Handling Data 10
Handling Data 10 (continued)
All should be able to
Find the mode and range of a set of data.
Begin to find the median and the mean of a set of data.
Solve a problem by representing, extracting and interpreting data in tables, graphs and charts.
Most should be able to
ecide which data would be relevant to an enquiry and possible sources.
Plan how to collect and organise small sets of data; design a data collection sheet or questionnaire to use in a simple survey; construct frequency tables for discrete data, grouped where appropriate in equal class intervals. Calculate statistics for small sets of discrete data: find the mode, median and range, and the modal class for grouped data; calculate the mean, including from a simple frequency table, using a calculator for a larger number of items. Construct, on paper and using ICT, graphs and diagrams to represent data, including: -bar-line graphs;
-frequency diagrams for grouped discrete data; use ICT to generate pie charts.
Interpret diagrams and graphs (including pie charts), and draw conclusions based on the shape of graphs and simple statistics for a single distribution.
Compare two simple distributions using the range and one of the mode, median or mean.
Some should be able to
Recognise when it is appropriate to use the range, mean, median and mode and, for grouped data, the modal class; calculate a mean using an assumed mean.
Construct on paper and using ICT:
-pie charts for categorical data;
- simple line graphs for time series.
Interpret tables, graphs and diagrams for both discrete and continuous data.
Write a short report of a statistical enquiry and illustrate with appropriate diagrams, graphs and charts, using ICT as appropriate; justify the choice of what is presented.
Understand and use the probability scale from 0 to 1; find and justify probabilities based on equally likely outcomes in simple contexts; identify all the possible mutually exclusive outcomes of a single event.
Collect data from a simple experiment and record in a frequency table; estimate probabilities based on this data.
Compare experimental and theoretical probabilities in simple contexts.
Know that if the probability of an event occurring is p, then the probability of it not occurring is 1 p; find and record all possible mutually exclusive outcomes for two successive events in a systematic way, using diagrams and tables.
Understand that:
-if an experiment is repeated there may be, and usually will be, different outcomes;
-increasing the number of times an experiment is repeated generally leads to better estimates of probability.
