10. presenting and analysing data * averages for discrete data * stem and leaf diagrams * using...
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10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Mean
Median
Mode
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Remember the key
You can also have back-to-back stem and leaf diagrams
10 .Presenting and analysing data
*Stem and leaf diagrams
Remember the key
You can also have back-to-back stem and leaf diagrams
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
The median is not influenced by extreme values
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Lower quartile (LQ):
) n+1/(4 th value
Median:
) n+1/(2 th value
Upper quartile (UQ):
3)n+1/(4 th value
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Range:
Highest value – lowest value
Interquartile range (IQR):
UQ - LQ
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Use a table with a column for fx
10 .Presenting and analysing data
*Averages from frequency distributions
Use a table with a column for fx
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Use a table with columns for mid-point and fm
10 .Presenting and analysing data
*Averages from grouped dataUse a table with columns for mid-point and fm
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
A moving average ‘smooths out’ the data to show the underlying trend
10 .Presenting and analysing data
*Moving averagesA moving average ‘smooths out’ the data to show the underlying trend
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
A scatter diagram is used to see if two sets of data are related
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit
Positive correlation
Zero correlation
Negative correlation
10 .Presenting and analysing data
*Correlation and lines of best fitPositive correlation
Zero correlation
Negative correlation
10 .Presenting and analysing data *Averages for discrete data
*Stem and leaf diagrams
*Using appropriate averages
*The quartiles
*Measures of spread
*Averages from frequency distributions
*Spread from frequency distributions
*Averages from grouped data
*Moving averages
*Scatter diagrams
*Correlation and lines of best fit