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📦 Sample package generated by CardForge — staged demo. This is a preview of generated output, not a live curriculum card. The real Mean/Median/Mode lesson lives at /lessons/8-2/.

Grade 6 · Statistics & Data · 6.SP.3

Mean, Median, Mode, and Range

I can find the mean, median, mode, and range of a data set. Language: I can explain which measure I used with the words mean, median, mode, range, and outlier.

✅ QA: PASS — 0 blocking, 0 warnings

Standard
6.SP.3
Grade
Grade 6
Time
~45 min
Difficulty
Easy

Words to Know (EN / ES)

Mean (Media) — The average. Add all the numbers, then divide by how many there are. Mean of 2, 4, 6 → (2+4+6) ÷ 3 = 4.
Median (Mediana) — The middle number when the data is in order. 1, 3, 5, 7, 9 → median = 5.
Mode (Moda) — The number that appears most often. 2, 3, 3, 5 → mode = 3.
Range (Rango) — The biggest number minus the smallest. 4, 9, 20, 5 → 20 − 4 = 16.
Outlier (Valor atípico) — A number much bigger or smaller than the rest. 10, 12, 11, 50 → 50 is an outlier.

Worked Examples

Example 1. Find the mean, median, mode, and range of the test scores: 80, 85, 90, 85, 70.

  1. Order the data: 70, 80, 85, 85, 90.
  2. Mean: 70 + 80 + 85 + 85 + 90 = 410, then 410 ÷ 5 = 82.
  3. Median: the middle of five numbers is the 3rd → 85.
  4. Mode: 85 appears twice → 85.
  5. Range: 90 − 70 = 20.

Example 2. Find the mean, median, mode, and range of reading minutes: 10, 12, 15, 18.

  1. Already in order: 10, 12, 15, 18.
  2. Mean: 10 + 12 + 15 + 18 = 55, then 55 ÷ 4 = 13.75.
  3. Median: average the two middles → (12 + 15) ÷ 2 = 13.5.
  4. Mode: every number appears once → no mode.
  5. Range: 18 − 10 = 8.

Student Practice

Solve each problem. Show your work. Use a vocabulary word when you explain.

  1. Find the mean of 4, 8, 6, 2, 5.
  2. Find the median of 3, 9, 1, 7, 5.
  3. Find the mode of 2, 4, 4, 6, 4, 8.
  4. Find the range of 12, 7, 20, 5, 16.
  5. Test scores: 88, 92, 100, 88, 76, 96. Find the mean, median, mode, and range.
  6. Daily steps: 5000, 7000, 6000, 8000, 6000. Find the mean, median, mode, and range.
  7. For 10, 12, 14, 16, 18, 100, would the mean or the median better describe a typical value? Explain.
  8. Create your own data set of 5 numbers that has a mode of 9 and a range of 10.
Show answer key (teacher)
  1. Mean = 5  (4+8+6+2+5 = 25; 25 ÷ 5 = 5)
  2. Median = 5  (ordered 1, 3, 5, 7, 9 → middle = 5)
  3. Mode = 4  (4 appears three times)
  4. Range = 15  (20 − 5 = 15)
  5. Mean = 90, Median = 90, Mode = 88, Range = 24  (sum 540 ÷ 6 = 90; (88+92) ÷ 2 = 90; 88 twice; 100 − 76 = 24)
  6. Mean = 6400, Median = 6000, Mode = 6000, Range = 3000  (sum 32000 ÷ 5 = 6400; middle 6000; 6000 twice; 8000 − 5000 = 3000)
  7. ⚖️ Median (≈15) describes a typical value better than the mean (≈28.3) because 100 is an outlier. Rubric: names the median AND explains the outlier raises the mean.
  8. ⚖️ Answers vary. Sample: 5, 9, 9, 12, 15 → mode 9, range 10. Rubric: 9 appears most often AND greatest − least = 10.

Exit Ticket

  1. Find the mean of 6, 10, 8.
  2. Find the median of 4, 1, 9, 7, 3.
  3. In one sentence, explain the difference between range and mode.
Show exit-ticket answers (teacher)
  1. 8  (sum 24 ÷ 3)
  2. 4  (ordered 1, 3, 4, 7, 9 → middle = 4)
  3. Range is greatest − least (spread); mode is the most frequent value. Accept any correct comparison.

Reflection: When would the median describe a data set better than the mean? Use the word outlier in your answer.

This preview mirrors the staged CardForge package at tools/cardforge/staged/unit-8/lesson-demo-mean-median-mode-and-range-demo/ (teacher guide, student practice, answer key, exit ticket, card.json, resource manifest, and QA report). Rebuild it with npm run cardforge:stage -- tools/cardforge/examples/mean-median-mode-range/job.json.