Let’s solve this step by step.
We are given a list of math test scores:
Row 1:
48, 70, 60, 68, 27, 53, 38, 52, 72, 35, 52, 51, 63, 71, 67
Row 2:
19, 73, 28, 61, 94, 67, 85, 54, 59, 61, 72, 68, 67, 57, 35
---
Step 1: List all the numbers in order (to make it easier to find min, max, median, mode)
Let’s write them all out and sort them from smallest to largest.
Total numbers: 15 in row 1 + 15 in row 2 =
30 numbers
List:
19, 27, 28, 35, 35, 38, 48, 51, 52, 52, 53, 54, 57, 59, 60, 61, 61, 63, 67, 67, 67, 68, 68, 70, 71, 72, 72, 73, 85, 94
✔ Sorted!
---
Step 2: Find minimum value
The smallest number is
19
---
Step 3: Find maximum value
The largest number is
94
---
Step 4: Find range
Range = Maximum – Minimum = 94 – 19 =
75
---
Step 5: Find mode
Mode = the number that appears most often.
Let’s count frequencies:
- 19 → 1
- 27 → 1
- 28 → 1
- 35 → 2
- 38 → 1
- 48 → 1
- 51 → 1
- 52 → 2
- 53 → 1
- 54 → 1
- 57 → 1
- 59 → 1
- 60 → 1
- 61 → 2
- 63 → 1
- 67 → 3 ← highest so far
- 68 → 2
- 70 → 1
- 71 → 1
- 72 → 2
- 73 → 1
- 85 → 1
- 94 → 1
→
67 appears 3 times, more than any other. So mode =
67
---
Step 6: Find median
Median = middle value when data is ordered.
We have 30 numbers → even number → median is average of 15th and 16th values.
Count to 15th and 16th in sorted list:
1. 19
2. 27
3. 28
4. 35
5. 35
6. 38
7. 48
8. 51
9. 52
10. 52
11. 53
12. 54
13. 57
14. 59
15.
60 ← 15th
16.
61 ← 16th
Median = (60 + 61) / 2 =
60.5
---
Now, let’s also build the stem-and-leaf plot as requested (though not asked for final answer, we did it to verify our work).
Stem = tens digit, Leaf = units digit.
Sorted data again:
19, 27, 28, 35, 35, 38, 48, 51, 52, 52, 53, 54, 57, 59, 60, 61, 61, 63, 67, 67, 67, 68, 68, 70, 71, 72, 72, 73, 85, 94
Stem | Leaf
1 | 9
2 | 7 8
3 | 5 5 8
4 | 8
5 | 1 2 2 3 4 7 9
6 | 0 1 1 3 7 7 7 8 8
7 | 0 1 2 2 3
8 | 5
9 | 4
This matches our sorted list — good!
---
Final Answers:
1. Minimum value: 19
2. Maximum value: 94
3. Range: 75
4. Mode: 67
5. Median: 60.5
Final Answer:
1. 19
2. 94
3. 75
4. 67
5. 60.5
Parent Tip: Review the logic above to help your child master the concept of stem leaf plot worksheet.
