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Describe and interpret data displays using median, mean and range (VCMSP271)

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LO: To describe and interpret data displays using median, mean and range.

Know:

  • What does the median of a data set represent.

  • What does the mean of a data set represent.

  • What does the range of a data set represent.

Understand:

  • That the description and interpretation of the measures of centrality assists us in determining the bigger picture of a data set.

Do:

  • I can describe and interpret data displays using median, mean and range.

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Elaborations

  • using mean and median to compare data sets and explaining how outliers may affect the comparison

  • locating mean, median and range on graphs and connecting them to real life

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Looking at the data above, I can analyze a variety of factors using median, mean and range.

    • I can tell that the median age in Australia is 37 years old, which means that half of the people in Australia are older than 37 and the other half is younger.

    • I can also see that the median household income is $1,234, which means that half of the families in Australia earn more than that per week, and the other half earn less than that per week.

    • I can also see that the average (mean) Australian family has 1.9 children, which also means that our population is declining if you don’t factor in immigration and migration

    • I can also see that the average (mean) Australian family owns 1.7 cars.

By looking at the measures of centrality and data tables, this helps us to draw reasoned conclusions and generalisations regarding the data that we have found. This also helps you to determine where a data fits compared to the measures of centrality. Eg.) if you are 14 are you older or younger than the average Australian? If you have 5 family cars, do you have more than the typical Australian family or less?

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Teaching Tasks

  • demonstrate, through investigation, an understanding of how data from charts, tables, and graphs can be used to make inferences and convincing arguments. (e.g., describe examples found in newspapers and magazines)

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