Media > TDT > Statistics

Statistics

S_A_AP1_S2_fig1

Graph depicting how children travel to school. Bus: 6 girls, 3 boys. Car: 4 girls, 1 boy. Walk: 3 girls, 4 boys. Train: 0. Bike: 1 girl, 5 boys.

S_A_AP1_S4_fig1

Graph 1. Stacked plot with horizontal scale increasing in equal increments of 5 years. Plot shows a positive skew. Graph 2. Stacked plot with horizontal scale marked in unequal increments. Plot shows a bimodal distribution.

S_A_AP1_S4_fig2

Stacked plot with horizontal scale marked in unequal increments. Plot shows a bimodal distribution.

Graph 2.

S_A_AP1_S5_fig1

Two plots, one labelled 'Green' with values of 3, 4, 4, 5, 5, 5, 6, 6 and 6. The other plot is labelled 'Purple' with values of 3, 3, 4, 4, 4, 4, 5, 5 and 6.

Plots of mathematics scores for 9 students in two different classes.

S_A_AP1_S6_fig1

Pie graph showing Heart disease at 31.55%, Cancer at 25.84%, Stroke at 9.91% and Respiratory disease at 5.21%. Graph is encircled by a wreath.

The major causes of death in Australia in 1990–1992.
Source: Fairfax Syndication.

S_BI_fig1

A pentagon with all diagonals drawn. Centre of the pentagon labelled ‘Classroom statistics’. Five points of pentagon labelled 'Informal inference', 'Randomness', 'Expectation', 'Variation' and 'Distribution'.

Interrelated big ideas underlying statistics.

S_BI_I1_E1_fig1

Dot plot shows minimum 145 cm, maximum 187 cm with an approximately normal distribution, peak at 165 cm.

Arm spans of 60 Australian students.

S_BI_I2_E1_fig1

Two box plots: one for walk times; one for bus times. Walking box plot: strong positive skew, minimum 2 minutes, median 8 minutes, maximum 60 minutes, outliers. Bus box plot: positive skew, minimum 7 minutes, median 29 minutes, maximum 75 minutes.

Time to travel to school.

S_BI_I3_E1_fig1

Two dot plots side by side. The first plot shows frequencies of 9, 6, 3, 7, 2 and 3 for each of the 6 outcomes; the second plot shows frequencies of 5 for each.

Empirical and theoretical results for die tosses.

S_CM_M1_TA2_fig1

Stacked box plot showing approximately normal distribution of both the population and the sample.

Distribution of the population compared to a sample.

S_CM_M2_E1_fig1

S_CM_M2_E1_fig1

S_CM_M2_E1_fig2

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Five bars of roughly correct relative height showing amounts $223, $59, $193, $44, $161. The $193 bar is twice as wide as others.

Bar graph of average weekly Australian spending.

S_CM_M3_E2_fig1

Box plot extending from 12 to 18 with outlier at 27.

Box plot with outlier.

S_CM_M3_E2_fig2

Dot plot with 29 values less than 1500 and one value at 6500.

Graph of salt content of 30 food products.

S_CM_M3_TA2_fig1

Box plot, outlier shown on the left with a circle, no connecting whisker.

Produced with outlier function 'on'.

S_CM_M3_TA2_fig2

Box plot, extreme value included on left, with connecting whisker.

Produced with outlier function 'off'.

S_CM_M4_A1_fig1

Dot plot with all data between 80 cm and 100 cm, with a peak at about 88 cm.

Heights of 136 children when aged 2 years.

S_CM_M4_A1_fig2

Dot plot with all data between about 120 cm and 152 cm, with a peak at about 135 cm.

Heights of the same 136 children when aged 9 years.

S_CM_M4_A1_fig3

Dot plot with all data between about 153 cm and 196 cm, with a peak at about 172 cm.

Heights of the same 136 people when aged 18 years.

S_CM_M4_A1_fig4

Two dot plots, both plots with all data between 80 cm and 100 cm, peaks at about 88 cm.

Heights of 136 children when aged 2 years, split by gender.

S_CM_M4_A1_fig5

Two dot plots, both plots with all data between about 120 cm and 152 cm, peaks at about 135 cm.

Heights of 136 children when aged 9 years, split by gender.

S_CM_M4_A1_fig6

Two dot plots, female plot with data between about 152 cm and 184 cm and peak at about 167 cm, male plot with data between about 160 cm and 196 cm and peak at about 179 cm.

Heights of the same 136 people when aged 18 years, split by gender.

S_CM_M4_A2_fig1

Three plots with clusters of values rising from left to right showing moderate spread, less spread and greater spread.

The scatter plots.

S_CM_M4_A3_fig1

Three box plots showing heights drawn to the same scale. Two year olds plot has whisker range from about 80 to 95 cm. Nine year olds plot has whisker range from about 122 to 152 cm. Eighteen year olds plot has whisker range from about 154 to 196 cm.

S_CM_M4_A3_fig2

Two box plots. Female plot has whisker range from about 81 to 97 cm. Male plot has whisker range from about 81 to 98 cm.

Heights of two year olds by gender.

S_CM_M4_A3_fig3

Two box plots. Female plot has whisker range from about 122 to 153 cm. Male plot has whisker range from about 122 to 147 cm.

Heights of nine year olds by gender.

S_CM_M4_A3_fig4

Two box plots. Female plot has whisker range from about 154 to 183 cm. Male plot has whisker range from about 161 to 195 cm.

Heights of eighteen year olds by gender.

S_CM_M4_E1_fig1

Two dot plots, all data for September bunched near 0 mm, data for January spread fairly evenly from about 130 mm to 940 mm.

Monthly rainfall in September and January for Darwin.

S_CM_M4_E1_fig2

Two dot plots, all values for September spread fairly evenly from 10 mm to 170 mm, most data for January bunched at less than 30 mm with 4 values between about 46 mm and 102 mm.

Monthly rainfall in September and January for Perth.

S_CM_M4_E1_fig3

Two dot plots, values for September spread from about 12 mm to 114 mm but more values less than about 77 mm, values for January positively skewed from 0 mm to about 62 mm.

Monthly rainfall in September and January for Adelaide.

S_CM_M4_E1_fig4

Two dot plots with very similar shapes, ranging from near 0 mm to about 150 mm for September, and from near 0 mm about 218 mm for January, the central part of each plot between about 30 mm and 75 mm.

Monthly rainfall in September and January for Canberra.

S_CM_M4_E2_fig1

Scatterplot with weight on the horizontal axis and leg length on the vertical axis, values rise from lower left to upper right and are quite close together.

Association of weight and leg length for a group of136 nine-year-olds.

S_CM_M4_E2_fig2

Scatterplot with height on the horizontal axis and leg length on the vertical axis, values rise from lower left to upper right, moderately spread.

Association of height and leg length for a second group of 136 nine-year-olds.

S_CM_M4_E2_fig3

Scatterplot with height on the horizontal axis and leg length on the vertical axis, values appear to rise from lower left to upper right but there is a high degree of spread.

Association of height and leg length for 136 eighteen-year-olds.

S_CM_M4_E3_fig1

Box plots showing rainfall for Australian capital cities, ordered top down from largest to smallest medians. Order is Sydney, Brisbane, Darwin, Perth, Canberra, Melbourne, Hobart and Adelaide.

Monthly rainfall for 56 years.

S_CM_M4_E3_fig2

Box plots showing temperatures for Australian capital cities over 56 years, ordered top down from largest to smallest medians. Order is Darwin, Brisbane, Perth, Sydney, Adelaide, Melbourne, Canberra and Hobart.

Average monthly maximum temperature for 56 years.

S_CM_M4_E3_fig3

Box plots showing rainfall for Australian capital cities, ordered top down from largest to smallest medians. Order is Darwin, Brisbane, Sydney, Canberra, Melbourne, Hobart, Adelaide and Perth.

January rainfall for 56 years.

S_CM_M4_E3_fig4

Box plots showing rainfall for Australian capital cities, ordered top down from largest to smallest medians. Order is Perth, Sydney, Adelaide, Melbourne, Hobart, Canberra, Brisbane and Darwin.

July rainfall for 56 years.

S_CM_M4_E3_fig5

The second plot transformed vertically and ordered from smallest to largest medians beginning at the left.

Average monthly maximum temperature for 56 years.

S_CM_M4_TA2_fig1

Seven scatter plots show the range of associations from a correlation of +1 through 0 to –1.

Strength of associations.

S_CM_M4_TA3_fig1

Box plot of arm span showing rectangle in centre with horizontal lines at either end. The rectangle (or box) covers the lower quartile, median and upper quartile. The lines (or whiskers) stretch to the maximum and minimum.

Illustration of the components of a box (and whisker) plot.

S_CM_M4_TA3_fig2

Sixty stacked data values under a box plot showing the data distribution.

A box plot and the data it represents.

S_CM_M4_TA3_fig3

Same plot represented above with each quarter of the data highlighted.

Box plot highlighting each quarter of the data set.

S_CM_M5_E2_fig1

Pictogram shows SA spends the least on goods and services at $1044 and ACT the most at $1539.

Total weekly household spending on goods and services.
Source: moneysmart.gov.au

S_GT_T1_E2_A1_fig1

First dot plot of 10 tosses with variation from 10% to 90%, middle plot of 100 tosses with variation from 39% to 56%, bottom plot of 1000 tosses with variation from 48% to 53%.

Results for 20 repeats of 10, 100 and 1000 coin tosses.

S_GT_T1_E2_A3_fig1

Nine packets of jubes with maximum number of jubes of one colour in each packet identified. Column graph of the information showing five as the most commonly occurring.

Screen grab from L3655 Random or not: analyse numbers of jubes (1:1:1).
Source: © Education Services Australia Ltd, 2011

S_GT_T1_E3_A1_fig1

Screen grab showing the number of rolls completed and a graph to record the results.

Screen grab from L2641 Dice duels.
Source: © Education Services Australia Ltd, 2011

S_GT_T2_E1_A1_fig1

Select data from these choices: gender, home internet, right- or left-handed, year level, reaction time, concentration score, homework hours and travel time.

Screen grab from L5903 Graph investigator: hand preference.
Source: © Education Services Australia Ltd, 2011

S_GT_T2_E1_A1_fig2

Data table with yes or no answers recorded. Pie graph showing 82% answered "yes" and 18% answered "no".

Screen grab from L5903 Graph investigator: home internet access.
Source: © Education Services Australia Ltd, 2011

S_GT_T2_E2_A1_fig1

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S_GT_T2_E2_A1_fig2

Pie graph showing Woolworths 28.5%, Coles 21.1%, David’s 13.3%, IHL 4.4% and other 61.2%. The 'other' category appears to be less than half of the circle.

Grocery market shares.
Source: Fairfax Syndication.

S_GT_T2_E2_fig1

Strip divided into 20 equally sized parts then shaded into one section of 5, the next of 10 and the last of 5.

Frequencies for categories.
Source: © Jane Watson.

S_GT_T2_E2_fig2

Pie graph displaying proportions of one-quarter, one-half and one-quarter.

Pie graph created from the frequencies.
Source: © Jane Watson.

S_GT_T3_E1_A1_fig1

Person holding a piece of material from outstretched hand to nose with head averted. Length of material marked as 1 metre.

Using an armspan to measure.

S_GT_T3_E2_fig1

Box plot labelled with the words ‘minimum’, ‘first quartile’, ‘median’, ‘third quartile’ and ‘maximum’. Another plot below with five-number summary of 5, 7, 17, 32 and 55.

Structure of a box plot.

S_GT_T3_E4_fig1

24 values plotted from 166 to 194 centimetres, roughly equally spread about 178. The mean is shown as equal to the median.

Dot plot of Australian Prime Ministers' heights.

S_GT_T3_E4_fig2

Dot plot of 63 cricket scores from 0 to 219, with many bunched near 0 and only 4 greater than 120. Positively skewed distribution with mode less than median and the median less than the mean.

Mark Taylor's first innings scores.

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Red symbol like an upside down T

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blue triangle outline

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green asterisk

S_GT_T5_E1_fig1

Positive correlation between income per person and life expectancy. African nations at the lower end, Asia in the centre, the Americas and Europe at the higher end.

Graph from Gapminder showing correlation of wealth and lifespan for 200 countries in 2011.
Source: Gapminder, Free material available from www.gapminder.org

S_GT_T5_E2_A1_fig1

Image of equipment needed, papers for random sampling and some instructions.

Screen grab of Maths by email: How much is lots?
Source: © CSIRO. Licensed under a Creative-Commons Attribution Licence 3.0 (CC BY 3.0).

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Sample score sheet, image of thumb wrestling and some instructions.

Screen grab from Maths by email: thumb wrestling.
Source: © CSIRO. Licensed under a Creative-Commons Attribution Licence 3.0 (CC BY 3.0).

S_GT_T5_E3_fig1

Overview of site showing the following topics: Number, Data Collection and Sampling, Data Representation, Chance and Basic Probability, Data Reduction and Inference.

Screen grab from Numeracy in the News.

S_GT_T6_E1_A1_fig1

Lists the 3 possible topics: Which people use the Internet? What is the internet used for? And Where do people connect to the Internet?

Screen grab from Home Internet survey: topics

S_GT_T6_E1_A1_fig2

Comparative column graph showing that no matter the age the use of a home computer is consistent, but that the older the child the more the Internet is used at home.

Screen grab from Home Internet survey: who?


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