Educational worksheet for students to practice creating stem-and-leaf plots and analyzing data sets.

Let's solve both problems step by step.

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Problem 1: Test Scores from Friday’s Spelling Test

Given scores:
65, 60, 75, 85, 70, 75, 85, 95, 100, 85, 90

#### Step 1: Organize the data in ascending order:
60, 65, 70, 75, 75, 85, 85, 85, 90, 95, 100

#### Step 2: Create a Stem-and-Leaf Plot

- Stem = tens digit
- Leaf = ones digit

| Stem | Leaf |
|------|------|
| 6 | 0, 5 |
| 7 | 0, 5, 5 |
| 8 | 5, 5, 5 |
| 9 | 0, 5 |
| 10 | 0 |

> Note: 100 is written as stem = 10, leaf = 0

#### Step 3: Calculate the Mean

Sum of scores:
60 + 65 + 70 + 75 + 75 + 85 + 85 + 85 + 90 + 95 + 100 =
= (60+65) = 125
+70 = 195
+75 = 270
+75 = 345
+85 = 430
+85 = 515
+85 = 600
+90 = 690
+95 = 785
+100 = 885

Number of scores = 11

Mean = 885 ÷ 11 ≈ 80.45

#### Step 4: Find the Median

Ordered list:
60, 65, 70, 75, 75, 85, 85, 85, 90, 95, 100

Middle value (11 numbers → 6th number):
Median = 85

#### Step 5: Find the Mode

Most frequent number:
85 appears three times → Mode = 85

#### Step 6: Find the Range

Range = Highest – Lowest = 100 – 60 = 40

---

✔ Summary for Problem 1:

- Stem-and-Leaf Plot:
```
Stem | Leaf
6 | 0 5
7 | 0 5 5
8 | 5 5 5
9 | 0 5
10 | 0
```

- Mean: 80.45
- Median: 85
- Mode: 85
- Range: 40

---

Problem 2: Number of Cakes Made at a Local Bakery

Given data:
10, 15, 24, 13, 25, 15, 8, 11, 18, 21, 7, 15

#### Step 1: Order the data:
7, 8, 10, 11, 13, 15, 15, 15, 18, 21, 24, 25

#### Step 2: Create Stem-and-Leaf Plot

| Stem | Leaf |
|------|------|
| 0 | 7, 8 |
| 1 | 0, 1, 3, 5, 5, 5, 8 |
| 2 | 1, 4, 5 |

> Note: Numbers less than 10 have stem = 0

#### Step 3: Mean

Sum = 7 + 8 + 10 + 11 + 13 + 15 + 15 + 15 + 18 + 21 + 24 + 25
= (7+8)=15
+10=25
+11=36
+13=49
+15=64
+15=79
+15=94
+18=112
+21=133
+24=157
+25= 182

Number of values = 12

Mean = 182 ÷ 12 ≈ 15.17

#### Step 4: Median

Ordered list has 12 values → median is average of 6th and 7th values:

6th = 15
7th = 15
Median = (15 + 15)/2 = 15

#### Step 5: Mode

15 appears three times → Mode = 15

#### Step 6: Range

Range = 25 – 7 = 18

---

✔ Summary for Problem 2:

- Stem-and-Leaf Plot:
```
Stem | Leaf
0 | 7 8
1 | 0 1 3 5 5 5 8
2 | 1 4 5
```

- Mean: 15.17
- Median: 15
- Mode: 15
- Range: 18

---

✔ Final Answers:

#### 1.) Test Scores
- Stem-and-Leaf Plot: As shown above
- Mean: 80.45
- Median: 85
- Mode: 85
- Range: 40

#### 2.) Number of Cakes
- Stem-and-Leaf Plot: As shown above
- Mean: 15.17
- Median: 15
- Mode: 15
- Range: 18

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