Let’s go through each problem one by one. Remember: the
mode is the number that appears
most often in a list of numbers. If no number repeats, there is
no mode. If two or more numbers appear the same most次数 (and it’s more than once), then there can be
more than one mode.
---
1) 3, 7, 15, 3
- Count how many times each number appears:
- 3 → appears
2 times
- 7 → 1 time
- 15 → 1 time
- So,
3 appears most often.
→ Mode =
3
---
2) 10, 9, 23, 10, 15, 34, 23
- Count:
- 10 → 2 times
- 9 → 1
- 23 → 2 times
- 15 → 1
- 34 → 1
- Both
10 and 23 appear twice — that’s the highest count.
→ Mode =
10 and 23
*(Note: Some teachers accept “bimodal” for this, but since the worksheet just says “Mode =”, we’ll list both.)*
---
3) 24, 16, 5, 16, 9
- Count:
- 24 → 1
- 16 → 2 times ← most!
- 5 → 1
- 9 → 1
→ Mode =
16
---
4) 35, 12, 35, 7, 35
- Count:
- 35 → 3 times ← way more than others!
- 12 → 1
- 7 → 1
→ Mode =
35
---
5) 45, 8, 11, 15, 8, 15
- Count:
- 45 → 1
- 8 → 2 times
- 11 → 1
- 15 → 2 times
- Both
8 and 15 appear twice — tied for most.
→ Mode =
8 and 15
---
6) 14, 1, 27, 16, 27, 3
- Count:
- 14 → 1
- 1 → 1
- 27 → 2 times ← most!
- 16 → 1
- 3 → 1
→ Mode =
27
---
7) 38, 17, 2, 38, 6
- Count:
- 38 → 2 times ← most!
- 17 → 1
- 2 → 1
- 6 → 1
→ Mode =
38
---
8) 36, 40, 17, 40
- Count:
- 36 → 1
- 40 → 2 times ← most!
- 17 → 1
→ Mode =
40
---
9) 5, 44, 2, 5, 2, 2, 5
- Let’s count carefully:
- 5 → appears at positions 1, 4, 7 →
3 times
- 44 → 1 time
- 2 → appears at positions 3, 5, 6 →
3 times
- So both
5 and 2 appear 3 times — tied for most.
→ Mode =
2 and 5
*(Order doesn’t matter — you can write “2 and 5” or “5 and 2”)*
---
10) 42, 13, 4, 13, 28, 5, 4
- Count:
- 42 → 1
- 13 → 2 times
- 4 → 2 times
- 28 → 1
- 5 → 1
- Both
13 and 4 appear twice — tied for most.
→ Mode =
4 and 13
---
Final Answer:
1) Mode = 3
2) Mode = 10 and 23
3) Mode = 16
4) Mode = 35
5) Mode = 8 and 15
6) Mode = 27
7) Mode = 38
8) Mode = 40
9) Mode = 2 and 5
10) Mode = 4 and 13
Parent Tip: Review the logic above to help your child master the concept of median mode range worksheet.
