hip-hop pop totals
10th grade 112 53 165
11th grade 98 147 245
total 210 200 410
Examine the data from a survey of 10th and 11th graders about which music genre they prefer.Using relative frequencies, which of the following is true?
Based on the provided data, we can calculate the relative frequencies for each category (hip-hop, pop, and totals):
- 10th grade hip-hop: 112/410 ≈ 0.273
- 10th grade pop: 53/410 ≈ 0.129
- 11th grade hip-hop: 98/410 ≈ 0.239
- 11th grade pop: 147/410 ≈ 0.359
Now we can compare the relative frequencies to determine which of the following is true:
1. 11th graders prefer hip-hop: 0.239
2. 10th graders prefer pop: 0.129
3. Pop is preferred by more 11th graders than 10th graders: 0.359
Based on the calculated relative frequencies, statement 3 is true.