Mathematics level 4 Statistics:
Collect and display time series data.
Report the distinctive features of data displays.
The learning outcomes are:
- Define 'vital statistics'.
- Display information in a line graph and explain the reason for using this graph.
- Discuss one way a graph can be misleading.
- Interpret a population graph.
- Vital Statistics are statistics on births, deaths, marriages and divorces.
Currently (March 2010), the estimated population demographics for New Zealand are:
Women = 50.9% Men = 49.1%
- From the 2006 Census, the ethnic populations were:
European = 77% Maori = 15% Asian = 7% Pacific Peoples = 10% Middle Eastern/Latin American/African = 1%(The total isn't 100 percent because some identify with more than one group).
- A line graph is best because it shows change over time. Whether you are graphing seconds, minutes, hours, days or years, a line graph will best show the changes.
- Some key things to watch with line graphs:
- Females live longer than males!
- Graph should look the same but with much longer bars.
- The break in the graph exaggerates the differences in life expectancy. The students’ graphs should give a more realistic portrayal.
- 2 %.
- 35–39 (or 30–44).
- There is a dip in the age groups 20–24 and 25–29. There could be a number of reasons for these dips.
There may have been fewer people born in the 1970s due perhaps to a greater percentage women being in the paid work force or many Kiwis in their 20s going overseas.
Extension: Have students visit www.stats.govt.nz and click on Population clock this shows the estimated population of New Zealand today. If you watch long enough you will see it tick over.