# Statistics Lessons

Lesson titleDescription (objectives)Lesson WorksheetCalculator requiredProblem Solving QuestionsProblem Solving Worksheet
Bar charts To be able to draw bar charts from given data, followed by being able to interpret bar charts - reading information   Box plots (from raw data, or when given the median and quartiles) To be able to read, draw and compare box plots when given   Averages in grouped data, finding median or modal group and estimating the meanTo be able to establish modal group, group containing median and leading onto being able to estimate the mean from a grouped table Calculate Mean, Median and Mode from Frequency TablesTo be able to calculate Mean, Median and Mode from frequency tables    Frequency Tables & Grouping Data- To be able to record data in a frequency table

- To be able to group continuous data and record (grouped data)
it in a grouped frequency table Calculate Median To be able to calculate the Median from an odd number of values, leading onto an even number of values - extending to using negative numbers  Mean Calculations

- To be able to use the Mean Formula to calculate problems

- To be able to combine mean calculations   Calculate Mean, Mode and Range (Averages)To be able to calculate Mean and Mode Averages, and Range from a list of values - extending to using negative numbers  Complete a two-way table To be able to read, interpret and complete two way tables - leading onto using two way tables for probabilities. Cumulative frequency table To be able to complete cumulative frequency tables, and plot cumulative frequency graphs. Leading onto being able to interpret cumulative frequency tables/graphs to find median and interquartiles and interquartile ranges. Dual bar chartTo be able to draw dual bar charts from given data, followed by being able to interepret dual bar charts - reading information  Histograms with unequal class intervals, using frequency density To be able to to calculate Frequency Density and Draw Histograms with unequal class sizes    Interpreting Histograms/Frequency Denisty Diagrams To be able to interpret Histograms or Frequency Density Diagrams to solve questions    Line GraphsTo be able to draw line graphs and interpret line graphs extending to working with tables involving negatives Lines of Best fitTo be able to draw lines of best fit, predict values based on line of best fit - and to determine if outliers exist PictogramsTo be able to intrepret pictograms from given data, followed by being able to draw pictograms from given information   Pie chart To be able to intrepret pie charts from given data, followed by being able to draw pie charts from given information   Scatter graphs & CorrelationTo be able to draw scatter graphs, interpret scatter graphs and establish correlations   QuartilesTo be able to find uppper and lower quartiles of a set of numbers, leading onto identifying the inter-quartile range of a set of numbers
Mutually Exclusive Events- To understand the term 'mutually exclusive'
- To be able to calculate the probability an event won't happen
- To be able to fill in missing probabilities in a table  Probability AND/OR Rules- To be able To use the and/OR rules  Frequency Polygons- To be able To draw a frequency polygon
Stem and Leaf Diagrams

- To be able to draw a stem and leaf diagram

- To be able to find the mode, range and median from a stem and leaf diagram Stratified Sampling

- To be able to apply a stratified sample to a set of data
- To be able to solve problems with proportional reasoning to estimate population size (capture/recapture method)  Calculating Probabilities- To be able to calculate the probabity an event will occur
- To be able to calculate the relative frequency of an event
- To be able to estimate how many times an event will occur when given the probability and number of trials  Sample Spaces & Probabilities- To be able to list combinations of events
- To be able to complete sample spaces
- To be able to calculate probabilities from sample spaces Probability Trees- To be able to draw probability trees
- To be able to use probability trees to find the probability of successive events occuring   Frequency Trees

- To be able to complete frequency trees from given information
- To be to able to calculate fractions and probability from frequency trees    Questionnaires- To be able To design a suitable questionnaire 