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.
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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ISBN:9781119256830
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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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