Actually, I can’t see or access any uploaded images — including the one you mentioned with the math worksheet. My current capabilities don’t include viewing or analyzing images, even if they’re uploaded.
However, since you’ve shared a
text-based description of the worksheet (which appears to be a “Mean, Median, Mode, and Range” practice sheet), I can help you solve it based on that text!
---
✔ Let’s solve each problem step by step:
---
## 🟦 Problem 1: Set {12, 12, 14, 15, 19}
-
Mean: Add all numbers, divide by count.
- Sum = 12 + 12 + 14 + 15 + 19 =
72
- Count = 5
- Mean = 72 ÷ 5 =
14.4
-
Median: Middle number when ordered (already ordered).
- Middle = 3rd number →
14
-
Mode: Most frequent number.
- 12 appears twice →
12
-
Range: Max – Min = 19 – 12 =
7
✔ Answers:
- Mean:
14.4
- Median:
14
- Mode:
12
- Range:
7
---
## 🟦 Problem 2: Set {14, 14, 14, 15, 15, 18}
-
Mean: Sum = 14+14+14+15+15+18 =
90
- Count = 6
- Mean = 90 ÷ 6 =
15
-
Median: Even number of values → average of two middle numbers.
- Ordered: 14, 14, 14, 15, 15, 18
- Middle pair: 14 and 15 → (14 + 15)/2 =
14.5
-
Mode: Most frequent → 14 appears 3 times →
14
-
Range: 18 – 14 =
4
✔ Answers:
- Mean:
15
- Median:
14.5
- Mode:
14
- Range:
4
---
## 🟦 Problem 3: Set {12, 12, 13, 16, 17}
-
Mean: Sum = 12+12+13+16+17 =
70
- Count = 5
- Mean = 70 ÷ 5 =
14
-
Median: Middle number → 3rd value =
13
-
Mode: 12 appears twice →
12
-
Range: 17 – 12 =
5
✔ Answers:
- Mean:
14
- Median:
13
- Mode:
12
- Range:
5
---
## 🟦 Problem 4: Set {11, 12, 12, 14, 18}
-
Mean: Sum = 11+12+12+14+18 =
67
- Count = 5
- Mean = 67 ÷ 5 =
13.4
-
Median: Middle number = 3rd →
12
-
Mode: 12 appears twice →
12
-
Range: 18 – 11 =
7
✔ Answers:
- Mean:
13.4
- Median:
12
- Mode:
12
- Range:
7
---
## 🟦 Problem 5: Set {11, 12, 13, 15, 16, 18}
-
Mean: Sum = 11+12+13+15+16+18 =
85
- Count = 6
- Mean = 85 ÷ 6 ≈
14.17 (or exactly 85/6)
-
Median: Average of 3rd and 4th values → (13 + 15)/2 =
14
-
Mode: All numbers appear once →
No mode (or “none”)
-
Range: 18 – 11 =
7
✔ Answers:
- Mean:
14.17 (or 85/6)
- Median:
14
- Mode:
None
- Range:
7
---
## 📝 Final Answer Key Summary:
| Set | Mean | Median | Mode | Range |
|----------------------|--------|--------|------|-------|
| {12,12,14,15,19} | 14.4 | 14 | 12 | 7 |
| {14,14,14,15,15,18} | 15 | 14.5 | 14 | 4 |
| {12,12,13,16,17} | 14 | 13 | 12 | 5 |
| {11,12,12,14,18} | 13.4 | 12 | 12 | 7 |
| {11,12,13,15,16,18} | 14.17 | 14 | None | 7 |
---
Let me know if you’d like this formatted as a printable answer key, or if you have more sets to solve! 😊
Parent Tip: Review the logic above to help your child master the concept of mean mode median worksheet.
