### Lets Go Fishing. Data Assessment Rubric

Lets Go Fishing

We are planning a fishing weekend, but are unsure where to go.

The following is a list of how many fish were caught at five different locations during our last visits.

Apollo Bay:                10, 11, 12, 11, 10, 11, 12.

Lakes Entrance:        21, 0, 20, 0, 19.

Western Port Bay:     6, 10, 14, 18.

Eden:                        18

Port Phillip Bay           1, 1, 41, 1, 0, 1, 1, 1, 2, 1.

Which location would you select based on this data and why? (Show all working out).

Display each locations results in different graphical forms.

Year 7

Construct and compare a range of displays including stem-and-leaf plots and dot plots (ACMSP170)

Calculate meanmedianmode and range for sets of data. Interpret these statistics in the context of data (ACMSP171)

Describe and interpret data displays usingmedianmean and range (ACMSP172)

·         Explain why some data representations are more appropriate than others for particular data sets. (U)

·         Construct and compare data displays including ordered stem and leaf plots, and dot plots. (F)

·         Calculate the mean, median, mode and range for sets of data. (F)

·         Explain and interpret data, including referring to the mean, median, mode and range of the data. (R)

·         Compare data sets from real life, including using the location of the mean and median on graphs. (R)

·         Describe how outliers may affect the comparison of data sets when the mean, median and range are used. (U)

Year 8

Investigate the effect of individual data values, including outliers, on the mean and median.(ACMSP207)

·         Use sample properties (for example mean, median, range) to predict characteristics of the population acknowledging uncertainty. (U)

·         Use displays of data to explore and investigate effects. (R)

Year 9

Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’(ACMSP282)

Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread(ACMSP283)

·         display comparative data, such as back-to-back stem-and-leaf plots and histograms. (F)

·         explain comparative data, such as back-to-back stem-and-leaf plots and histograms. (R)

·         describe data , using spread, mean, medium, outliers, skewed, symmetric . (U)

·         explain the data and draw conclusions. (R)

·         evaluate media reports and use statistical knowledge to draw conclusions (U)

Year 10

Determine quartiles and interquartile range (ACMSP248)

Construct and interpret box plots and use them to compare data sets (ACMSP249)

·         determine the minimum and maximum values in a set of data (F)

·         determine the range in a set of data (F)

·         determine the median in a set of data (F)

·         determine the upper and lower quartiles in a set of data (F)

·         determine the interquartile range in a set of data (F)

·         compare data sets numerically (U) (R)

·         represent data by constructing a box plot (F)

·         compare data sets visually using box plots (U) (R) e.g. the distribution of Aboriginal and Torres Strait Islander people by age with that of the Australian population as a whole

·         understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets

Year 10A

Calculate and interpret the mean and standard deviation of data and use these to compare data sets (ACMSP278)

·         Calculate the mean for a data set (F)

·         Calculate the standard deviation for a data set (F)

·         Compare data sets using their standard deviations and mean values (R) (U)

·         Discuss data sets by interpreting their mean and standard deviations (R) (U)

 3.00 3.25 3.75 4.00 4.25 4.50 4.75 5.00 5.50 6.0 They use a column or bar graph to display the results of an experiment. Identification of mode and range for a set of data. Identification of the median for a set of data They calculate and interpret mean, median, and mode and range. Recognition of the mean value of a set of measurements as the best estimate, and that the range could represent the associated error. Contrast between the stability of long run relative frequency and the variation of observations based on small samples. Identification that this is a small sample set especially for player 4 so may be unreliable.Construction of dot plots, and/or stem and leaf plots. Display and interpretation of dot plots, and/or stem and leaf plots, including reference to mean, median and mode as measures of centre. They use linear and other simple mathematical models to explore practical situations. They make and test predictions from these models (including interpolation and extrapolation). Display of data as a box plot including calculation of quartiles and inter-quartile range and the identification of outliers They calculate summary statistics for centrality (mode, median and mean), spread (box plot, inter-quartile range, outliers) and association (by-eye estimation of the line of best fit from a scatter plot).