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Listed under:  Sampling (Statistics)

### Dice duels: load one dice [ESL]

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is twice as likely to come up than any other face (probability 2/7). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical ...

### Dice duels: load a pair of dice [ESL]

Make biased dice. Weight (load) dice to favour one of the six numbers. For example, load the number five on both dice so that it is three times more likely to come up than any other face. Test ideas about bias by rolling the loaded dice. Examine the sum of the two numbers rolled. Look at demonstrations of the mathematical ...

### Dice duels: find the bias [ESL]

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with experimental ...

### Dice duels: fair or unfair?

Test dice to see if they have been weighted (loaded) to favour one of the six numbers. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Compare the shape of theoretical data distributions with experimental results. This learning object is one in a series of 11 objects.

### Dice duels

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Make biased dice. Test ideas about bias by rolling a loaded dice on its own or with a fair dice. For the dice pair, look ...

### Dice duels: load one dice

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is three times more likely to come up than any other face (probability 4/9). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape ...

### Dice duels: load a pair of dice

Make biased dice. Weight (load) dice to favour one of the six numbers. For example, load the number five on both dice so that it is three times more likely to come up than any other face. Test ideas about bias by rolling the loaded dice. Examine the sum of the two numbers rolled. Look at demonstrations of the mathematical ...

### Dice duels: find the bias

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with ...

### Sampling from a population

This is a website designed for both teachers and students that refers to sampling from a population and taking a census from the Australian Curriculum for year 8 students. It contains material on cross-sections of sampling and how the means and proportions of samples vary. There are pages for both teachers and students. ...

### Impact of coming to school on carbon emissions

How big is your carbon footprint as you travel to and from school? Watch Daniel O'Doherty, 2008 'Action Against Climate Change' Eureka Schools Prize winner, as he determines his hypothesis then designs and conducts a study about carbon emissions. Listen to the recommendations he makes to reduce and offset the emissions ...

### Same birthday: what's the chance?

Mathematician Adam Spencer answers a question about something called the 'birthday paradox'. Find out what this has to do with birthdays and the number of people in a room.

### Leisure survey: team sport [ESL]

Explore how many kids play sport and whether they play in teams. Choose questions to ask in a survey. For example, look at the percentages of kids at different ages who play a team sport. Examine a table of results. Sort the data and use it to answer questions. Display the results choosing a suitable type of graph such ...

### Leisure survey: popular sports [ESL]

Explore which sports children like to play. Choose questions to ask in a survey. For example, look at whether children play basketball, tennis or netball. Examine a table of results. Sort the data and use it to answer questions. Display the results choosing a suitable type of graph such as a pie chart, bar graph or histogram. ...

### Leisure survey: artistic activities [ESL]

Explore kids' favourite artistic activities. Choose which question to ask in a survey. For example, look at whether kids prefer dancing, acting or playing an instrument. Examine a table of results. Sort the data and use it to answer questions. Display the results choosing a suitable type of graph such as a pie chart, bar ...

### The slushy sludger: questions

Use a vending machine to squirt coloured 'slushies' into ice-cream cones. Work out which 'sludge events' are possible and then choose a matching probability word.

### The slushy sludger: best guess

Use a vending machine to squirt 'slushies' into ice-cream cones. The machine serves coloured slush randomly from four slots. Work out which colour is the most common (most likely to be served). Notice that the least common colours are sometimes served. Make several guesses, then check your results from the random sample. ...

### The vile vendor: best guess

Use a vending machine to get a vile-flavoured drink such as cabbage, smelly sock or rusty nail. The machine serves a can of drink randomly from four slots. Guess which drink flavour is most likely to be served. Make several guesses and then check your results from the random sample. Work out the likelihood of an event in ...

### The foul food maker: questions 1

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

### The foul food maker: questions 2

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

### The foul food maker: best guess

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Guess which type of meal is most likely to be served. Make several guesses, then check your results from the random sample. This ...