98, 72, 82, 47, 83, 63, 46, 35, 73, 54, 110, 83, 71, 96, 85 the standard deviation of the prices of the meal options rounded to two decimal places is 

To calculate the standard deviation of the given data set, we will follow these steps:

### 1. **Find the Mean (Average):**
   \[
   \text{Mean} = \frac{\sum x_i}{n}
   \]
   where \( x_i \) are the data points and \( n \) is the number of data points.

### 2. **Calculate the Variance:**
   \[
   \text{Variance} = \frac{\sum (x_i - \text{Mean})^2}{n}
   \]

### 3. **Find the Standard Deviation:**
   \[
   \text{Standard Deviation} = \sqrt{\text{Variance}}
   \]

Now, let's calculate it:

1. **Data set**: 98, 72, 82, 47, 83, 63, 46, 35, 73, 54, 110, 83, 71, 96, 85
2. **Number of data points (n)**: 15

### Step 1: Calculate the Mean
\[
\text{Mean} = \frac{98 + 72 + 82 + 47 + 83 + 63 + 46 + 35 + 73 + 54 + 110 + 83 + 71 + 96 + 85}{15}
\]

### Step 2: Calculate each deviation squared and then the variance

### Step 3: Find the square root of the variance to get the standard deviation

Let me calculate that for you.The standard deviation of the meal prices, rounded to two decimal places, is **20.43**.

Would you like more details on the calculation process, or do you have any other questions?

Here are 5 related questions:
1. What is the significance of the standard deviation in data analysis?
2. How does the standard deviation change if an extreme value is added to the data set?
3. What is the difference between standard deviation and variance?
4. How would the standard deviation change if all meal prices were increased by a constant amount?
5. Can you calculate the standard deviation for a different data set?

**Tip:** When interpreting standard deviation, remember that a higher value indicates greater spread or variability in the data set.

The standard deviation of the prices of the meal options rounded to two decimal places is 

Discover how to calculate the standard deviation of a set of meal prices with a detailed step-by-step solution. This problem covers essential statistical concepts, including mean, variance, and standard deviation, suitable for students in Grades 9-12.

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