Consider the following frequency table representing the distribution of the cost to a pizza parlor of additional toppings on a pizza (in dollars) 8. Cost of a Topping (in Dollars) Frequency 11 Class 0.34-0.42 0.43-0.51 12 0.52–0.60 14 0.61-0.69 10 0.70-0.78 10 a) Determine the relative frequency for the fifth class as a simplified fraction. b) Determine the relative frequency for the fourth class as a simplified fraction.

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**Question 8: Analyzing the Frequency Distribution of Pizza Topping Costs**

Consider the following frequency table, which represents the distribution of costs for additional pizza toppings at a parlor (measured in dollars):

| Cost of a Topping (in Dollars) | Frequency |
|--------------------------------|-----------|
| 0.34 – 0.42                    | 11        |
| 0.43 – 0.51                    | 12        |
| 0.52 – 0.60                    | 14        |
| 0.61 – 0.69                    | 10        |
| 0.70 – 0.78                    | 10        |

**Tasks:**

a) Determine the relative frequency for the fifth class as a simplified fraction.

b) Determine the relative frequency for the fourth class as a simplified fraction.

**Solution Explanation:**

To calculate relative frequency, we take the frequency of the class in question and divide it by the total number of observations. Calculate the total frequency by adding all class frequencies:

Total Frequency = 11 + 12 + 14 + 10 + 10 = 57

- **For the fifth class (0.70 – 0.78):**
  - Frequency = 10
  - Relative Frequency = \( \frac{10}{57} \)

- **For the fourth class (0.61 – 0.69):**
  - Frequency = 10
  - Relative Frequency = \( \frac{10}{57} \)

Simplify the fractions if necessary to achieve the final simplified form.
Transcribed Image Text:**Question 8: Analyzing the Frequency Distribution of Pizza Topping Costs** Consider the following frequency table, which represents the distribution of costs for additional pizza toppings at a parlor (measured in dollars): | Cost of a Topping (in Dollars) | Frequency | |--------------------------------|-----------| | 0.34 – 0.42 | 11 | | 0.43 – 0.51 | 12 | | 0.52 – 0.60 | 14 | | 0.61 – 0.69 | 10 | | 0.70 – 0.78 | 10 | **Tasks:** a) Determine the relative frequency for the fifth class as a simplified fraction. b) Determine the relative frequency for the fourth class as a simplified fraction. **Solution Explanation:** To calculate relative frequency, we take the frequency of the class in question and divide it by the total number of observations. Calculate the total frequency by adding all class frequencies: Total Frequency = 11 + 12 + 14 + 10 + 10 = 57 - **For the fifth class (0.70 – 0.78):** - Frequency = 10 - Relative Frequency = \( \frac{10}{57} \) - **For the fourth class (0.61 – 0.69):** - Frequency = 10 - Relative Frequency = \( \frac{10}{57} \) Simplify the fractions if necessary to achieve the final simplified form.
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