๐Ÿ“Š Statistics District ยท Grouped data

Median class

Use real data and precise language to work confidently with median class. In this lesson, focus on the median is the middle value after the data is ordered.

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Understand Median class

Use real data and precise language to work confidently with median class. In this lesson, focus on the median is the middle value after the data is ordered.

The median is the middle value after the data is ordered. It depends on position rather than the total, which makes it less sensitive than the mean to a very large outlier. For median class, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.

Start here

Median class: The median is the middle value after the data is ordered. Count values on each side of the proposed median; the ordered list should balance around the centre. Keep the median class representation visible until the final line.

Picture the idea

Drag values into order and highlight the central position or central pair. Use the model to explain one change you notice while working on median class.

Check as you go

Count values on each side of the proposed median; the ordered list should balance around the centre. Write that check beside the final median class answer.

Key vocabulary

medianordered datamiddle positioneven numberfrequencyclass

Rules and key facts

Given information: Median class โ€” Calculate 3 ร— 2 + 4. Method choice: Put the values in order before finding the middle. For an even number of values, find the mean of the middle pair. Calculation or reasoning: Use the given values with the stated relationship. Show the calculation clearly to obtain 10. Final answer: 10. Check: For an even number of values, find the mean of the middle pair.

  • Order values from smallest to largest.
  • Count how many values there are.
  • Locate the middle value or the two middle values.
  • If there are two middle values, find their mean. Record the check explicitly for median class.

Step-by-step method

  1. Order values from smallest to largest.
  2. Count how many values there are.
  3. Locate the middle value or the two middle values.
  4. If there are two middle values, find their mean. Record the check explicitly for median class.

What you need first

  • Recognise the vocabulary: median, ordered data, middle position.
  • Be able to explain the purpose of median class before calculating.
  • Keep the relevant values, units and representation visible while you work.

Real-world use

  • House-price summaries
  • Typical waiting times

Visual / interactive

See the idea, then move it around

Skip to Practice

Drag values into order and highlight the central position or central pair. Use the model to explain one change you notice while working on median class.

Grouped data estimator Connected to this topic; move controls, check outputs, then earn XP only from verified actions.
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Worked examples

Examples, methods and exam thinking

Level 1 ยท Foundation

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

Level 2 ยท Secure

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

Level 3 ยท Challenge

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

Level 4 ยท Exam-style

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

Foundation example

Build confidence

Given information: Median class โ€” Calculate 3 ร— 2 + 4. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 2 + 4. Final answer: 10. Check: substitute or compare with the original information to confirm the result fits the question.

  1. Order values from smallest to largest.
  2. Count how many values there are.
  3. Locate the middle value or the two middle values.
Secure example

Use the normal method

Given information: Median class โ€” Calculate 3 ร— 14 + 14. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 14 + 14. Final answer: 56. Check: substitute or compare with the original information to confirm the result fits the question.

Check: Check the median class result against the original information.

Challenge example

Stretch the idea

Given information: Median class โ€” Calculate 3 ร— 13 + 9. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 13 + 9. Final answer: 48. 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: Median class โ€” Calculate 3 ร— 12 + 4. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 12 + 4. Final answer: 40. 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

  • Finding the middle before ordering. This is a key trap when answering median class questions.
  • Choosing both middle values without averaging when the count is even.

How to check your answer

Count values on each side of the proposed median; the ordered list should balance around the centre. Write that check beside the final median class answer.

Extension challenge

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

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Median class challenge

Use median sort controls to solve three checked median class rounds. Solve at least two of three marked rounds and use feedback to correct any error.

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Boss challenge

Challenge Median class Guardian

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Median class Guardian

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Study cards

Core idea

Median class: The median is the middle value after the data is ordered. Count values on each side of the proposed median; the ordered list should balance around the centre. Keep the median class representation visible until the final line.

Tap to mark reviewed
Key vocabulary

median ยท ordered data ยท middle position ยท even number ยท frequency ยท class

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Rules

Order values from smallest to largest. Count how many values there are. Locate the middle value or the two middle values. If there are two middle values, find their mean. Record the check explicitly for median class.

Tap to mark reviewed
Formula / fact

Given information: Median class โ€” Calculate 3 ร— 2 + 4. Method choice: Put the values in order before finding the middle. For an even number of values, find the mean of the middle pair. Calculation or reasoning: Use the given values with the stated relationship. Show the calculation clearly to obtain 10. Final answer: 10. Check: For an even number of values, find the mean of the middle pair.

Tap to mark reviewed
Foundation example

Given information: Median class โ€” Calculate 3 ร— 2 + 4. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 2 + 4. Final answer: 10. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Secure example

Given information: Median class โ€” Calculate 3 ร— 14 + 14. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 14 + 14. Final answer: 56. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Challenge example

Given information: Median class โ€” Calculate 3 ร— 13 + 9. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 13 + 9. Final answer: 48. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Exam-style example

Given information: Median class โ€” Calculate 3 ร— 12 + 4. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 12 + 4. Final answer: 40. Check: substitute or compare with the original information to confirm the result fits the question.

Tap to mark reviewed
Common mistake

Finding the middle before ordering. This is a key trap when answering median class questions.

Tap to mark reviewed
Exam tip

For median class, show the key representation before the final calculation. Use this final check: Count values on each side of the proposed median; the ordered list should balance around the centre.

Tap to mark reviewed
Real-world use

House-price summaries, Typical waiting times

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Checklist

I can explain median class, use the method, check for mistakes, and answer an exam-style question.

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Flashcards

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Help for Median class

Use this whenever a question feels confusing. Nothing here is locked.

Simple explanation

Median class: The median is the middle value after the data is ordered. Count values on each side of the proposed median; the ordered list should balance around the centre. Keep the median class representation visible until the final line.

Think of median class 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. Order values from smallest to largest.
  2. Count how many values there are.
  3. Locate the middle value or the two middle values.
  4. If there are two middle values, find their mean. Record the check explicitly for median class.

Hint 1

Start by naming the given information and the exact result required for median class.

Hint 2

Order values from smallest to largest.

Full worked solution

Given information: Median class โ€” Calculate 3 ร— 2 + 4. Method choice: use the median class method and show each step with the stated values. Calculation or reasoning: Calculate 3 ร— 2 + 4. Final answer: 10. Check: substitute or compare with the original information to confirm the result fits the question.

Method: Order values from smallest to largest. โ†’ Count how many values there are. โ†’ Locate the middle value or the two middle values. โ†’ If there are two middle values, find their mean. Record the check explicitly for median class.

Common mistake warning

Finding the middle before ordering. This is a key trap when answering median class questions.

Choose a support button above when you need a nudge.

Mastery milestones

Badges reward learning, not locked clicking

  • I can explain median class in my own words.
  • I can use these words accurately: median, ordered data, middle position.
  • I can follow the 4-step method without guessing.
  • I can avoid this mistake: Finding the middle before ordering.
  • I can apply this check: Count values on each side of the proposed median; the ordered list should balance around the centre.
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