Question

4.
Match the stem and leaf plot below to the correct set of data.

1 ∣ 7 means 1.7
stem leaf
1 7 7 3
2 8 8 6
3 7 5





17, 17, 13, 28, 28, 26, 37, 35


7, 7, 3, 8, 8, 6, 7, 5


1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7


1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7, 3.7

Answer 1

To match the stem-and-leaf plot to the correct set of data, let's first interpret the stem-and-leaf plot provided.

The plot:
```
stem leaf
1 7 7 3
2 8 8 6
3 7 5
```

**Interpreting the plot:**
- The "stem" represents the whole number part, and the "leaf" represents the decimal part.
- From the first row, "1 | 7 7 3" corresponds to:
- 1.7
- 1.7
- 1.3
- From the second row, "2 | 8 8 6" corresponds to:
- 2.8
- 2.8
- 2.6
- From the third row, "3 | 7 5" corresponds to:
- 3.7
- 3.5

**Combining these values:**
We have:
- 1.3
- 1.7
- 1.7
- 2.6
- 2.8
- 2.8
- 3.5
- 3.7

Now, let's compare this to the sets of data provided:

1. **17, 17, 13, 28, 28, 26, 37, 35** (not a match because values are not in decimal)
2. **7, 7, 3, 8, 8, 6, 7, 5** (not a match, not decimal format)
3. **1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7** (this matches)
4. **1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7, 3.7** (this includes an extra 3.7, so it does not match)

Therefore, the correct match to the stem-and-leaf plot is:

**3. 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7**