This worksheet guides students through completing frequency tables from tally marks and drawing the corresponding bar charts for various datasets.

Let's solve this step-by-step. The task is to complete the frequency tables by counting the tally marks and then draw bar charts for each data set.

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🔹 Step 1: Understand Tally Marks

Each "I" represents one count.
Every group of five tally marks is written as four vertical lines and one diagonal line across them (like `||||`).

So:
- `|||` = 3
- `||||` = 4
- `||||` with a diagonal slash = 5
- Two groups like `|||| ||||` = 10

We’ll convert each tally into a frequency number.

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## ✔ 1. Eye Colour in Class 7G

| Colour | Tally | Frequency |
|---------|-------------|-----------|
| Brown | `|||| ||||` | 9 |
| Blue | `|||| I` | 6 |
| Green | `||||` | 4 |
| Grey | `|||` | 3 |
| Other | `||` | 2 |

> Explanation:
> - Brown: Two groups of five → 5 + 5 = 10? Wait — actually, it’s shown as `|||| ||||`, which is two sets of 5 → 10
> But wait! Let's look carefully:

Actually, let's re-count:

- Brown: `|||| ||||` → that's two groups of 5 = 10
- Blue: `|||| I` → 5 + 1 = 6
- Green: `||||` → 4
- Grey: `|||` → 3
- Other: `||` → 2

✔ So corrected frequencies:
| Colour | Frequency |
|---------|-----------|
| Brown | 10 |
| Blue | 6 |
| Green | 4 |
| Grey | 3 |
| Other | 2 |

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## ✔ 2. Score on a Dice

| Score | Tally | Frequency |
|-------|---------------------------|-----------|
| 1 | `|||| |||| |||` | 13 |
| 2 | `|||| |||| |||` | 13 |
| 3 | `|||| |||| |||| |||` | 18 |
| 4 | `|||| |||| I` | 11 |
| 5 | `|||| ||` | 7 |
| 6 | `|||| |||| ||` | 12 |

> Counting:
> - 1: 5 + 5 + 3 = 13
> - 2: 5 + 5 + 3 = 13
> - 3: 5 + 5 + 5 + 3 = 18
> - 4: 5 + 5 + 1 = 11
> - 5: 5 + 2 = 7
> - 6: 5 + 5 + 2 = 12

✔ Frequencies:
| Score | Frequency |
|-------|-----------|
| 1 | 13 |
| 2 | 13 |
| 3 | 18 |
| 4 | 11 |
| 5 | 7 |
| 6 | 12 |

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## ✔ 3. Points Scored by Basketball Team

| Points | Tally | Frequency |
|-----------|--------------------------------|-----------|
| 0–19 | `|||| |||` | 8 |
| 20–39 | `|||| |||| |||| |||` | 23 |
| 40–59 | `|||| |||| |||| |||| ||||` | 25 |
| 60–89 | `|||| I` | 6 |

> Counting:
> - 0–19: 5 + 3 = 8
> - 20–39: 5 + 5 + 5 + 3 = 18? Wait — let's see: `|||| |||| |||| |||` → four groups: 5+5+5+3 = 18
> Wait — actually, there are four groups of five? No:
>
> It says: `|||| |||| |||| |||`
> That’s three full groups of 5 and one group of 3 → 5×3 = 15 + 3 = 18

Wait — but it shows: `|||| |||| |||| |||` → that’s 4 groups: first three are full (5), last is 3 → 5+5+5+3 = 18

But wait — no, let's count again:

- First `||||` = 5
- Second `||||` = 5
- Third `||||` = 5
- Fourth `|||` = 3

→ Total = 5+5+5+3 = 18

But earlier I said 23 — that was wrong.

Wait — actually, it’s written as: `|||| |||| |||| |||` — so four groups: 5+5+5+3 = 18

Now check the next row:

- 40–59: `|||| |||| |||| |||| ||||` → five groups of 5 → 5×5 = 25
- 60–89: `|||| I` → 5 + 1 = 6

So corrected:

| Points | Frequency |
|-----------|-----------|
| 0–19 | 8 |
| 20–39 | 18 |
| 40–59 | 25 |
| 60–89 | 6 |

✔ Yes.

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## ✔ 4. Number of Ripe Apples per Apple Tree

| N° apples | Tally | Frequency |
|-----------|------------------------|-----------|
| 1–10 | `||` | 2 |
| 11–20 | `|||| ||||` | 9 |
| 21–30 | `|||| |||| ||||` | 15 |
| 31–40 | `|||| |||| I` | 11 |
| 41–50 | `|||` | 3 |

> Counting:
> - 1–10: 2
> - 11–20: 5 + 4 = 9
> - 21–30: 5 + 5 + 5 = 15
> - 31–40: 5 + 5 + 1 = 11
> - 41–50: 3

✔ Final table:

| N° apples | Frequency |
|-----------|-----------|
| 1–10 | 2 |
| 11–20 | 9 |
| 21–30 | 15 |
| 31–40 | 11 |
| 41–50 | 3 |

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## 📊 Now Draw Bar Charts

You will now draw bar charts using these completed frequency tables.

🔸 General Instructions for Drawing Bar Charts:

1. Label axes:
- X-axis: Categories (e.g., Eye colour, Dice score, etc.)
- Y-axis: Frequency (number of times)

2. Scale the Y-axis appropriately:
- For eye colour: max is 10 → scale up to 10 or 12
- Dice scores: max is 18 → scale up to 20
- Basketball: max is 25 → scale up to 30
- Apples: max is 15 → scale up to 20

3. Bars:
- Each bar width should be equal
- Bars should not touch (unless grouped data, but here they’re discrete)
- Height corresponds to frequency

4. Title and labels:
- Title: e.g., "Eye Colour in Class 7G"
- Label x-axis: "Eye Colour"
- Label y-axis: "Frequency"

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📈 Example: How to Draw One (Eye Colour)

#### Steps:
1. Draw x-axis with categories: Brown, Blue, Green, Grey, Other
2. Y-axis from 0 to 10 (or 12), mark intervals of 2
3. Draw bars:
- Brown: height 10
- Blue: height 6
- Green: height 4
- Grey: height 3
- Other: height 2
4. Title: “Eye Colour in Class 7G”
5. Label both axes

Repeat similarly for others.

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## ✔ Final Answer Summary

1. Eye Colour in Class 7G

| Colour | Frequency |
|---------|-----------|
| Brown | 10 |
| Blue | 6 |
| Green | 4 |
| Grey | 3 |
| Other | 2 |

2. Score on a Dice

| Score | Frequency |
|-------|-----------|
| 1 | 13 |
| 2 | 13 |
| 3 | 18 |
| 4 | 11 |
| 5 | 7 |
| 6 | 12 |

3. Points Scored by Basketball Team

| Points | Frequency |
|-----------|-----------|
| 0–19 | 8 |
| 20–39 | 18 |
| 40–59 | 25 |
| 60–89 | 6 |

4. Number of Ripe Apples per Apple Tree

| N° apples | Frequency |
|-----------|-----------|
| 1–10 | 2 |
| 11–20 | 9 |
| 21–30 | 15 |
| 31–40 | 11 |
| 41–50 | 3 |

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## 🖼️ Bar Chart Instructions (for you to draw):

For each table:
- Use the grid provided
- Plot bars with correct heights
- Label everything clearly

Since I can't draw images here, you can now use the frequency numbers above to accurately draw the bar charts on the grids.

Let me know if you want help sketching one specifically!