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Handling Data · Data · Lesson 2

Designing and Using a Questionnaire

A questionnaire is one of the cheapest and most powerful tools for finding out what people think and do. In this lesson you will design a short, clear class survey form, carry out the survey fairly and record the answers neatly in a table ready for analysis.

NaCCA B7.4.1.1.2 ⏱ about 45 min

By the end you will be able to

  • ✔State the features of a good questionnaire and write clear open and closed questions.
  • ✔Spot and correct unclear, leading or overlapping questions.
  • ✔Plan how to administer a questionnaire fairly and politely.
  • ✔Record responses in a data table and a tally chart.

Key words

Questionnaire
A set of written questions used to collect data from many people.
Respondent
A person who answers the questions in a survey.
Closed question
A question with fixed answers to choose from, such as Yes / No or a list of subjects.
Open question
A question where the respondent writes an answer in their own words or numbers.
Pilot test
A trial run of the questionnaire with a few people to find and fix problems before the real survey.
Curriculum reference

Content standard: B7.4.1.1 Select, justify, and use appropriate methods to collect data (quantitative and qualitative), display and analyse the data (grouped/ungrouped) presented in frequency tables, line graphs, pie graphs, bar graphs or pictographs and use these to solve and/or pose problems.

Indicator: Design and administer a questionnaire for collecting data to answer questions and record the results.

Starter

Why do some learners come to school late?

Madam Esi, the headmistress, wants to know why so many learners arrive late and how much they spend on trotro every day. She could ask the whole school in one big noisy meeting, but half the learners would stay quiet. A short, well-designed questionnaire lets every learner answer privately and gives her clean facts she can count.

1. What makes a good questionnaire?

A questionnaire is a list of questions that we give to a group of people, called respondents, so that we can collect data in the same way from each of them. Because everyone answers the same questions, we can compare and count the answers easily.

A good questionnaire has these features:

  • A title and a short introduction saying who you are and why you are asking.
  • Short and relevant: ask only what you need to answer your main question. Eight to ten questions is enough for a class survey.
  • Clear and simple language: one idea per question, with no hard words.
  • Fair and neutral: the question must not push the respondent towards an answer.
  • Easy to answer and to count: give answer boxes or blanks with units, such as GH₵ ______.
  • Polite and private: thank the respondent and do not force anyone to give their name.

▶ Follow the five steps from the aim to the recorded results. Notice that the pilot test comes before the real survey.

2. Writing good questions

There are two main kinds of question. A closed question gives a fixed list of answers to tick, so it is quick to count. An open question lets the respondent answer in their own words or with a number, which gives more detail but takes longer to analyse.

Closed and open questions
KindExampleGood for
Closed (Yes/No)Do you walk to school? Yes / NoQuick counts
Closed (choose one)Your favourite subject: Mathematics / English / Science / Social Studies / OtherFrequency tables and bar charts
Open (number)How much do you spend on bus fare to school every day? GH₵ ______Calculating the mean
Open (words)Why do you like this subject? ______Detailed opinions

Compare these pairs of questions. The first in each pair is poor; the second is better.

Fixing weak questions
ProblemPoor questionBetter question
VagueDo you spend a lot on transport?How much do you spend on bus fare to school every day? GH₵ ______
LeadingDon't you agree that mathematics is the best subject?Which is your favourite subject?
Two questions in oneDo you like English and Science?Do you like English? Do you like Science? (two questions)
Overlapping optionsAge: 10–12, 12–14, 14–16Age: 10–11, 12–13, 14–15

3. Administering the questionnaire

To administer a questionnaire means to give it out, explain it and collect the answers. How you do this is as important as how you wrote the questions.

  1. 1Pilot test. Give the form to three or four learners. Ask them which questions were confusing. Fix them before you begin.
  2. 2Choose a fair sample. For a class of 40 you could ask every learner. For a bigger group pick names by a rule, such as every 5th name on the register.
  3. 3Explain and ask permission. Tell respondents the purpose and that answers are private.
  4. 4Give the same instructions to everyone and allow enough time. Do not influence answers by smiling or frowning.
  5. 5Collect all forms and check that each is complete. Number each form so that you do not lose or count one twice.

If you cannot reach every person, record how many forms you gave out and how many came back. If only a few come back, your results may not represent the whole group, so be careful with your conclusions.

4. Recording the results

After collecting the forms, copy every answer into one data table. Each row is one respondent and each column is one question. This is called a raw data table.

Part of a raw data table (5 of 20 respondents)
No.AgeFavourite subjectFavourite dayDaily bus fare (GH₵)
112MathematicsFriday3
213EnglishSaturday2
312ScienceFriday4
412MathematicsSunday3
513MathematicsFriday5

Next, for each question count how many respondents gave each answer. We use a tally: draw a stroke for every answer and cross the fourth with a fifth stroke to make a bundle of five, like ||||. Then write the total in a frequency column.

Tally chart for 20 learners
Favourite subjectTallyFrequency
Mathematics|||| |6
English||||5
Science||||4
Social Studies|||3
RME||2
Total20

▶ The bar for Mathematics is the tallest, so it is the most popular subject in this survey.

Worked examples

Try each one yourself first, then open the solution and compare every step.

Example 1

Improve the question

Kojo wrote: 'Do you agree that Black Stars are the best team in Africa?' Explain what is wrong and rewrite it.
Show the solution
  1. Step 1The question is leading: it pushes the respondent to say yes.
  2. Step 2A neutral question is: 'Which national team do you think is the best in Africa?' with a list of choices and 'Other'.

Answer: It is a leading question. Better: 'Which national team do you think is the best in Africa?'

Example 2

Writing a closed question

Write a closed question with four non-overlapping answer choices to find the age group of learners.
Show the solution
  1. Step 1Pick ranges that do not share any number: 10–11, 12–13, 14–15, 16 or above.
  2. Step 2Check that every possible age is covered and that no age fits two choices.

Answer: Age: 10–11 / 12–13 / 14–15 / 16 or above

Example 3

Totalling responses

Eight learners gave their daily bus fare in GH₵: 2, 3, 3, 5, 2, 4, 3, 6. What is the total spent, and which fare was paid most often?
Show the solution
  1. Step 1Total = 2 + 3 + 3 + 5 + 2 + 4 + 3 + 6 = 28.
  2. Step 2Count each fare: GH₵2 appears 2 times, GH₵3 appears 3 times, GH₵4 once, GH₵5 once, GH₵6 once.
  3. Step 3The fare that appears most is GH₵3.

Answer: Total GH₵28; the most common fare is GH₵3.

Example 4

Completing a tally

Twenty learners chose a favourite day: Friday 8, Saturday 6, Sunday 4, Monday 2. Show the frequency table and check the total.
Show the solution
  1. Step 1Write each day with its tally: Friday |||| |||, Saturday |||| |, Sunday ||||, Monday ||.
  2. Step 2Frequencies: 8, 6, 4, 2.
  3. Step 3Total = 8 + 6 + 4 + 2 = 20, which equals the number of learners ✓

Answer: Friday 8, Saturday 6, Sunday 4, Monday 2; total 20.

Example 5

Response rate

Akosua gave out 50 questionnaires. 42 were returned, but 3 of them were not completed. How many forms can be used, and what percentage of the 50 is that?
Show the solution
  1. Step 1Usable forms = 42 − 3 = 39.
  2. Step 2Percentage = 39 ÷ 50 × 100 = 78%.
  3. Step 3Akosua should say that her results come from 78% of the sample.

Answer: 39 usable forms, which is 78%.

Summary

  • A questionnaire is a set of clear, neutral questions answered by respondents.
  • Closed questions give fixed choices; open questions allow the respondent's own answer.
  • Avoid vague, leading, double and overlapping questions.
  • Pilot test first, then give the questionnaire to a fair sample and explain it politely.
  • Record answers in a raw data table, then use a tally and frequency table; the frequencies must add up to the number of forms.

Practice: 15 questions

5 easy, 5 medium, 5 hard. Each one is marked straight away, with a full worked solution.

You can practise without an account, but sign up free or sign in to save your progress.

1 easy
Which of these is a closed question?
2 easy
A trial run of a questionnaire with a few people before the real survey is called a ______ test. (one word)
3 easy
In a survey of 30 learners, 12 chose Science as their favourite subject. What percentage chose Science?
4 easy
Which question is leading?
5 easy
In the tally |||| |||| ||| how many responses are there?
6 medium word problem
Eight learners pay these daily bus fares in GH₵: 2, 3, 3, 5, 2, 4, 3, 6. Find the total amount they pay in a day (in GH₵).
7 medium
A question on age gives these choices: 10–12, 12–14, 14–16. What is wrong?
8 medium
In a survey of 20 learners: Mathematics 6, English 5, Science 4, Social Studies 3, RME 2. How many learners chose English or Science?
9 medium word problem
Akosua gave out 50 questionnaires. 42 came back but 3 were incomplete. What percentage of the 50 forms are usable?
10 medium
Which is the best way to ask about daily bus fare?
11 hard word problem
Ten learners reported their daily bus fares (GH₵): 2, 3, 3, 4, 5, 3, 2, 6, 3, 4.
  1. (a) What is the total of the ten fares (GH₵)?

  2. (b) How many learners paid GH₵3?

  3. (c) What percentage of the ten learners paid GH₵3?

12 hard
Which of these is NOT a feature of a good questionnaire?
13 hard word problem
A questionnaire was given to 5 classes of 40 learners. 85% of the forms were returned. How many forms were returned?
14 hard
Kwesi writes the question: 'Do you like mathematics and English?' with Yes / No. What is the main problem?
15 hard word problem
In a survey of 36 learners, 9 chose Saturday as their favourite day. In a pie chart, what angle should the Saturday sector have (in degrees)?