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Year 9

Term 3 Key Homework

Statistical Enquiry Project

The aim of this key homework is for students to ask questions which can be

answered by using statistical enquiry methods.

For this keyhomework you will produce a final statistical survey report

covering the all aspects of the statistical enquiry cycle:

It will also include these key elements:

- method- analysis- conclusion

Method:

A.Specifying the problem

In class, you will discuss with your teacher the exact topic of your project.

In your final statistical report you will need to

explain what question you asked (or hypothesis you tested) why you asked or decided to test it; what your initial expectation (or conjecture) was.

B.Collecting dataDuring lessons, you will be allowed a certain time to collect your data.

In your final statistical report you will need to

explain what data you collected and why how you collected or sourced it how you made sure it was accurate and fair

Analysing and Representing the data:

C.Analyse data

Specify the

problem

Collect

data

Analyse

data

Interpret

findings

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You will need to calculate appropriate averages and measures of spread for

your data. You will also need to present your data in appropriate charts and

graphs.

In your final statistical report you will need to

show your calculations for all measures of average and spread; ensure that graphs and charts are correctly plotted and labelled explain why the graphs you have chosen are most appropriate for

representing the data;

Conclusion

D.Interpret findingsYou will need to explain what your analysis has shown about the data and what

conclusions you can draw from it. You will need to explain what features of

your charts and graphs support your conclusions. You will need to put all your

comments into context by relating them back to the original problem you set

out to answer.

In your final statistical report you will need to

Describe or explain your data using an appropriate measure ofaverage and spread (or correlation) to interpret or compare

distributions.

Draw a conclusion based on your findings which answers youroriginal question or hypothesis

E.Statistical Enquiry Cycle (Level 7+)You will understand that the statistical enquiry cycle is continuous. You willuse your findings and experience from this cycle to identify additional

questions to be investigated.

In your final statistical report you will need to

Critically evaluate your enquiry process identifying areas ofinaccuracy and proposing more accurate alternatives;

Form secondary questions or hypothesis which will theninvestigated repeating the statistical enquiry cycle. (Level 8)

Students will be supported in achieving a level appropriate to their target

grade through class work.

Attached for guidance purposes is

- writing frame (level 3/4)- levelled criteria

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Level 3 /4 Framework

Hypothesis: Make a statement about what you expect your results to be and why

Example:

More students are born in ____________ .I think this because.

The favourite subject of students in Year 9 of Trafalgar School is

_________ because.

Method: Explain what data you need to collect and what you are going to do to

understand and analyse it.

Example

I am going to collect data from

I am going to record my results in a table because

I am going to illustrate my results in a ___________ to show the number ofstudents who..

I am going to find the modal class to help explain if my hypothesis is correct.

Results: Collect and display data in suitable frequency tables

Construct a bar graph to represent the data

Example:

Favourite subject Tally Frequency (total)

Conclusion: State theresults of your analysisExplain whether the data supports your hypothesis or not

Example:

From my bar chart I see that the modal class is.

My hypothesis is true/false because.

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Level Criteria Peer

assessment

Teacher

assessmentLevel 3/4 I have collected and recorded discrete data

Where appropriate I have grouped data in equal class intervals I have constructed a frequency table to summarise my data I have constructed a bar chart to represent the data I have calculated the mode and range I have interpreted and explained the data using features of the

graph, the mode and the rangeLevel 5 I have asked a question which can be answered through

collection, analysis and comparison of two sets of discrete data

I have collected the appropriate data Where appropriate I have grouped data in equal class intervals I have constructed a frequency table to summarise my data I have calculated the mode, median and mean averages and the

range of data of two sets of data

I have compared two simple distributions using the range and anaverage

I have interpreted my graphs and used my calculations to draw aconclusion that answers my initial question.

Level 6 I have asked a question which can be answered throughcollection, analysis and comparison of two sets of continuous

data I designed a survey to capture the necessary data and if necessary

trialled and refined data collection sheets

I have constructed a frequency table for large continuous sets ofraw data choosing suitable class intervals

I have calculated the mode, median and mean averages and therange of data of two sets of data

I have compared two simple distributions using the range and anaverage

I have identified two variables which may be correlated andconstructed a scatter graphs

I have communicated my interpretations and results of astatistical survey using selected tables, graphs and diagrams in

support.

Level 7 I have suggested a problem to explore using statistical methods I have framed questions and raised conjectures I have identified possible sources of bias and planned how to

minimise it.

I have constructed a frequency table for large continuous sets ofraw data choosing suitable class intervals

I have estimated the mean, median and range of a set of groupeddata and determined the modal class selecting the statistic most

appropriate to the line of enquiry

I have selected and constructed suitable graphical representationsto progress an enquiry including frequency polygons and lines of

best fit on scatter graphs

I have compared two or more distributions and made inferences,using the shape of the distribution and measures of average and

range I have examined critically the results of a statistical enquiry and

justified the choice of statistical representation in written

presentations

Level 8 As Level 7 I have estimated the median, inter-quartile range for large data

sets, including using a cumulative frequency diagram and box

plots

I have compared two or more distributions and make inferences,using the shape of the distribution and measures of average and

spread including median and quartiles

I have interpreted scatter diagrams using the language ofcorrelation