apt4Maths: PowerPoint Presentation (Lesson 6 of 7) on Analysing Data: CUMULATIVE FREQUENCY DIAGRAMS

PowerPoint Presentation on Cumulative Frequency (25 slides): Explains how to produce and interpret a cumulative frequency table, how to draw and interpret cumulative frequency curves or polygons, and how to find quartiles, deciles and percentiles as well as the interpercentile range.

This is 1 of a set of 7 PowerPoints on ‘Analysing Data’. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes:

Lesson objectives
Step-by-step explanations of the subject matter
Examples to aid understanding
Questions to check understanding
Answers to questions, with explanations
Suggestions regarding which topic(s) should be moved on to next.

The complete set of 7 PowerPoints (129 slides, excluding Title Pages) covers the following statistical-based topics relating to ‘Analysing Data’:

01 Averages – Mode (19 slides): Reviews and interprets different types of data representations before explaining what a modal average is and how to find the mode for qualitative or discrete data. It also explains how to find the modal class for grouped or continuous data.
02 Averages – Median (19 slides): Reviews and interprets different types of data representations before explaining what a median average is, how to find the median for discrete data, and how to find the median class for grouped or continuous data. It also explains how to calculate an estimate of the median for continuous data.
03 Averages – Mean (19 slides): Reviews and interprets different types of data representations before explaining what a mean average is, how to find the mean for discrete data, and how to calculate an estimate of the mean for grouped or continuous data.
04 Measures of Dispersion – Range (16 slides): Reviews and interprets different types of data representations before explaining how to calculate the range for discrete data and how to calculate the maximum range for grouped or continuous data.
05 Measures of Dispersion – Interquartile Range (20 slides): Explains how to calculate the interquartile range for discrete data, and how to find the interquartile range from a cumulative frequency curve or polygon. It also explains how to estimate the interquartile range for continuous data.
06 Cumulative Frequency (25 slides): Explains how to produce and interpret a cumulative frequency table, how to draw and interpret cumulative frequency curves or polygons, and how to find quartiles, deciles and percentiles as well as the interpercentile range.
07 Box (& Whisker) Plots (11 slides): Explains how to produce and interpret a box (and whisper) plot, and explains about distribution shapes and skewness, and how to compare distributions. It also explains how to determine ‘outlier’ values for box plots using the IQR.

Note:

Finding averages from stem and leaf diagrams and histograms is included in this pack of work. Drawing up these diagrams is in included within APTs pack on ‘Collecting & Presenting Data’.