Choices Frequency Relative Frequency (%) Baseball 15 ? Football 26 ? Soccer 18 ? Volleyball 11 ? Swimming 23 ? After gathering the data and completing the table, the third most liked sport has a relative frequency of [Response]%.
To calculate the relative frequency of each sport, we need the total frequency first.
Total Frequency = Baseball + Football + Soccer + Volleyball + Swimming = 15 + 26 + 18 + 11 + 23 = 93
Now we can calculate the relative frequency for each sport:
Relative Frequency of Baseball = Baseball Frequency / Total Frequency = 15 / 93 ≈ 0.1613 = 16.13%
Relative Frequency of Football = Football Frequency / Total Frequency = 26 / 93 ≈ 0.2796 = 27.96%
Relative Frequency of Soccer = Soccer Frequency / Total Frequency = 18 / 93 ≈ 0.1935 = 19.35%
Relative Frequency of Volleyball = Volleyball Frequency / Total Frequency = 11 / 93 ≈ 0.1183 = 11.83%
Relative Frequency of Swimming = Swimming Frequency / Total Frequency = 23 / 93 ≈ 0.2473 = 24.73%
From the given data, we can see that the third most liked sport is soccer with a relative frequency of 19.35%.
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To find the third most liked sport, we need to rank the sports based on their frequencies:
1. Football - 26
2. Swimming - 23
3. Soccer - 18
4. Baseball - 15
5. Volleyball - 11
The third most liked sport is soccer with a frequency of 18.
Now we can calculate the relative frequency for each sport:
Relative Frequency of Baseball = 15 / 93 ≈ 0.1613 = 16.13%
Relative Frequency of Football = 26 / 93 ≈ 0.2796 = 27.96%
Relative Frequency of Soccer = 18 / 93 ≈ 0.1935 = 19.35%
Relative Frequency of Volleyball = 11 / 93 ≈ 0.1183 = 11.83%
Relative Frequency of Swimming = 23 / 93 ≈ 0.2473 = 24.73%
Therefore, the third most liked sport, soccer, has a relative frequency of approximately 19.35%.
To find the third most liked sport and its relative frequency, you need to analyze the data in the table.
Step 1: Read the table and identify the sport names and their respective frequencies.
In this case, the table shows the frequencies of different sports as follows:
Baseball: 15
Football: 26
Soccer: 18
Volleyball: 11
Swimming: 23
Step 2: Rearrange the sports in descending order based on their frequencies.
Sorting the sports from highest to lowest frequency:
Football: 26
Swimming: 23
Soccer: 18
Baseball: 15
Volleyball: 11
Now that the sports are sorted, we can see that the third most liked sport is soccer with a frequency of 18.
Step 3: Calculate the relative frequency.
Relative frequency is the proportion of each sport's frequency to the total frequency. To calculate the relative frequency, divide the frequency of a particular sport by the sum of all frequencies, and then multiply by 100 to convert it to a percentage.
Total Frequency = 15 + 26 + 18 + 11 + 23 = 93
Relative Frequency of Soccer = (18 / 93) × 100 ≈ 19.35%
Therefore, the third most liked sport, soccer, has a relative frequency of approximately 19.35%.