Discuss and discover


Working with a classmate, perform a statistical investigation that you can carry out in your school.


(i) Design a questionnaire that has fi ve questions, ensuring that at least two of your questions gather numerical data.


(ii) Decide who you are gathering data from. (iii) Collect and represent your data. (iv) Comment on your fi ndings, linking back to your original question.


Practice questions 18.5 1.


(a) Design a questionnaire for collecting data to answer each question below. Give at least four possible answers for your question each time.


(i) What is the favourite food of Second-Year students?


(ii) What is the favourite music of students in your class?


(iii) What is the most popular brand of mobile phone in your school?


(iv) How much sleep do Irish teenagers get a night?


(b) For each of the questions in (a) above, answer the following.


(i) Who should you ask? (ii) How could you pick a sample? (iii) How many people will you ask? (iv) What type of data will you collect?


2. The bar chart on the right shows the results of a questionnaire.


(i) Complete the tally sheet that may have been used.


Computers in the home


20 16


12 8 4 0


(ii) Can you tell how many students were given the questionnaire? Explain.


Location


(iii) Write two things you know from this questionnaire.


(iv) Could the results of this survey be generalised to the whole population? Justify your answer.


Amira concluded that most students will become astronauts or designers when they leave school.


Is Amira’s conclusion valid? Explain.


4. You want to fi nd out if the students in your class are happy with the school uniform.


(i) Design a questionnaire that could be used to answer this question.


(ii) Decide who you will ask, how many will be asked and how you will pick them. Justify your reasoning.


(iii) Collect your data and decide how best to represent it.


(iv) Prepare a report on your fi ndings that you could present to the student council on behalf of your class.


Section B Moving forward 299


(i) Is this a good question, in your opinion? Justify your answer.


(ii) How would you ask this question?


(b) Amira gave this question to the 66 students in Second-Year. Thirty-fi ve people answered the question. Here are the results.


3. (a)


Amira wanted to fi nd out what the Second-Year students in her school wanted to be when they leave school. She wrote this question.


18 Collecting and representing data


No. of students


Kitchen Bedroom


Family room No computer


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