Worksheet for comparing data using box plots with age data from two schools.

Let’s solve this step by step.

We are given two sets of data — ages of 11 students from two schools:

MAS Integrated School (blue):
16, 13, 15, 10, 11, 14, 12, 16, 13, 17, 10

Carib Christian School (purple):
11, 20, 19, 11, 10, 14, 16, 16, 15, 14, 18

---

Step 1: Sort each set from least to greatest

#### MAS Integrated School (sorted):
Original: 16, 13, 15, 10, 11, 14, 12, 16, 13, 17, 10
Sorted: 10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 17

→ There are 11 numbers. The median is the 6th number (since (11+1)/2 = 6th position).

Positions:
1: 10
2: 10
3: 11
4: 12
5: 13
6: 13 ← Median (Q2)
7: 14
8: 15
9: 16
10: 16
11: 17

Now find quartiles:

- Q1 (first quartile) = median of first half (positions 1–5):
First half: 10, 10, 11, 12, 13 → middle is 3rd → 11

- Q3 (third quartile) = median of second half (positions 7–11):
Second half: 14, 15, 16, 16, 17 → middle is 3rd → 16

So for MAS:

- Minimum: 10
- Q1: 11
- Q2 (Median): 13
- Q3: 16
- Maximum: 17

✔ Check: All values match sorted list. Good.

---

#### Carib Christian School (sorted):
Original: 11, 20, 19, 11, 10, 14, 16, 16, 15, 14, 18
Sorted: 10, 11, 11, 14, 14, 15, 16, 16, 18, 19, 20

Again, 11 numbers → median is 6th value.

Positions:
1: 10
2: 11
3: 11
4: 14
5: 14
6: 15 ← Median (Q2)
7: 16
8: 16
9: 18
10: 19
11: 20

Quartiles:

- Q1 = median of first half (positions 1–5): 10, 11, 11, 14, 14 → middle is 3rd → 11

- Q3 = median of second half (positions 7–11): 16, 16, 18, 19, 20 → middle is 3rd → 18

So for Carib:

- Minimum: 10
- Q1: 11
- Q2 (Median): 15
- Q3: 18
- Maximum: 20

✔ Check: All values match sorted list. Good.

---

Final Answer:

MAS Integrated School (Blue Box):

Sorted Data:
10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 17

Table:

| Minimum | 10 |
|-------------|----|
| Quartile 1 | 11 |
| Quartile 2 (Median) | 13 |
| Quartile 3 | 16 |
| Maximum | 17 |

---

Carib Christian School (Purple Box):

Sorted Data:
10, 11, 11, 14, 14, 15, 16, 16, 18, 19, 20

Table:

| Minimum | 10 |
|-------------|----|
| Quartile 1 | 11 |
| Quartile 2 (Median) | 15 |
| Quartile 3 | 18 |
| Maximum | 20 |

---

Final Answer:

MAS Integrated School Sorted: 10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 17
MAS Table: Min=10, Q1=11, Med=13, Q3=16, Max=17

Carib Christian School Sorted: 10, 11, 11, 14, 14, 15, 16, 16, 18, 19, 20
Carib Table: Min=10, Q1=11, Med=15, Q3=18, Max=20