One variable that is measured by online homework systems is the amount of time a student spends on homework for each section of the text. The following is a summary of the number of minutes a student spends for each section of the text for a single semester of Prof Fake's statistics course. Q1=43 Q2-52.5 Q3=75.5 43 92 Provide an interpretation of these results. zey 152907 2 A 1747

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**Time Spent on Homework Analysis**

One variable that is measured by online homework systems is the amount of time a student spends on homework for each section of the text. The following is a summary of the number of minutes a student spends for each section of the text for a single semester of Prof Fake's statistics course.

- **Q1 (First Quartile)**: 43 minutes
- **Q2 (Second Quartile/Median)**: 52.5 minutes
- **Q3 (Third Quartile)**: 75.5 minutes

**Interpretation of Results**:

The quartiles provided give us a distribution of the time students spend on homework:

1. **Q1 = 43**: This means that 25% of the students spend 43 minutes or less on each section of the homework. This represents the lower end of the distribution.
  
2. **Q2 (Median) = 52.5**: This is the midpoint of the dataset, indicating that 50% of the students spend 52.5 minutes or less on each section of the text, while the other 50% spend more than 52.5 minutes.
  
3. **Q3 = 75.5**: This means that 75% of the students spend 75.5 minutes or less on each section of the homework. Consequently, the remaining 25% of the students spend more than 75.5 minutes.

These quartiles provide insights into the variability and distribution of time spent by students on their homework. For instance, a wider gap between Q1 and Q3 suggests a significant variation in homework completion times across the student population.
Transcribed Image Text:**Time Spent on Homework Analysis** One variable that is measured by online homework systems is the amount of time a student spends on homework for each section of the text. The following is a summary of the number of minutes a student spends for each section of the text for a single semester of Prof Fake's statistics course. - **Q1 (First Quartile)**: 43 minutes - **Q2 (Second Quartile/Median)**: 52.5 minutes - **Q3 (Third Quartile)**: 75.5 minutes **Interpretation of Results**: The quartiles provided give us a distribution of the time students spend on homework: 1. **Q1 = 43**: This means that 25% of the students spend 43 minutes or less on each section of the homework. This represents the lower end of the distribution. 2. **Q2 (Median) = 52.5**: This is the midpoint of the dataset, indicating that 50% of the students spend 52.5 minutes or less on each section of the text, while the other 50% spend more than 52.5 minutes. 3. **Q3 = 75.5**: This means that 75% of the students spend 75.5 minutes or less on each section of the homework. Consequently, the remaining 25% of the students spend more than 75.5 minutes. These quartiles provide insights into the variability and distribution of time spent by students on their homework. For instance, a wider gap between Q1 and Q3 suggests a significant variation in homework completion times across the student population.
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