Data Analysis

Data analysis | NSW Curriculum Website

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 the mean ( $\overset{x}{ˉ}$ ) 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

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

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