Let's solve each of these problems step by step.
🔍 What is the Mode?
The
mode is the number that appears
most frequently in a data set.
- If no number repeats, there is
no mode.
- If two numbers tie for most frequent, the data set is
bimodal.
- More than two modes? Then it's
multimodal.
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Now let’s go through each data set:
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1) 3, 7, 15, 3
- Count:
- 3 → appears
2 times
- 7 → 1 time
- 15 → 1 time
✔ Mode = 3
---
2) 10, 9, 23, 10, 15, 34, 23
- Count:
- 10 → 2 times
- 23 → 2 times
- 9, 15, 34 → 1 time each
✔ Two numbers (10 and 23) appear twice →
Bimodal:
10 and 23
But since the question asks for "the mode", and both are equally frequent, we write
10 and 23.
---
3) 24, 16, 5, 16, 9
- Count:
- 16 → 2 times
- 24, 5, 9 → 1 time each
✔ Mode = 16
---
4) 35, 12, 35, 7, 35
- Count:
- 35 → 3 times
- 12, 7 → 1 time each
✔ Mode = 35
---
5) 45, 8, 11, 15, 8, 15
- Count:
- 8 → 2 times
- 15 → 2 times
- 45, 11 → 1 time each
✔ Both 8 and 15 appear twice →
Bimodal:
8 and 15
---
6) 14, 1, 27, 16, 27, 3
- Count:
- 27 → 2 times
- 14, 1, 16, 3 → 1 time each
✔ Mode = 27
---
7) 38, 17, 2, 38, 6
- Count:
- 38 → 2 times
- 17, 2, 6 → 1 time each
✔ Mode = 38
---
8) 36, 40, 17, 40
- Count:
- 40 → 2 times
- 36, 17 → 1 time each
✔ Mode = 40
---
9) 5, 44, 2, 5, 2, 2, 5
- Count:
- 5 → 3 times
- 2 → 3 times
- 44 → 1 time
✔ Both 5 and 2 appear 3 times →
Bimodal:
2 and 5
---
10) 42, 13, 4, 13, 28, 5, 4
- Count:
- 13 → 2 times
- 4 → 2 times
- 42, 28, 5 → 1 time each
✔ Both 13 and 4 appear twice →
Bimodal:
4 and 13
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✔ Final Answers:
1)
3
2)
10 and 23
3)
16
4)
35
5)
8 and 15
6)
27
7)
38
8)
40
9)
2 and 5
10)
4 and 13
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of mean mode median and range worksheet.
