Statistics

Worked examples (12)extended set

• 1Scatter diagram, correlation and line of best fit
• 2Combining the means of two groups
• 3Working backwards from a mean
• 4Median, quartiles and mean from a frequency table
• 5Estimated mean with unequal class widths
• 6Finding an unknown frequency from the mean
• 7Mean, median, mode and range from a list
• 8Averages from a bar chart, and choosing the right one
• 9How a correction and a penalty change the averages
• 10Two unknown sector angles from a mean
• 11Finding the data from its averages and range
• 12Estimated mean to 3 significant figures

Worked examples (9)extended set

• 1Completing a scatter diagram
• 2Reading estimates from a line of best fit
• 3Which line is an acceptable line of best fit?
• 4Using the mean point to check a line
• 5Equation of a line of best fit and its gradient in context
• 6Matching scatter diagrams to contexts
• 7A line forced through the origin
• 8When a straight line of best fit is the wrong model
• 9Naming the correlation from a description

Worked examples (12)extended set

• 1Median and quartiles by interpolation
• 2Counting the values between two limits
• 3Working backwards to find a grade boundary
• 4Drawing the cumulative frequency curve and reading from it
• 5Comparing two distributions
• 6Cumulative frequency with unequal class widths
• 7Constructing a cumulative frequency table
• 8From a cumulative frequency curve back to a frequency table
• 9Comparing two cumulative frequency curves
• 10Probability and testing a claim from a cumulative frequency curve
• 11Plotting a curve that does not start at zero
• 12Quartiles and a percentage of the total from a given curve

Worked examples (13)extended set

• 1Frequency density and a part-interval estimate
• 2Reading a pie chart backwards
• 3Stem-and-leaf diagram
• 4Scatter diagram with an outlier
• 5Recovering frequencies from a histogram
• 6Quartiles from histogram data
• 7Constructing a pie chart
• 8Completing a histogram and its frequency table
• 9Interpreting a composite bar chart
• 10A histogram with no scale on the frequency density axis
• 11Completing and reading a percentage composite bar chart
• 12Histogram bar heights from one given bar
• 13Completing a stem-and-leaf diagram from clues