# S1 Mindmap

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- Created by: NCFCAssassin
- Created on: 22-03-15 11:38

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- S1
- Representing Data
- Types of Variables
- Qualitative: A variable that describes a characteristic
- Quantitative: A variable that can be given a numerical value
- Discrete: Variables that can only take certain values in a given range (Counted)
- Continuous: Variables that can take any value in a given range (Measured)

- Stem and Leaf diagrams
- Neat columns
- Arranged in ascending or descending order
- Draw a key

- Histograms
- Continuous data (no gaps)
- Y axis shows frequency density
- Area = Frequency
- FD = F/CW

- Cumulative Frequency
- Continuous Data
- Graph never decreases
- Maximum graph height = total frequency

- Types of Variables
- Probability
- Sample Space
- Lists all the possible outcomes of an event, each in a pair of curly brackets

- Exclusivity
- Mutually Exclusive
- Events that CANNOT both happen at the same time

- Non-mutually Exclusive
- Events CAN both happen at the same time
- P(A or B) = P(A) + P(B) - P(A and B)

- Mutually Exclusive
- Dependancy
- Events that are independent are when the outcome of one event has no effect on the outcome of another
- Conditional events are when the outcome of one event has an effect on the outcome of another
- P(B given A) = P(A & B) / P(A)

- Sample Space
- Summarising Data
- Measures of Location (Central Tendency)
- Mean
- Sum of values / number of values
- Mid point used if data is grouped
- Easy to calculate
- Makes use of all data
- Can be used in further statistical calculations
- Can be misleading if there is an abnormally high or low value

- Median
- Middle value of an ordered set of data
- Median = 1/2(n+1)th value
- Simple to understand
- Unaffected by abnormally high or low values
- Sometimes is a member of the data set
- Cannot be used in further calculations

- Mode
- Most common value
- 2 modes means it is bi-modal
- Group with highest frequency density is the modal group
- Simple to understand
- Unaffected by abnormally high or low values
- Most useful to producers
- Cannot be used in further calculations
- Cannot be determined exactly in grouped frequency distributions

- Mean
- Measures of dispersion
- Range
- Largest value - smallest value
- Very limited as it does not consider the pattern of the spread, only the extreme values

- Interquartile range
- Calculates the difference between the upper and lower quartile
- The range of the middle 50% of the distribution

- Box and Whisker plot
- Show lowest, highest values, upper, lower quartiles and median

- Range

- Measures of Location (Central Tendency)

- Representing Data

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