https://r2.erweima.ai/mathbot/image/1723721440716xnj6u41i.jpg

To calculate the standard deviation of the meal prices provided, we'll follow these steps:

### Step 1: List the prices
The prices are:
\[ 98, 72, 82, 47, 83, 63, 46, 35, 73, 54, 110, 83, 71, 96, 85 \]

### Step 2: Calculate the mean (average) price
\[ \text{Mean} (\mu) = \frac{\sum \text{prices}}{\text{number of prices}} \]

### Step 3: Calculate the variance
\[ \text{Variance} (\sigma^2) = \frac{\sum (x_i - \mu)^2}{n} \]
where \( x_i \) is each price, \( \mu \) is the mean, and \( n \) is the number of prices.

### Step 4: Calculate the standard deviation
\[ \text{Standard Deviation} (\sigma) = \sqrt{\text{Variance}} \]

Let's calculate it.The standard deviation of the meal prices, rounded to two decimal places, is **R20.43**.

Would you like further details or have any other questions?

---

Here are 8 related questions to consider:
1. How does standard deviation help in understanding data dispersion?
2. What is the difference between population and sample standard deviation?
3. Can you calculate the variance of the meal prices?
4. What is the impact of outliers on the standard deviation?
5. How do you calculate the mean price of the meal options?
6. What does a higher standard deviation indicate about the meal prices?
7. How can standard deviation be used to compare two different data sets?
8. What is the range of this data set?

**Tip:** When calculating standard deviation, remember to distinguish between sample and population standard deviation, as they use slightly different formulas.

Learn how to calculate the standard deviation of meal prices with a step-by-step guide. This problem covers key statistical concepts, including mean, variance, and standard deviation. Suitable for advanced high school students and beyond.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation