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Statistics - Maths of Real Life (try)



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These resources investigate statistics concepts usually met by students aged 14-16

Statistical shorts
problem
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Statistical Shorts

Age
11 to 16
Challenge level
1 out of 3

Can you decide whether these short statistical statements are always, sometimes or never true?

A population survey
problem

A Population Survey

Age
14 to 18
Challenge level
1 out of 3

A geographical survey: answer the tiny questionnaire and then analyse all the collected responses...

Which spinners?
problem
Favourite

Which Spinners?

Age
14 to 18
Challenge level
1 out of 3

Can you work out which spinners were used to generate the frequency charts?

Thousands of people
problem

Thousands of People

Age
14 to 16
Challenge level
1 out of 3
How many thousand people does each dot represent?
Counting Fish
problem

Counting Fish

Age
14 to 16
Challenge level
1 out of 3

I need a figure for the fish population in a lake. How does it help to catch and mark 40 fish?

Data matching
problem

Data Matching

Age
14 to 18
Challenge level
1 out of 3

Use your skill and judgement to match the sets of random data.

Where are you flying?
problem

Where Are You Flying?

Age
14 to 18
Challenge level
1 out of 3

Where do people fly to from London? What is good and bad about these representations?

Sleep: the silent killer
problem

Sleep: The Silent Killer

Age
16 to 18
Challenge level
1 out of 3
"Too much sleep is deadly" proclaimed the newspaper headline. Is this true?


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These resources explore statistics concepts usually met by students aged 16-18

Stats statements
problem
Favourite

Stats Statements

Age
16 to 18
Challenge level
1 out of 3

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Hypothetical shorts
problem

Hypothetical Shorts

Age
16 to 18
Challenge level
2 out of 3
Some short statements about hypothesis testing: are they true, false, or somewhere in between?
Robin's hypothesis testing
problem

Robin's Hypothesis Testing

Age
16 to 18
Challenge level
2 out of 3
How many trials should we do in order to accept or reject our null hypothesis?
Powerful hypothesis testing
problem

Powerful Hypothesis Testing

Age
16 to 18
Challenge level
2 out of 3
How effective are hypothesis tests at showing that our null hypothesis is wrong?
Binomial or not?
problem

Binomial or Not?

Age
16 to 18
Challenge level
1 out of 3
Are these scenarios described by the binomial distribution?
Binomial conditions
problem

Binomial Conditions

Age
16 to 18
Challenge level
2 out of 3

When is an experiment described by the binomial distribution? Why do we need both the condition about independence and the one about constant probability?

A well-stirred sample
problem

A Well-Stirred Sample

Age
16 to 18
Challenge level
2 out of 3
Typical survey sample sizes are about 1000 people. Why is this?