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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 & 17 & 12 & 27 & 44 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
Sure! Let's solve this step-by-step.

### Step 1: Collect the Data

We have the number of customers who prefer each topping:

- Sprinkles: 17
- Nuts: 12
- Hot Fudge: 27
- Chocolate Chips: 44

### Step 2: Calculate the Total Number of Customers

To find the total number of customers surveyed, we sum the number of customers for each topping:
[tex]\[ \text{Total Customers} = 17 + 12 + 27 + 44 = 100 \][/tex]

### Step 3: Calculate the Proportion of Customers Preferring Each Topping

Next, we calculate the proportion of customers who prefer each topping by dividing the number of customers for each topping by the total number of customers:

1. Proportion of customers preferring Sprinkles:
[tex]\[ \frac{\text{Number of customers preferring Sprinkles}}{\text{Total number of customers}} = \frac{17}{100} = 0.17 \][/tex]

2. Proportion of customers preferring Nuts:
[tex]\[ \frac{\text{Number of customers preferring Nuts}}{\text{Total number of customers}} = \frac{12}{100} = 0.12 \][/tex]

3. Proportion of customers preferring Hot Fudge:
[tex]\[ \frac{\text{Number of customers preferring Hot Fudge}}{\text{Total number of customers}} = \frac{27}{100} = 0.27 \][/tex]

4. Proportion of customers preferring Chocolate Chips:
[tex]\[ \frac{\text{Number of customers preferring Chocolate Chips}}{\text{Total number of customers}} = \frac{44}{100} = 0.44 \][/tex]

### Step 4: Summarize the Results

Here are the summarized results:

- Number of customers preferring Sprinkles: 17
- Number of customers preferring Nuts: 12
- Number of customers preferring Hot Fudge: 27
- Number of customers preferring Chocolate Chips: 44
- Total number of customers: 100

Proportions:
- Proportion of customers preferring Sprinkles: 0.17
- Proportion of customers preferring Nuts: 0.12
- Proportion of customers preferring Hot Fudge: 0.27
- Proportion of customers preferring Chocolate Chips: 0.44

So, the favorite toppings in terms of the proportions are as follows:
- Sprinkles: 17%
- Nuts: 12%
- Hot Fudge: 27%
- Chocolate Chips: 44%

These results provide a clear picture of the favorite toppings among the surveyed customers at the ice cream shop. Chocolate Chips is the most popular topping, followed by Hot Fudge, Sprinkles, and Nuts.
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