Worksheet on Stem and Leaf Diagrams with practice questions and a video tutorial link.

Here are the solutions to the problems on the worksheet.

Question 1: Draw ordered stem and leaf diagrams

To draw these, we split each number into a "stem" (the first digit or digits) and a "leaf" (the last digit). We must list the leaves in numerical order (smallest to largest) for each stem.

(a) Data: 35, 50, 38, 44, 53, 41, 39, 45, 48, 55
* Stems: 3, 4, 5
* Leaves for 3: 5, 8, 9 $\rightarrow$ Ordered: 5, 8, 9
* Leaves for 4: 4, 1, 5, 8 $\rightarrow$ Ordered: 1, 4, 5, 8
* Leaves for 5: 0, 3, 5 $\rightarrow$ Ordered: 0, 3, 5

Diagram (a):
```text
Stem | Leaf
3 | 5 8 9
4 | 1 4 5 8
5 | 0 3 5
```
Key: $3 | 5$ means 35

***

(b) Data: 18, 42, 5, 28, 33, 9, 15, 38, 32, 9, 11, 24, 40, 29, 24
* Stems: 0, 1, 2, 3, 4
*(Note: Single-digit numbers like 5 and 9 have a stem of 0)*
* Leaves for 0: 5, 9, 9 $\rightarrow$ Ordered: 5, 9, 9
* Leaves for 1: 8, 5, 1 $\rightarrow$ Ordered: 1, 5, 8
* Leaves for 2: 8, 4, 9, 4 $\rightarrow$ Ordered: 4, 4, 8, 9
* Leaves for 3: 3, 8, 2 $\rightarrow$ Ordered: 2, 3, 8
* Leaves for 4: 2, 0 $\rightarrow$ Ordered: 0, 2

Diagram (b):
```text
Stem | Leaf
0 | 5 9 9
1 | 1 5 8
2 | 4 4 8 9
3 | 2 3 8
4 | 0 2
```
Key: $1 | 1$ means 11

***

(c) Data: 153, 144, 148, 140, 149, 145, 144, 142, 158, 135, 140, 139, 160
* Stems: 13, 14, 15, 16
*(Since the numbers are in the 100s, the stem is the first two digits)*
* Leaves for 13: 5, 9 $\rightarrow$ Ordered: 5, 9
* Leaves for 14: 4, 8, 0, 9, 5, 4, 2, 0 $\rightarrow$ Ordered: 0, 0, 2, 4, 4, 5, 8, 9
* Leaves for 15: 3, 8 $\rightarrow$ Ordered: 3, 8
* Leaves for 16: 0 $\rightarrow$ Ordered: 0

Diagram (c):
```text
Stem | Leaf
13 | 5 9
14 | 0 0 2 4 4 5 8 9
15 | 3 8
16 | 0
```
Key: $14 | 0$ means 140

***

(d) Data: 3.4kg, 1.9kg, 2.8kg, 3.1kg, 5.1kg, 3.9kg, 4.8kg, 4.5kg, 2.2kg, 3.7kg
* Stems: 1, 2, 3, 4, 5
*(The stem is the whole number, the leaf is the decimal)*
* Leaves for 1: 9
* Leaves for 2: 8, 2 $\rightarrow$ Ordered: 2, 8
* Leaves for 3: 4, 1, 9, 7 $\rightarrow$ Ordered: 1, 4, 7, 9
* Leaves for 4: 8, 5 $\rightarrow$ Ordered: 5, 8
* Leaves for 5: 1

Diagram (d):
```text
Stem | Leaf
1 | 9
2 | 2 8
3 | 1 4 7 9
4 | 5 8
5 | 1
```
Key: $3 | 4$ means 3.4 kg

---

Question 2: Interpreting the diagram

The key tells us that `1 | 4` means 14 years old. This means the left column is the "tens" digit and the right column is the "ones" digit.

(a) How many people are there in the group?
Count every single leaf (number on the right side).
* Row 1: 3 leaves (4, 5, 8)
* Row 2: 5 leaves (1, 3, 6, 9, 9)
* Row 3: 3 leaves (0, 5, 7)
* Total: $3 + 5 + 3 = 11$

(b) How old is the youngest member of the group?
Look for the smallest stem and the smallest leaf attached to it.
* Smallest stem is 1. Smallest leaf is 4.
* Age: 14

(c) How old is the oldest member of the group?
Look for the largest stem and the largest leaf attached to it.
* Largest stem is 3. Largest leaf is 7.
* Age: 37

(d) How many people are under 20?
Look at the rows where the age is less than 20. This corresponds to the stem "1".
* The ages are 14, 15, and 18.
* There are 3 people.

Final Answer:
Question 1 Diagrams:
(a) Stem: 3, 4, 5 | Leaves: (5,8,9), (1,4,5,8), (0,3,5) | Key: 3|5=35
(b) Stem: 0, 1, 2, 3, 4 | Leaves: (5,9,9), (1,5,8), (4,4,8,9), (2,3,8), (0,2) | Key: 1|1=11
(c) Stem: 13, 14, 15, 16 | Leaves: (5,9), (0,0,2,4,4,5,8,9), (3,8), (0) | Key: 14|0=140
(d) Stem: 1, 2, 3, 4, 5 | Leaves: (9), (2,8), (1,4,7,9), (5,8), (1) | Key: 3|4=3.4kg

Question 2 Answers:
(a) 11 people
(b) 14 years old
(c) 37 years old
(d) 3 people