Data band descriptors

The following are amended descriptors for NAPLAN band Data
a) Level 8 Band 10
i) estimate and find the median, quartiles and interquartile range for large data sets, including using a cumulative frequency diagram
ii) compare two or more distributions and make inferences, using the shape of the distributions and measures of average and spread including median and quartiles
iii) know when to add or multiply two probabilities
iv) use tree diagrams to calculate probabilities of combinations of independent events
b) Level 7 Band 9
i) suggest a problem to explore using statistical methods, frame questions and raise conjectures; identify possible sources of bias and plan how to minimise it
ii) select, construct and modify, on paper and using ICT suitable graphical representation to progress an enquiry including frequency polygons and lines of best fit on scatter graphs
iii) estimate the mean, median and range of a set of grouped data and determine the modal class, selecting the statistic most appropriate to the line of enquiry
iv) compare two or more distributions and make inferences, using the shape of the distributions and measures of average and range
v) understand relative frequency as an estimate of probability and use this to compare outcomes of an experiment
vi) examine critically the results of a statistical enquiry, and justify the choice of statistical representation in written presentation
vii) Interprets data to determine the relationship between mean, median and mode.
c) Level 6 Band 8
i) designs survey or experiment to capture the necessary data from one or more sources; design, trial and, if necessary, refine data collection sheets; construct tables for large discrete and continuous sets of raw data, choosing suitable class intervals; design and use two-way tables
ii) select, construct and modify, on paper and using ICT:
(1) pie charts for categorical data
(2) bar charts and frequency diagrams for discrete and continuous data
(3) simple time graphs for time series
(4) scatter graphs
iii) and identify which are most useful in the context of the problem
iv) find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way
v) know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems
vi) communicate interpretations and results of a statistical survey using selected tables, graphs and diagrams in support
vii) Interprets stem and leaf plots
viii) Describes probability using decimals
d) Level 5 Band 7
i) ask questions, plan how to answer them and collect the data required
ii) in probability, select methods based on equally likely outcomes and experimental evidence, as appropriate
iii) understand and use the probability scale from 0 to 1
iv) understand and use the mean of discrete data and compare two simple distributions, using the range and one of mode, median or mean
v) understand that different outcomes may result from repeating an experiment
vi) interpret graphs and diagrams, including pie charts, and draw conclusions
vii) create and interpret line graphs where the intermediate values have meaning
viii) Matches data in a table to points on a graph
e) Level 4 Band 6
i) collect and record discrete data
ii) group data, where appropriate, in equal class intervals
iii) continue to use Venn and Carroll diagrams to record their sorting and classifying of information
iv) construct and interpret frequency diagrams and simple line graphs
v) understand and use the mode and range to describe sets of data
vi) Calculates the average using data in a table
f) Level 3 Band 5
i) gather information
ii) construct bar charts and pictograms, where the symbol represents a group of units
iii) use Venn and Carroll diagrams to record their sorting and classifying of information
iv) extract and interpret information presented in simple tables, lists, bar charts and pictograms
g) Level 2
i) sort objects and classify them using more than one criterion
ii) understand vocabulary relating to handling data
iii) collect and sort data to test a simple hypothesis
iv) record results in simple lists, tables, pictograms and block graphs
v) communicate their findings, using the simple lists, tables, pictograms and block graphs they have recorded