Let's break down the data and steps needed to determine which graph accurately represents the given information.
### Data Overview
From the sample of 100 customers at the ice cream shop, the preferences for toppings are as follows:
- Sprinkles: 12 customers
- Nuts: 17 customers
- Hot Fudge: 44 customers
- Chocolate Chips: 27 customers
### Step-by-Step Analysis
1. Identify the Toppings and Frequencies:
- We have four toppings: Sprinkles, Nuts, Hot Fudge, and Chocolate Chips.
- The corresponding number of customers who preferred each topping are 12, 17, 44, and 27 respectively.
2. Data Summary:
- Sprinkles: 12 customers
- Nuts: 17 customers
- Hot Fudge: 44 customers
- Chocolate Chips: 27 customers
3. Selecting the Appropriate Graph:
- Bar Graph: Typically used to represent categorical data with rectangular bars showing the frequencies of each category.
- Pie Chart: It can also display the same data by showing the proportions of each category within the whole group.
### Detailed Steps on What Graph Should Show
#### If Bar Graph is Used:
- The x-axis should represent the different toppings (Sprinkles, Nuts, Hot Fudge, Chocolate Chips).
- The y-axis should represent the number of customers.
- There should be four bars, each labeled according to the topping it represents.
- The heights of the bars should correspond to the number of customers:
- Sprinkles: A bar reaching up to 12
- Nuts: A bar reaching up to 17
- Hot Fudge: A bar reaching up to 44
- Chocolate Chips: A bar reaching up to 27
#### If Pie Chart is Used:
- The pie should be divided into four segments where each segment represents a different topping.
- The size of each segment should correspond to the number of customers:
- Sprinkles: 12% of the pie
- Nuts: 17% of the pie
- Hot Fudge: 44% of the pie
- Chocolate Chips: 27% of the pie
### Conclusion
To correctly display the given data:
- If a bar graph is chosen, ensure that each bar's height matches the customer count for each topping.
- If a pie chart is chosen, ensure that each segment is proportional to the number of customers for each topping.
