2. Copy the table below and put a tick (✓) in the correct box in each row to show whether each of the following represent categorical or numerical data.


Data recorded (i)


The heights, in centimetres, of a group of children


(ii) The numbers of visitors at a museum each day


(iii) The modes of transport that students in Second Year take to school


(iv) Countries of birth (v) Time to complete 100 m sprint (vi) Species of cat (vii) Grades in a test (viii) Percentages in a test


3. An enrolment form for a school requests the following information: (i) Name


(ii) Date of birth (iii) Gender (iv) Address


(v) Number of siblings in the school (vi) Parents’ phone numbers (vii) Subjects chosen (viii) Primary school attended


For each of the pieces of information requested, decide whether the data collected is categorical or numerical data. Justify your answer in each case.


4. Read each of the questions below and decide whether the information collected is categorical nominal or ordinal; or numerical discrete or continuous. Justify your answers.


(i) What countries have you visited? (ii) How long is your hair? (iii) What’s your favourite sport?


(iv) How many people are in your family? (v) How many languages can you speak? (vi) What type of music do you like?


5. The DAA monitors airlines flying in and out of Dublin airport for safety and customer service. For each flight, the airline company must report (i) the type of aircraft, (ii) the flight number, (iii) the number of passengers and (iv) whether the flight departed and arrived on schedule.


Decide whether each piece of information gathered is categorical nominal or ordinal; or numerical discrete or continuous. Justify your answers.


6. Liz collects stamps from around the world. Decide whether each piece of information about each stamp in her collection is categorical nominal or ordinal; or numerical discrete or continuous. Justify your answers.


(i) Length (ii) Country of origin 7. (iii) Value (iv) Colour


(i) Write three questions that could be used to collect categorical nominal data. (ii) Write three questions that could be used to collect categorical ordinal data. (iii) Write three questions that could be used to collect numerical discrete data. (iv) Write three questions that could be used to collect numerical continuous data.


8. Explain each of the following terms in your own words and give one example of each. (i) Categorical data (ii) Numerical data


(iii) Nominal data (iv) Ordinal data


(v) Discrete data (vi) Continuous data


Section B Moving forward 285


Categorical nominal


Categorical ordinal


Numerical discrete


Numerical continuous


18 Collecting and representing data


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