← Applications of Mathematics syllabus

ScotlandApplications of Mathematics

Statistics

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you use averages and measures of spread, including the five-figure summary, the semi-interquartile range and standard deviation, to compare two data sets?

Using a combination of statistics to compare data sets, calculating the mean, median, mode and range, the five-figure summary and semi-interquartile range, and the standard deviation, then comparing an average with a measure of spread.
A focused answer to the SQA National 5 Applications of Mathematics statistics content on comparing data, covering the mean, median, mode and range, the five-figure summary and semi-interquartile range, the standard deviation, and comparing two data sets using both an average and a measure of spread.
12 min answer →

How do you calculate the probability of an event, interpret it on the likelihood scale, and use probability and risk to make and justify a decision?

Calculating the probability of an event as a fraction, decimal or percentage, interpreting probability on the scale from 0 to 1, using expected frequency, and using probability and risk to make and justify decisions.
A focused answer to the SQA National 5 Applications of Mathematics statistics content on probability, covering calculating the probability of an event, the likelihood scale from 0 to 1, expected frequency, and using probability and risk to make and justify decisions.
11 min answer →

How do you describe correlation on a scattergraph, draw a line of best fit, find its equation and use it to estimate values?

Drawing a line of best fit from given data on a scattergraph, describing the type of correlation, finding the equation of the line of best fit, and using it to estimate values.
A focused answer to the SQA National 5 Applications of Mathematics statistics content on scattergraphs, covering describing positive, negative or no correlation, drawing a line of best fit from data, finding the equation of the line in the form y = mx + c, and using it to estimate values.
11 min answer →

How do you extract and interpret data from tables and statistical diagrams such as bar charts, pie charts, line graphs and stem-and-leaf diagrams?

Extracting and interpreting data from different graphical forms including tables, bar charts, pie charts, line graphs and stem-and-leaf diagrams, and constructing these diagrams from raw data.
A focused answer to the SQA National 5 Applications of Mathematics statistics content on diagrams, covering extracting and interpreting data from tables, bar charts, pie charts, line graphs and stem-and-leaf diagrams, and constructing these diagrams from raw data.
11 min answer →