To determine which circle graph (pie chart) correctly represents the data, we need to calculate the percentage that each item contributes to the total purchases. Here is a detailed, step-by-step solution to find these percentages:
1. Identify the items and their number of purchases:
- Candy: 200 purchases
- Snacks: 100 purchases
- Automotive Supplies: 75 purchases
- Beverages: 125 purchases
2. Calculate the total number of purchases:
- Total Purchases = Candy + Snacks + Automotive Supplies + Beverages
- Total Purchases = 200 + 100 + 75 + 125
- Total Purchases = 500
3. Calculate the percentage of purchases for each item:
- Percentage for Candy = (Number of Candy Purchases / Total Purchases) × 100
- Percentage for Candy = (200 / 500) × 100 = 40.0%
- Percentage for Snacks = (Number of Snacks Purchases / Total Purchases) × 100
- Percentage for Snacks = (100 / 500) × 100 = 20.0%
- Percentage for Automotive Supplies = (Number of Automotive Supplies Purchases / Total Purchases) × 100
- Percentage for Automotive Supplies = (75 / 500) × 100 = 15.0%
- Percentage for Beverages = (Number of Beverages Purchases / Total Purchases) × 100
- Percentage for Beverages = (125 / 500) × 100 = 25.0%
4. Summarize the percentages:
- Candy: 40.0%
- Snacks: 20.0%
- Automotive Supplies: 15.0%
- Beverages: 25.0%
The circle graph (pie chart) that correctly represents the data should have sectors with the following proportions:
- Candy occupies 40.0% of the circle.
- Snacks occupy 20.0% of the circle.
- Automotive Supplies occupy 15.0% of the circle.
- Beverages occupy 25.0% of the circle.
To match these percentages with a circle graph visually, look for a pie chart where:
- The largest sector (40%) represents Candy.
- The second largest sector (25%) represents Beverages.
- The third largest sector (20%) represents Snacks.
- The smallest sector (15%) represents Automotive Supplies.
