https://file.aiquickdraw.com/mathbot/file/1729495142093si3ahlaf.jpg

Let's break down and solve the questions one by one based on the ice cream sales data in the image.

### 1.1 **Categorical Data Variable:**
In the ice cream sales data, the **flavors** of ice cream (Chocolate, Peppermint, Strawberry, Vanilla) represent **categorical data**. Categorical data consists of categories or labels, and in this case, each ice cream flavor is a category.

### 1.2 **Numeric Data Variable:**
The **number of cones sold** for each flavor represents **numeric data**. Numeric data consists of values that can be measured or counted, such as the number of cones sold for each ice cream flavor.

### 1.3 **Frequency Table:**
Let’s organize the sales data into a frequency table:

| Flavor     | Number of Cones Sold | Percentage of Total Sales |
|------------|----------------------|---------------------------|
| Chocolate  | 29                   | (29/85) × 100 = 34.12%    |
| Peppermint | 10                   | (10/85) × 100 = 11.76%    |
| Strawberry | 22                   | (22/85) × 100 = 25.88%    |
| Vanilla    | 24                   | (24/85) × 100 = 28.24%    |
| **Total**  | **85**                | **100%**                  |

This table shows the frequency of cones sold for each flavor and the corresponding percentage of the total sales.

### 1.4 **Pictograph Representation:**
You are asked to create a pictograph where 1 picture of a cone represents 2 actual cones sold. Here’s the equivalent number of cone pictures:

- **Chocolate**: 29 cones → \( \frac{29}{2} = 14.5 \) cone pictures (round to 15)
- **Peppermint**: 10 cones → \( \frac{10}{2} = 5 \) cone pictures
- **Strawberry**: 22 cones → \( \frac{22}{2} = 11 \) cone pictures
- **Vanilla**: 24 cones → \( \frac{24}{2} = 12 \) cone pictures

### 1.5 **Manual Calculation for Pie Chart:**
To manually determine the size of each segment in a pie chart, follow these steps:

1. Total cones sold = 85
2. Use the formula: \( \text{Angle of Segment} = \left( \frac{\text{Number of cones for flavor}}{\text{Total cones sold}} \right) \times 360^\circ \)

For each flavor:

- **Chocolate**: \( \frac{29}{85} \times 360^\circ = 122.4^\circ \)
- **Peppermint**: \( \frac{10}{85} \times 360^\circ = 42.4^\circ \)
- **Strawberry**: \( \frac{22}{85} \times 360^\circ = 93.2^\circ \)
- **Vanilla**: \( \frac{24}{85} \times 360^\circ = 101.6^\circ \)

### 1.6 **Pie Chart:**
You can now draw a pie chart using the calculated angles for each flavor:

- Chocolate: 122.4°
- Peppermint: 42.4°
- Strawberry: 93.2°
- Vanilla: 101.6°

Let me know if you want me to provide more details or help with the visualizations! 

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**Relative Questions:**
1. What other examples of categorical data could you find in a different sales scenario?
2. How would you represent numeric data if you added a time component (sales per day)?
3. What happens if you convert percentages into fractions for each flavor's sales?
4. How would increasing total sales affect the pie chart's segment sizes?
5. Can you think of another visual representation besides a pie chart for this data?

**Tip:** When organizing data, always ensure that your total counts match exactly across all representations to avoid mistakes.

In the ice cream sales data, what variable represents categorical data? What variable represents numeric data? Organize the sales data into a frequency table. Present the ice cream sales data using a pictograph. Draw a pie chart manually and represent the proportion of cones sold for each ice cream flavor.

Learn how to analyze ice cream sales data by distinguishing between categorical and numeric data. Organize the sales data into a frequency table, present it visually using a pictograph, and manually calculate the pie chart angles for each flavor. Perfect for students in Grades 5-7.

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