Calculate the Median | Turtle Diary Worksheet - Free Printable
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Step-by-step solution for: Calculate the Median | Turtle Diary Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Calculate the Median | Turtle Diary Worksheet
Let's solve each question step by step to find the median of the given sets of numbers. The median is the middle number when the numbers are arranged in order from least to greatest.
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1. Arrange the numbers in ascending order.
2. If there's an odd number of values, the median is the middle number.
3. If there's an even number of values, the median is the average of the two middle numbers.
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Now let's go through each question:
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- Ordered: 10, 24, 34, 55, 80 → 5 numbers (odd)
- Middle number: 34
- ✔ Median = 34
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- Ordered: 20, 50, 60, 80 → 4 numbers (even)
- Two middle numbers: 50 and 60
- Average: (50 + 60) / 2 = 55
- ✔ Median = 55
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- Ordered: 0, 10, 15, 15, 16, 25 → 6 numbers (even)
- Middle two: 15 and 15
- Average: (15 + 15)/2 = 15
- ✔ Median = 15
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- Ordered: 1, 2, 3, 5, 5 → 5 numbers (odd)
- Middle number: 3
- ✔ Median = 3
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- Ordered: 1, 2, 2, 3, 7 → 5 numbers (odd)
- Middle number: 2
- ✔ Median = 2
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- Ordered: 1, 1, 5, 7, 9 → 5 numbers (odd)
- Middle number: 5
- ✔ Median = 5
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- Already ordered: 1, 2, 3, 4, 5 → 5 numbers (odd)
- Middle number: 3
- ✔ Median = 3
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- Ordered: 1, 2, 4, 5, 7 → 5 numbers (odd)
- Middle number: 4
- ✔ Median = 4
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- Ordered: 1, 2, 3, 6, 9, 9 → 6 numbers (even)
- Middle two: 3 and 6
- Average: (3 + 6)/2 = 4.5
- ✔ Median = 4.5
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- Ordered: 3, 3, 4, 10, 14, 20 → 6 numbers (even)
- Middle two: 4 and 10
- Average: (4 + 10)/2 = 7
- ✔ Median = 7
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- Ordered: 1, 5, 6, 9, 12 → 5 numbers (odd)
- Middle number: 6
- ✔ Median = 6
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- Ordered: 4, 4, 5, 11, 15, 21 → 6 numbers (even)
- Middle two: 5 and 11
- Average: (5 + 11)/2 = 8
- ✔ Median = 8
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- Ordered: 1, 1, 2, 8, 12, 18 → 6 numbers (even)
- Middle two: 2 and 8
- Average: (2 + 8)/2 = 5
- ✔ Median = 5
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- Ordered: 2, 2, 3, 9, 13, 19 → 6 numbers (even)
- Middle two: 3 and 9
- Average: (3 + 9)/2 = 6
- ✔ Median = 6
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- Ordered: 16, 18, 18, 18, 25, 37 → 6 numbers (even)
- Middle two: 18 and 18
- Average: (18 + 18)/2 = 18
- ✔ Median = 18
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- Ordered: 18, 20, 20, 20, 27, 39 → 6 numbers (even)
- Middle two: 20 and 20
- Average: (20 + 20)/2 = 20
- ✔ Median = 20
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- Ordered: 4, 5, 6, 6, 7, 8 → 6 numbers (even)
- Middle two: 6 and 6
- Average: (6 + 6)/2 = 6
- ✔ Median = 6
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- Ordered: 5, 12, 13, 13, 14, 15 → 6 numbers (even)
- Middle two: 13 and 13
- Average: (13 + 13)/2 = 13
- ✔ Median = 13
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| Q | Median |
|---|--------|
| Q1 | 34 |
| Q2 | 55 |
| Q3 | 15 |
| Q4 | 3 |
| Q5 | 2 |
| Q6 | 5 |
| Q7 | 3 |
| Q8 | 4 |
| Q9 | 4.5 |
| Q10 | 7 |
| Q11 | 6 |
| Q12 | 8 |
| Q13 | 5 |
| Q14 | 6 |
| Q15 | 18 |
| Q16 | 20 |
| Q17 | 6 |
| Q18 | 13 |
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You can now fill these answers into the worksheet! Let me know if you'd like a printable version or explanation for any specific one.
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How to Find the Median:
1. Arrange the numbers in ascending order.
2. If there's an odd number of values, the median is the middle number.
3. If there's an even number of values, the median is the average of the two middle numbers.
---
Now let's go through each question:
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Q1. 10, 24, 34, 80, 55
- Ordered: 10, 24, 34, 55, 80 → 5 numbers (odd)
- Middle number: 34
- ✔ Median = 34
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Q2. 60, 50, 80, 20
- Ordered: 20, 50, 60, 80 → 4 numbers (even)
- Two middle numbers: 50 and 60
- Average: (50 + 60) / 2 = 55
- ✔ Median = 55
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Q3. 0, 15, 16, 25, 10, 15
- Ordered: 0, 10, 15, 15, 16, 25 → 6 numbers (even)
- Middle two: 15 and 15
- Average: (15 + 15)/2 = 15
- ✔ Median = 15
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Q4. 5, 2, 1, 5, 3
- Ordered: 1, 2, 3, 5, 5 → 5 numbers (odd)
- Middle number: 3
- ✔ Median = 3
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Q5. 2, 7, 3, 2, 1
- Ordered: 1, 2, 2, 3, 7 → 5 numbers (odd)
- Middle number: 2
- ✔ Median = 2
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Q6. 5, 1, 7, 9, 1
- Ordered: 1, 1, 5, 7, 9 → 5 numbers (odd)
- Middle number: 5
- ✔ Median = 5
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Q7. 1, 2, 3, 4, 5
- Already ordered: 1, 2, 3, 4, 5 → 5 numbers (odd)
- Middle number: 3
- ✔ Median = 3
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Q8. 2, 1, 5, 7, 4
- Ordered: 1, 2, 4, 5, 7 → 5 numbers (odd)
- Middle number: 4
- ✔ Median = 4
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Q9. 3, 9, 9, 6, 1, 2
- Ordered: 1, 2, 3, 6, 9, 9 → 6 numbers (even)
- Middle two: 3 and 6
- Average: (3 + 6)/2 = 4.5
- ✔ Median = 4.5
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Q10. 10, 20, 4, 3, 14, 3
- Ordered: 3, 3, 4, 10, 14, 20 → 6 numbers (even)
- Middle two: 4 and 10
- Average: (4 + 10)/2 = 7
- ✔ Median = 7
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Q11. 12, 6, 5, 9, 1
- Ordered: 1, 5, 6, 9, 12 → 5 numbers (odd)
- Middle number: 6
- ✔ Median = 6
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Q12. 11, 21, 5, 4, 15, 4
- Ordered: 4, 4, 5, 11, 15, 21 → 6 numbers (even)
- Middle two: 5 and 11
- Average: (5 + 11)/2 = 8
- ✔ Median = 8
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Q13. 8, 18, 2, 1, 12, 1
- Ordered: 1, 1, 2, 8, 12, 18 → 6 numbers (even)
- Middle two: 2 and 8
- Average: (2 + 8)/2 = 5
- ✔ Median = 5
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Q14. 9, 19, 3, 2, 13, 2
- Ordered: 2, 2, 3, 9, 13, 19 → 6 numbers (even)
- Middle two: 3 and 9
- Average: (3 + 9)/2 = 6
- ✔ Median = 6
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Q15. 37, 18, 25, 16, 18, 18
- Ordered: 16, 18, 18, 18, 25, 37 → 6 numbers (even)
- Middle two: 18 and 18
- Average: (18 + 18)/2 = 18
- ✔ Median = 18
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Q16. 39, 20, 27, 18, 20, 20
- Ordered: 18, 20, 20, 20, 27, 39 → 6 numbers (even)
- Middle two: 20 and 20
- Average: (20 + 20)/2 = 20
- ✔ Median = 20
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Q17. 4, 5, 6, 6, 7, 8
- Ordered: 4, 5, 6, 6, 7, 8 → 6 numbers (even)
- Middle two: 6 and 6
- Average: (6 + 6)/2 = 6
- ✔ Median = 6
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Q18. 5, 12, 13, 13, 14, 15
- Ordered: 5, 12, 13, 13, 14, 15 → 6 numbers (even)
- Middle two: 13 and 13
- Average: (13 + 13)/2 = 13
- ✔ Median = 13
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✔ Final Answers:
| Q | Median |
|---|--------|
| Q1 | 34 |
| Q2 | 55 |
| Q3 | 15 |
| Q4 | 3 |
| Q5 | 2 |
| Q6 | 5 |
| Q7 | 3 |
| Q8 | 4 |
| Q9 | 4.5 |
| Q10 | 7 |
| Q11 | 6 |
| Q12 | 8 |
| Q13 | 5 |
| Q14 | 6 |
| Q15 | 18 |
| Q16 | 20 |
| Q17 | 6 |
| Q18 | 13 |
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You can now fill these answers into the worksheet! Let me know if you'd like a printable version or explanation for any specific one.
Parent Tip: Review the logic above to help your child master the concept of finding the median worksheet.
