Creating Box Plots worksheet with three data sets and number lines for practice.

Let's solve each of the three box plot problems step by step. We'll follow the instructions:

Step 1: Find 5-number summary (minimum, Q1, median, Q3, maximum).
Step 2: Draw a number line labeled with an appropriate scale.
Step 3: Draw a box plot above the number line.

We’ll compute the 5-number summary for each data set.

---

Problem (i): 11, 7, 18, 14, 19, 21, 12, 5, 2

#### Step 1: Order the data
First, sort the numbers in ascending order:
2, 5, 7, 11, 12, 14, 18, 19, 21

Now find the 5-number summary:

- Min = smallest value = 2
- Max = largest value = 21

There are 9 numbers (odd), so:
- Median = middle number = 5th number = 12

Now find Q1 (first quartile) and Q3 (third quartile):

- Q1: Median of the lower half (excluding median if odd count)
- Lower half: 2, 5, 7, 11 → 4 numbers
- Median of these = average of 2nd and 3rd: (5 + 7)/2 = 6
- Q3: Median of the upper half: 14, 18, 19, 21 → (18 + 19)/2 = 18.5

So:
- Min = 2
- Q1 = 6
- Median = 12
- Q3 = 18.5
- Max = 21

✔ Fill in the blanks:
```
Min = 2
Q1 = 6
Median = 12
Q3 = 18.5
Max = 21
```

---

Problem (ii): 10, 5, 20, 12, 4, 25, 29, 25, 30

#### Step 1: Order the data
Sort: 4, 5, 10, 12, 20, 25, 25, 29, 30

- Min = 4
- Max = 30

Number of values: 9 → odd → median is 5th value = 20

Now find Q1 and Q3:

- Lower half: 4, 5, 10, 12 → median = (5 + 10)/2 = 7.5
- Upper half: 25, 25, 29, 30 → median = (25 + 29)/2 = 27

So:
- Min = 4
- Q1 = 7.5
- Median = 20
- Q3 = 27
- Max = 30

✔ Fill in:
```
Min = 4
Q1 = 7.5
Median = 20
Q3 = 27
Max = 30
```

---

Problem (iii): 76, 71, 73, 66, 75, 72, 62, 69, 77

#### Step 1: Order the data
Sort: 62, 66, 69, 71, 72, 73, 75, 76, 77

- Min = 62
- Max = 77

Number of values: 9 → odd → median = 5th value = 72

Now:
- Lower half: 62, 66, 69, 71 → median = (66 + 69)/2 = 67.5
- Upper half: 73, 75, 76, 77 → median = (75 + 76)/2 = 75.5

So:
- Min = 62
- Q1 = 67.5
- Median = 72
- Q3 = 75.5
- Max = 77

✔ Fill in:
```
Min = 62
Q1 = 67.5
Median = 72
Q3 = 75.5
Max = 77
```

---

Final Answers:

#### (i)
```
Min = 2
Q1 = 6
Median = 12
Q3 = 18.5
Max = 21
```

#### (ii)
```
Min = 4
Q1 = 7.5
Median = 20
Q3 = 27
Max = 30
```

#### (iii)
```
Min = 62
Q1 = 67.5
Median = 72
Q3 = 75.5
Max = 77
```

---

How to Draw the Box Plot (Step 2 & 3)

For each problem:

1. Draw a number line that spans from min to max (e.g., for (i): 0 to 25; for (ii): 0 to 35; for (iii): 60 to 80).
2. Mark the five values: Min, Q1, Median, Q3, Max.
3. Draw a box from Q1 to Q3.
4. Draw a line inside the box at the median.
5. Draw whiskers from Q1 to Min and from Q3 to Max.

> Note: Since this is a worksheet, you would draw these on the provided lines. The key is correctly identifying the five-number summary.

Let me know if you'd like a visual sketch or further explanation!