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Teaching video
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Grade 6 chapters and video availability01 · Read and understand
What you will learn
- Compare median and mode as different summaries.
- Explain your method and check what the result means in the stated situation.
Before you start
Fraction and decimal operations, whole-number factors, measurement units, and reading simple tables.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
Find the median and mode of 6, 2, 8, 6, 3.
Why this math matters
Choose a summary by understanding whether the question asks about position or frequency. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.
Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.
Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
Find the middle and most frequent values
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Find the median and mode of 6, 2, 8, 6, 3.
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
Sorted values: 2, 3, 6, 6, 8
Ordering is necessary for the median.
Connect the parts
Middle of five values: 6
Two observations lie on each side of the third value.
State and check the result
Median = 6; mode = 6
The same value is also most frequent here, but the two definitions differ.
The result
Median = 6; mode = 6
The same value is also most frequent here, but the two definitions differ.
Common mistakes to catch
- Sort before finding a median.
- The median and mode need not match or be unique in the same way.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
Find the median of 1, 4, 7, 10.
Show a hint
Average the two middle values.
Reveal answer and explanation
5.5
(4 + 7)/2 = 5.5.
Practice 2
What are the modes of 2, 2, 5, 5, 9?
Show a hint
Both highest frequencies are two.
Reveal answer and explanation
2 and 5
A data set can have more than one mode.
Take the idea with you
Choose a summary by understanding whether the question asks about position or frequency.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Measure overall and middle-half spread
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