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A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers:

\begin{tabular}{|c|c|c|c|c|}
\hline
Topping & Sprinkles & Nuts & Hot Fudge & Chocolate Chips \\
\hline
Number of Customers & 12 & 17 & 44 & 27 \\
\hline
\end{tabular}

Which of the following graphs correctly displays the data?



Answer :

GinnyAnswer
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.

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