QUESTION IMAGE
Question
grade 7 data literacy mid–chapter quiz total:
- pets co. had a huge sale in their store for the weekend with everything being on sale! the number of people who purchased an item were recorded in the table below.
a) fill in the relative frequency column: pets co. sales
| category | frequency | relative frequency (%) |
|---|---|---|
| cats | 80 | |
| dogs | 95 | |
| other | 20 |
b) what two categories were the most popular over the weekend? explain.
Part (a)
Step 1: Calculate Total Frequency
First, find the total frequency by adding all the frequencies: \( 5 + 80 + 95 + 20 = 200 \).
Step 2: Calculate Relative Frequency for Birds
Relative Frequency (\%) for Birds: \( \frac{5}{200} \times 100 = 2.5\% \).
Step 3: Calculate Relative Frequency for Cats
Relative Frequency (\%) for Cats: \( \frac{80}{200} \times 100 = 40\% \).
Step 4: Calculate Relative Frequency for Dogs
Relative Frequency (\%) for Dogs: \( \frac{95}{200} \times 100 = 47.5\% \).
Step 5: Calculate Relative Frequency for Other
Relative Frequency (\%) for Other: \( \frac{20}{200} \times 100 = 10\% \).
To determine the most popular categories, we compare the frequencies (or relative frequencies). Dogs have a frequency of 95, and Cats have 80, which are the two highest frequencies among the categories.
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(for part a table):
| Category | Frequency | Relative Frequency (%) |
|---|---|---|
| Cats | 80 | 40 |
| Dogs | 95 | 47.5 |
| Other | 20 | 10 |