Grasp Maths

Year 7

Plan, present and interpret a simple survey

Ask clear survey questions, collect data fairly, present findings sensibly and explain what the results suggest.

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Lesson overview

Statistics and data - survey design and interpretation

A survey is only useful if the questions are clear and the data is collected fairly. Good surveys use an appropriate sample, organise answers carefully and choose a chart or table that matches the type of data. Interpreting a survey means reading what the data suggests without claiming more than the evidence shows.

Survey questions should be clear

A question such as 'Which fruit do you prefer?' is easier to answer than a vague question such as 'Do you like food?'

Clear question

Which fruit do you prefer?

Vague question

Do you like food?

Clear questions produce more useful data.

Fair samples matter

If you only ask one friendship group, the results may not represent the whole year group.

SampleLikely quality
One friendship groupbiased
Different classes across the yearfairer

A survey should try to represent the wider group.

Interpretation should match the evidence

If 12 learners chose football and 8 chose basketball, football is more popular in the sample.

Say what the sample shows, not what must be true for everyone.

Worked example

A survey asks 20 learners for their favourite after-school activity: sport 9, reading 6, music 5. What can you conclude?

ActivityResponses
Sport9
Reading6
Music5
  1. Compare the response totals for each category.
  2. Sport has the highest total with 9 responses.
  3. Reading has more responses than music, but fewer than sport.
  4. So in this sample, sport was the most popular after-school activity.

Try it

Think about fairness, clarity and what the evidence really shows.

Question 1

Which survey question is clearer?

Option A

too vague

Option B

specific

Option C

too broad

Question 2

Which sample is likely to be fairest for a Year 7 survey?

Sample typeComment
One grouplimited
Several classesbroader
One clubbiased
Question 3

If 12 learners chose football and 8 chose basketball, what can you conclude?

Question 4

Why is a chart useful after collecting survey data?

Collect

get responses

Present

show clearly

Interpret

explain findings

Question 5

Which statement shows careful interpretation?

ActivityResponses
Sport9
Reading6

Common mistakes

Watch for these when working through the lesson.

  • Writing survey questions that are too vague or too leading.
  • Assuming a small or biased sample represents everyone.
  • Making conclusions that go beyond what the data shows.

Related topics

These ideas fit closely with this lesson.

  • Construct bar charts, pictograms and frequency tables.
  • Calculate mode, median, mean and range from small data sets.
  • Substitute into formulae.

Practice next

Independent practice will plug in here

This lesson builds the understanding first. Deeper adaptive practice can sit here later.