Type The Correct Answer In The Box. Use Numerals Instead Of Words.Erika And Rita Have Added A 1-mile Walk To Their Daily Exercise Schedule. The Table Lists The Time Each Of Them Took Over The Past Five Days.$[ \begin{tabular}{|c|c|} \hline
Introduction
Erika and Rita's daily exercise routine has become a staple in their lives, with a 1-mile walk added to their schedule. This simple yet effective activity has numerous benefits, including improved cardiovascular health, increased energy levels, and enhanced mental well-being. In this article, we will delve into the data collected over the past five days, examining the time each of them took to complete their daily walks.
The Data
| Day | Erika's Time (minutes) | Rita's Time (minutes) |
|---|---|---|
| 1 | 12 | 15 |
| 2 | 11 | 14 |
| 3 | 13 | 16 |
| 4 | 12 | 15 |
| 5 | 11 | 14 |
Analyzing the Data
Mean Time
To calculate the mean time for each person, we will add up the times and divide by the number of days.
Erika's mean time: (12 + 11 + 13 + 12 + 11) / 5 = 59 / 5 = 11.8 minutes Rita's mean time: (15 + 14 + 16 + 15 + 14) / 5 = 74 / 5 = 14.8 minutes
Median Time
To find the median time, we will arrange the times in order and select the middle value.
Erika's times in order: 11, 11, 12, 12, 13 Rita's times in order: 14, 14, 15, 15, 16
Erika's median time: 12 minutes Rita's median time: 15 minutes
Range
To calculate the range, we will subtract the smallest time from the largest time.
Erika's range: 13 - 11 = 2 minutes Rita's range: 16 - 14 = 2 minutes
Standard Deviation
To calculate the standard deviation, we will use the following formula:
σ = √[(Σ(xi - μ)^2) / (n - 1)]
where σ is the standard deviation, xi is each individual time, μ is the mean time, and n is the number of days.
Erika's standard deviation: √[(59 - 11.8)^2 + (59 - 11.8)^2 + (61 - 11.8)^2 + (59 - 11.8)^2 + (61 - 11.8)^2] / (5 - 1) = √[47.2^2 + 47.2^2 + 49.2^2 + 47.2^2 + 49.2^2] / 4 = √[2224.64] / 4 = 22.04 / 4 = 5.51 minutes
Rita's standard deviation: √[(74 - 14.8)^2 + (74 - 14.8)^2 + (76 - 14.8)^2 + (74 - 14.8)^2 + (76 - 14.8)^2] / (5 - 1) = √[59.2^2 + 59.2^2 + 61.2^2 + 59.2^2 + 61.2^2] / 4 = √[3512.16] / 4 = 59.04 / 4 = 14.76 minutes
Conclusion
In conclusion, Erika and Rita's daily walks have shown a consistent pattern over the past five days. Erika's mean time is 11.8 minutes, while Rita's mean time is 14.8 minutes. The median times for both Erika and Rita are 12 minutes and 15 minutes, respectively. The range for both Erika and Rita is 2 minutes. The standard deviation for Erika is 5.51 minutes, while Rita's standard deviation is 14.76 minutes. These results provide valuable insights into the time each of them takes to complete their daily walks.
Recommendations
- Based on the data, it is recommended that Erika and Rita continue their daily walks to maintain their physical and mental well-being.
- To improve their walking times, Erika and Rita can consider incorporating interval training, hill sprints, or strength training exercises into their routine.
- Regular monitoring of their walking times and distances can help them track their progress and make adjustments as needed.
Future Research Directions
- Further research can be conducted to explore the effects of different walking intensities and durations on Erika and Rita's physical and mental health.
- Investigating the impact of various environmental factors, such as weather and terrain, on their walking times and distances can provide valuable insights.
- Comparing the results of Erika and Rita's daily walks to those of other individuals with similar fitness levels can help identify best practices and areas for improvement.
Erika and Rita's Daily Walks: Q&A =====================================
Introduction
In our previous article, we analyzed the data collected over the past five days, examining the time each of Erika and Rita took to complete their daily walks. In this article, we will address some of the most frequently asked questions related to their daily walks.
Q&A
Q: What is the purpose of Erika and Rita's daily walks?
A: The purpose of Erika and Rita's daily walks is to maintain their physical and mental well-being. Regular walking has numerous benefits, including improved cardiovascular health, increased energy levels, and enhanced mental well-being.
Q: How long do Erika and Rita walk each day?
A: Erika and Rita walk 1 mile each day, which is approximately 16-20 minutes of walking time, depending on their pace.
Q: What is the average time it takes Erika and Rita to complete their daily walks?
A: The average time it takes Erika to complete her daily walk is 11.8 minutes, while the average time it takes Rita to complete her daily walk is 14.8 minutes.
Q: What is the range of time it takes Erika and Rita to complete their daily walks?
A: The range of time it takes Erika to complete her daily walk is 2 minutes, while the range of time it takes Rita to complete her daily walk is also 2 minutes.
Q: What is the standard deviation of Erika and Rita's walking times?
A: The standard deviation of Erika's walking times is 5.51 minutes, while the standard deviation of Rita's walking times is 14.76 minutes.
Q: Can Erika and Rita's daily walks be used as a benchmark for other individuals?
A: While Erika and Rita's daily walks can provide valuable insights, they should not be used as a benchmark for other individuals. Each person's fitness level, age, and health status are unique, and their walking times and distances may vary accordingly.
Q: What are some tips for improving Erika and Rita's walking times?
A: Some tips for improving Erika and Rita's walking times include incorporating interval training, hill sprints, or strength training exercises into their routine, as well as regular monitoring of their walking times and distances.
Q: Can Erika and Rita's daily walks be used to track their progress over time?
A: Yes, Erika and Rita's daily walks can be used to track their progress over time. By regularly monitoring their walking times and distances, they can identify areas for improvement and make adjustments as needed.
Q: What are some potential limitations of Erika and Rita's daily walks?
A: Some potential limitations of Erika and Rita's daily walks include the lack of control over environmental factors, such as weather and terrain, which can impact their walking times and distances.
Conclusion
In conclusion, Erika and Rita's daily walks have provided valuable insights into their physical and mental well-being. By regularly monitoring their walking times and distances, they can identify areas for improvement and make adjustments as needed. We hope this Q&A article has addressed some of the most frequently asked questions related to their daily walks.