weight gain -O 2 Summary Statistics Mean Std Dev Std Err Mean N 0.85 2.0271765 0.6410495 10

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What is the value of the variance of weight gain for the off-campus students? (Round your answer to two decimal places.)

### Weight Gain Analysis: On-Campus vs. Off-Campus Students

#### Introduction
In this analysis, we examine the weight gain of students living off-campus versus those living on-campus. The data visualization and summary statistics provide insights into the differences in weight gain between these two groups.

#### Distributions Location: Off-Campus
The box plot below illustrates the distribution of weight gain for students living off-campus.

**Weight Gain Box Plot: Off-Campus**
- The horizontal axis ranges from -3 to 4 kilograms.
- The box plot shows the interquartile range (IQR) from approximately -1 to 1.5 kg. 
- The median weight gain for off-campus students is around 0.5 kg.
- Outliers or extreme values are indicated by points beyond the whiskers.

**Summary Statistics: Off-Campus**
- **Mean**: 0.85 kg
- **Standard Deviation (Std Dev)**: 2.0271765 kg
- **Standard Error of the Mean (Std Err Mean)**: 0.6410495 kg
- **Sample Size (N)**: 10

#### Distributions Location: On-Campus
The box plot below illustrates the distribution of weight gain for students living on-campus.

**Weight Gain Box Plot: On-Campus**
- The horizontal axis ranges from -4 to 10 kilograms.
- The box plot displays the interquartile range (IQR) from roughly 0 to 5 kg.
- The median weight gain for on-campus students is around 2 kg.
- Some weight gains extend to as high as 10 kg, indicating potential outliers or extreme values.

**Summary Statistics: On-Campus**
- **Mean**: 2.46 kg
- **Sample Size (N)**: 10

#### Summary
The data demonstrates differences in weight gain between students living off-campus and those living on-campus. On average, on-campus students gained more weight, with a mean of 2.46 kg compared to 0.85 kg for off-campus students. Additionally, the variability in weight gain is higher for off-campus students, as seen in the larger standard deviation.

These insights can guide further research on the factors contributing to weight gain and help in planning interventions for healthier student lifestyles.
Transcribed Image Text:### Weight Gain Analysis: On-Campus vs. Off-Campus Students #### Introduction In this analysis, we examine the weight gain of students living off-campus versus those living on-campus. The data visualization and summary statistics provide insights into the differences in weight gain between these two groups. #### Distributions Location: Off-Campus The box plot below illustrates the distribution of weight gain for students living off-campus. **Weight Gain Box Plot: Off-Campus** - The horizontal axis ranges from -3 to 4 kilograms. - The box plot shows the interquartile range (IQR) from approximately -1 to 1.5 kg. - The median weight gain for off-campus students is around 0.5 kg. - Outliers or extreme values are indicated by points beyond the whiskers. **Summary Statistics: Off-Campus** - **Mean**: 0.85 kg - **Standard Deviation (Std Dev)**: 2.0271765 kg - **Standard Error of the Mean (Std Err Mean)**: 0.6410495 kg - **Sample Size (N)**: 10 #### Distributions Location: On-Campus The box plot below illustrates the distribution of weight gain for students living on-campus. **Weight Gain Box Plot: On-Campus** - The horizontal axis ranges from -4 to 10 kilograms. - The box plot displays the interquartile range (IQR) from roughly 0 to 5 kg. - The median weight gain for on-campus students is around 2 kg. - Some weight gains extend to as high as 10 kg, indicating potential outliers or extreme values. **Summary Statistics: On-Campus** - **Mean**: 2.46 kg - **Sample Size (N)**: 10 #### Summary The data demonstrates differences in weight gain between students living off-campus and those living on-campus. On average, on-campus students gained more weight, with a mean of 2.46 kg compared to 0.85 kg for off-campus students. Additionally, the variability in weight gain is higher for off-campus students, as seen in the larger standard deviation. These insights can guide further research on the factors contributing to weight gain and help in planning interventions for healthier student lifestyles.
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