8. The frequency distribution shown in the figure lists the number of hours per day a randomly selected sample of teenagers spent watching television. Determine what percent of the teenagers spent at least 3 hours but less than 6 hours watching television. Hours per Number of Day 03x<1 20 13x<231 2Sx<3 25 3

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**Frequency Distribution Analysis of Television Viewing Hours Among Teenagers**

The table below presents a frequency distribution showcasing the number of hours per day that a randomly selected sample of teenagers spent watching television. The objective is to determine what percentage of the teenagers spent at least 3 hours but less than 6 hours watching television.

| Hours per Day | Number of Teenagers |
|---------------|---------------------|
| 0 ≤ x < 1     | 20                  |
| 1 ≤ x < 2     | 31                  |
| 2 ≤ x < 3     | 25                  |
| 3 ≤ x < 4     | 33                  |
| 4 ≤ x < 5     | 15                  |
| 5 ≤ x < 6     | 12                  |
| 6 ≤ x < 7     | 17                  |

**Calculation:**
To find the percentage of teenagers who watched at least 3 hours but less than 6 hours of television, we consider the intervals 3 ≤ x < 4, 4 ≤ x < 5, and 5 ≤ x < 6. Adding the corresponding frequencies:

- For 3 ≤ x < 4: 33 teenagers
- For 4 ≤ x < 5: 15 teenagers
- For 5 ≤ x < 6: 12 teenagers

Total = 33 + 15 + 12 = 60 teenagers

Next, calculate the total number of teenagers surveyed:

Total number of teenagers = 20 + 31 + 25 + 33 + 15 + 12 + 17 = 153

Finally, calculate the percentage:

Percentage = (60 / 153) × 100 ≈ 39.22%

Approximately 39.22% of the teenagers spent between 3 and 6 hours watching television daily.
Transcribed Image Text:**Frequency Distribution Analysis of Television Viewing Hours Among Teenagers** The table below presents a frequency distribution showcasing the number of hours per day that a randomly selected sample of teenagers spent watching television. The objective is to determine what percentage of the teenagers spent at least 3 hours but less than 6 hours watching television. | Hours per Day | Number of Teenagers | |---------------|---------------------| | 0 ≤ x < 1 | 20 | | 1 ≤ x < 2 | 31 | | 2 ≤ x < 3 | 25 | | 3 ≤ x < 4 | 33 | | 4 ≤ x < 5 | 15 | | 5 ≤ x < 6 | 12 | | 6 ≤ x < 7 | 17 | **Calculation:** To find the percentage of teenagers who watched at least 3 hours but less than 6 hours of television, we consider the intervals 3 ≤ x < 4, 4 ≤ x < 5, and 5 ≤ x < 6. Adding the corresponding frequencies: - For 3 ≤ x < 4: 33 teenagers - For 4 ≤ x < 5: 15 teenagers - For 5 ≤ x < 6: 12 teenagers Total = 33 + 15 + 12 = 60 teenagers Next, calculate the total number of teenagers surveyed: Total number of teenagers = 20 + 31 + 25 + 33 + 15 + 12 + 17 = 153 Finally, calculate the percentage: Percentage = (60 / 153) × 100 ≈ 39.22% Approximately 39.22% of the teenagers spent between 3 and 6 hours watching television daily.
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