#StatisticsAndProbability #Core >[!info]- [Data analysis | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/faf3cc6dd1) >- MA4-DAT-C-02 analyses simple datasets using measures of centre, range and shape of the data ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ----------------------------------------- | ---------------------------- | ------------------------------------ | | [[Data B]] | - range and mode from graphs | - range and mode from a list of data | | [[Data Classification and Visualisation]] | - interpreting data displays | - summary statistics from graphs | | [[Equations]] | - using formulas | - mean formula | ## [[Calculate and compare the mean, median, mode and range for simple datasets.pdf]] - Calculate the mean ($\bar{x}$) of a set of data using digital tools - Calculate and describe the mean, median, mode and range of a dataset - Classify the mean, median and/or mode as measure(s) of centre to represent the average or typical value of a dataset - Describe and interpret data displays using mean, median and range - Identify and describe datasets as having no modes (uniform), one mode (unimodal), 2 modes (bimodal) or multiple modes (multimodal) - Identify the range as a measure of spread to describe variation in a dataset - Compare simple datasets using the mean, median, mode and range ## [[Interpret the effect individual data points have on measures of centre and range.pdf]] - Informally identify clusters, gaps and outliers in datasets and give reasons for their occurrence in the context of the data - Identify and explain the impact of adding or removing data values that are clustered at one end of a dataset on the measures of centre - Identify and explain the impact of outliers on the measures of centre and range - Determine and justify the most appropriate measure of centre to summarise the data in its context ## [[Analyse datasets presented in various ways and draw conclusions.pdf]] - Identify and describe the shape and distribution of a dataset using the terms _symmetrical_, _negatively skewed_ and _positively skewed_ - Define a census as a study of every unit, everyone or everything in a population - Define a sample as a subset of units in a population selected to represent all units in a population of interest - Draw conclusions and make informed decisions about data gathered using data-collection techniques, including census and sampling, which is then presented in tables, graphs and charts