About this topic
Before you begin
Organise data in tables, histograms and dot diagrams, interpret averages and cumulative frequency, and calculate single-event probabilities.
Learning goals
- Organise data and construct a suitable display
- Read and interpret data displays
- Evaluate the purposes and limitations of data displays
- Read and interpret quantities in a bar graph
- Read observations and changes on a line graph
- Interpret sector shares relative to a pie chart's whole
- Calculate and interpret the arithmetic mean
- Find and interpret the mode and median
- Find the median of ungrouped observations
- Find every mode of ungrouped observations
- Calculate the range of ungrouped observations
- Find quartiles and interquartile range under a stated finite-data convention
- Estimate quartiles, a percentile and interquartile range by linear interpolation
- Compare variability using appropriate measures
- Count all and qualifying uniform outcomes and calculate the event probability
- Calculate event probabilities from an explicit sample space
Syllabus statements covered
- Simple concepts in collecting, classifying and tabulating data
- Analysis and interpretation of: ∗ tables ∗ bar graphs ∗ pictograms ∗ line graphs ∗ pie charts ∗ dot diagrams ∗ histograms with equal class intervals ∗ cumulative frequency diagrams
- Purposes and use, advantages and disadvantages of the different forms of statistical representations
- Purposes and use of mean, mode and median
- Calculation of the mean, mode and median for a set of ungrouped data
- Percentiles, quartiles, range and interquartile range
- Probability as a measure of chance
- Probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)
- Simple concepts in collecting, classifying and tabulating data
- Analysis and interpretation of:
- Tables
- Bar graphs
- Pictograms
- Line graphs
- Pie charts
- Purposes and uses, advantages and disadvantages of the different forms of statistical representations
- Analysis and interpretation of:
- Dot diagrams
- Histograms with equal class intervals
- Purposes and uses, advantages and disadvantages of the different forms of statistical representations
- Purposes and uses of mean, mode and median
- Calculation of the mean, mode and median for a set of ungrouped data
- Probability as a measure of chance
- Probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)
- Percentiles, quartiles, range and interquartile range
- Analysis and interpretation of cumulative frequency diagrams
Choose a lesson
Work through them in order.
- Not startedCollect data and make a tableNextOrganise observations into a frequency table, choose a suitable display and check what the data can support.
- Not startedHistograms and dot diagramsNextUse numerical intervals for a histogram and one mark per observation for a dot diagram.
- Not startedMean, median and modeNextChoose a measure for the question and sort the values before finding positional summaries.
- Not startedRecover the data before finding a summaryNextRecover individual frequencies from running totals or a removed group, then find a mean, median, mode or range.
- Not startedQuartiles, percentiles and cumulative frequencyNextRead cumulative counts at class boundaries and treat grouped-data interpolation as an estimate.
- Not startedSingle-event probabilityNextList the sample space and justify equal likelihood before counting favourable outcomes.
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