = (13.5-4) / (19-4)

- 5.5-----m-----10.5 4----13.5-----19

- The median is 27 / 2 = 13.5th value which lies in the interval 5.5 -10.5
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- Example

- To find the Median we use INTERPOLATION
- 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

- m - 5.5 = 3.166666

- (m-5.5) / 5 = 9.5 / 15

- (m-5.5) / (10.5-5.5) = (13.5-4) / (19-4)

- 5.5-----m-----10.5 4----13.5-----19

- The median is 27 / 2 = 13.5th value which lies in the interval 5.5 -10.5
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- Example

- 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)

- FORMULA

- A measure of location
- Coding
- Finding the Mean of original data
- Find the mean of the coded data then make it equal to the code

- Finding the Mean of original data

- Type of Variable
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