📊 Statistics District · Tables

Ungrouped frequency tables

Use real data and precise language to work confidently with ungrouped frequency tables. In this lesson, focus on data work begins with a clear question and ends with a supported conclusion.

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Understand Ungrouped frequency tables

Use real data and precise language to work confidently with ungrouped frequency tables. In this lesson, focus on data work begins with a clear question and ends with a supported conclusion.

Data work begins with a clear question and ends with a supported conclusion. Choose an honest representation, calculate relevant summaries and quote evidence rather than relying on vague impressions. For ungrouped frequency tables, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.

Start here

Ungrouped frequency tables: Data work begins with a clear question and ends with a supported conclusion. Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Keep the ungrouped frequency tables representation visible until the final line.

Picture the idea

Build a frequency table from raw values and switch between chart and summary views before writing a conclusion. Use the model to explain one change you notice while working on ungrouped frequency tables.

Check as you go

Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Write that check beside the final ungrouped frequency tables answer.

Key vocabulary

datafrequencysamplecomparisonevidenceungroupedtables

Rules and key facts

Given information: Ungrouped frequency tables — A table records cats 3, dogs 2, fish 4 and rabbits 2. Find the total frequency. Method choice: Identify the values, frequencies or categories that answer the question. Quote the numbers being compared and link the conclusion to the context. Calculation or reasoning: Add all frequencies: 3 + 2 + 4 + 2 = 11. Final answer: 11. Check: Quote the numbers being compared and link the conclusion to the context.

  • Identify the question and the type of data.
  • Organise values carefully and choose a suitable display or summary.
  • Calculate or read the relevant evidence.
  • Write a contextual conclusion supported by values. Record the check explicitly for ungrouped frequency tables.

Step-by-step method

  1. Identify the question and the type of data.
  2. Organise values carefully and choose a suitable display or summary.
  3. Calculate or read the relevant evidence.
  4. Write a contextual conclusion supported by values. Record the check explicitly for ungrouped frequency tables.

What you need first

  • Recognise the vocabulary: data, frequency, sample.
  • Be able to explain the purpose of ungrouped frequency tables before calculating.
  • Keep the relevant values, units and representation visible while you work.

Real-world use

  • Survey design
  • Evidence-based decisions

Visual / interactive

See the idea, then move it around

Skip to Practice

Build a frequency table from raw values and switch between chart and summary views before writing a conclusion. Use the model to explain one change you notice while working on ungrouped frequency tables.

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Worked examples

Examples, methods and exam thinking

Level 1 · Foundation

Understand the idea with small numbers, one representation and one clear step.

Level 2 · Secure

Use the standard Year 8 method with mixed examples and normal wording.

Level 3 · Challenge

Handle multi-step or less familiar questions and explain choices.

Level 4 · Exam-style

Solve a worded question, show reasoning, check accuracy and write a final sentence.

Foundation example

Build confidence

Given information: Ungrouped frequency tables — A table records cats 3, dogs 2, fish 4 and rabbits 2. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 2 + 4 + 2 = 11. Final answer: 11. Check: substitute or compare with the original information to confirm the result fits the question.

  1. Identify the question and the type of data.
  2. Organise values carefully and choose a suitable display or summary.
  3. Calculate or read the relevant evidence.
Secure example

Use the normal method

Given information: Ungrouped frequency tables — A table records cats 3, dogs 14, fish 14 and rabbits 10. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 14 + 14 + 10 = 41. Final answer: 41. Check: substitute or compare with the original information to confirm the result fits the question.

Check: Check the ungrouped frequency tables result against the original information.

Challenge example

Stretch the idea

Given information: Ungrouped frequency tables — A table records cats 3, dogs 13, fish 9 and rabbits 7. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 13 + 9 + 7 = 32. Final answer: 32. Check: substitute or compare with the original information to confirm the result fits the question.

Try explaining why each step works before checking the answer.

Exam-style example

Show your reasoning

Given information: Ungrouped frequency tables — A table records cats 3, dogs 12, fish 4 and rabbits 4. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 12 + 4 + 4 = 23. Final answer: 23. Check: substitute or compare with the original information to confirm the result fits the question.

Exam tip: Underline the units and command word. Show the key calculation and write the answer in context.

Common mistakes

  • Using a vague conclusion without numbers. This is a key trap when answering ungrouped frequency tables questions.
  • Choosing a display that hides an important feature.

How to check your answer

Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Write that check beside the final ungrouped frequency tables answer.

Extension challenge

Create a ungrouped frequency tables problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.

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Ungrouped frequency tables challenge

Use evidence case controls to solve three checked ungrouped frequency tables rounds. Solve at least two of three marked rounds and use feedback to correct any error.

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Core idea

Ungrouped frequency tables: Data work begins with a clear question and ends with a supported conclusion. Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Keep the ungrouped frequency tables representation visible until the final line.

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Key vocabulary

data · frequency · sample · comparison · evidence · ungrouped · tables

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Rules

Identify the question and the type of data. Organise values carefully and choose a suitable display or summary. Calculate or read the relevant evidence. Write a contextual conclusion supported by values. Record the check explicitly for ungrouped frequency tables.

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Formula / fact

Given information: Ungrouped frequency tables — A table records cats 3, dogs 2, fish 4 and rabbits 2. Find the total frequency. Method choice: Identify the values, frequencies or categories that answer the question. Quote the numbers being compared and link the conclusion to the context. Calculation or reasoning: Add all frequencies: 3 + 2 + 4 + 2 = 11. Final answer: 11. Check: Quote the numbers being compared and link the conclusion to the context.

Tap to mark reviewed
Foundation example

Given information: Ungrouped frequency tables — A table records cats 3, dogs 2, fish 4 and rabbits 2. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 2 + 4 + 2 = 11. Final answer: 11. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Secure example

Given information: Ungrouped frequency tables — A table records cats 3, dogs 14, fish 14 and rabbits 10. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 14 + 14 + 10 = 41. Final answer: 41. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Challenge example

Given information: Ungrouped frequency tables — A table records cats 3, dogs 13, fish 9 and rabbits 7. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 13 + 9 + 7 = 32. Final answer: 32. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Exam-style example

Given information: Ungrouped frequency tables — A table records cats 3, dogs 12, fish 4 and rabbits 4. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 12 + 4 + 4 = 23. Final answer: 23. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Common mistake

Using a vague conclusion without numbers. This is a key trap when answering ungrouped frequency tables questions.

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Exam tip

For ungrouped frequency tables, show the key representation before the final calculation. Use this final check: Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question.

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Real-world use

Survey design, Evidence-based decisions

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Checklist

I can explain ungrouped frequency tables, use the method, check for mistakes, and answer an exam-style question.

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Flashcards

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Help for Ungrouped frequency tables

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Simple explanation

Ungrouped frequency tables: Data work begins with a clear question and ends with a supported conclusion. Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question. Keep the ungrouped frequency tables representation visible until the final line.

Think of ungrouped frequency tables as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.

Step-by-step breakdown

  1. Identify the question and the type of data.
  2. Organise values carefully and choose a suitable display or summary.
  3. Calculate or read the relevant evidence.
  4. Write a contextual conclusion supported by values. Record the check explicitly for ungrouped frequency tables.

Hint 1

Start by naming the given information and the exact result required for ungrouped frequency tables.

Hint 2

Identify the question and the type of data.

Full worked solution

Given information: Ungrouped frequency tables — A table records cats 3, dogs 2, fish 4 and rabbits 2. Find the total frequency. Method choice: use the ungrouped frequency tables method and show each step with the stated values. Calculation or reasoning: Add all frequencies: 3 + 2 + 4 + 2 = 11. Final answer: 11. Check: substitute or compare with the original information to confirm the result fits the question.

Method: Identify the question and the type of data. → Organise values carefully and choose a suitable display or summary. → Calculate or read the relevant evidence. → Write a contextual conclusion supported by values. Record the check explicitly for ungrouped frequency tables.

Common mistake warning

Using a vague conclusion without numbers. This is a key trap when answering ungrouped frequency tables questions.

Choose a support button above when you need a nudge.

Mastery milestones

Badges reward learning, not locked clicking

  • I can explain ungrouped frequency tables in my own words.
  • I can use these words accurately: data, frequency, sample.
  • I can follow the 4-step method without guessing.
  • I can avoid this mistake: Using a vague conclusion without numbers.
  • I can apply this check: Trace every quoted value back to the table or chart and ask whether the conclusion answers the original question.
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