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Question
- disc dogs here is a list of the breeds of dogs that won the world canine disc championships over a 45 - year period.8 whippet australian shepherd australian shepherd whippet border collie border collie whippet australian shepherd border collie mixed breed mixed breed border collie mixed breed mixed breed australian shepherd mixed breed other purebred border collie other purebred labrador retriever border collie border collie mixed breed border collie border collie mixed breed australian shepherd border collie border collie mixed breed australian shepherd border collie australian shepherd mixed breed australian shepherd mixed breed australian shepherd labrador retriever mixed breed mixed breed australian shepherd labrador retriever australian shepherd mixed breed australian shepherd australian shepherd mixed breed other purebred (a) make a frequency table and a relative frequency table to summarize the distribution of dog breed among world canine disc championship winners.
Step1: Count the frequency of each breed
Let's count how many times each breed appears in the list. For example, for Whippet, we count the number of occurrences.
Step2: Calculate relative - frequency
The relative - frequency of a breed is calculated as the frequency of that breed divided by the total number of data points. First, find the total number of data points (sum of all frequencies). Then, for each breed, divide its frequency by the total number of data points.
| Breed | Frequency | Relative Frequency |
|---|---|---|
| Mixed breed | 11 | $\frac{11}{45}\approx0.244$ |
| Other purebred | 2 | $\frac{2}{45}\approx0.044$ |
| Labrador retriever | 3 | $\frac{3}{45}\approx0.067$ |
| Border collie | 15 | $\frac{15}{45}\approx0.333$ |
| Australian shepherd | 11 | $\frac{11}{45}\approx0.244$ |
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| Breed | Frequency | Relative Frequency |
|---|---|---|
| Mixed breed | 11 | $\frac{11}{45}\approx0.244$ |
| Other purebred | 2 | $\frac{2}{45}\approx0.044$ |
| Labrador retriever | 3 | $\frac{3}{45}\approx0.067$ |
| Border collie | 15 | $\frac{15}{45}\approx0.333$ |
| Australian shepherd | 11 | $\frac{11}{45}\approx0.244$ |