Identifying Teams that Completed the Game in Less than 20 Minutes

Oct 13, 2025 by wbrum.org 20 views

Introduction

Isaac measured the time it took for some teams to complete an escape room game. He recorded their times in the table below. In this analysis, we will examine the data to determine how many of the teams took less than 20 minutes to complete the game.

The Data

Time, $t$ (minutes)	Discussion category
15
18
20
22
25
30
35
40
45
50
55
60

Understanding the Data

The data provided by Isaac represents the completion times of various teams in an escape room game. The times are recorded in minutes, and we are interested in determining how many teams completed the game in less than 20 minutes.

Identifying Teams that Completed the Game in Less than 20 Minutes

To answer this question, we need to examine the data and identify the teams that completed the game in less than 20 minutes. We can do this by looking at the time values in the table and selecting the teams that have a time value less than 20.

Calculating the Number of Teams that Completed the Game in Less than 20 Minutes

Upon examining the data, we can see that the following teams completed the game in less than 20 minutes:

Team 1: 15 minutes
Team 2: 18 minutes

These two teams completed the game in less than 20 minutes. Therefore, the number of teams that completed the game in less than 20 minutes is 2.

Conclusion

In this analysis, we examined the data provided by Isaac to determine how many teams completed the escape room game in less than 20 minutes. We identified the teams that completed the game in less than 20 minutes and calculated the number of teams that met this criterion. The results of this analysis provide valuable insights into the completion times of the teams and can be used to inform future decisions related to the escape room game.

Recommendations

Based on the results of this analysis, we recommend the following:

Teams that completed the game in less than 20 minutes should be recognized and rewarded for their achievement.
The escape room game should be modified to make it more challenging and require more time to complete.
The data should be collected and analyzed on a regular basis to track the completion times of the teams and identify areas for improvement.

Future Research Directions

This analysis provides a starting point for future research on the completion times of teams in escape room games. Some potential research directions include:

Analyzing the relationship between team size and completion time.
Examining the impact of team dynamics on completion time.
Investigating the effect of different escape room game designs on completion time.

Introduction

In our previous article, we analyzed the data provided by Isaac to determine how many teams completed the escape room game in less than 20 minutes. We identified the teams that completed the game in less than 20 minutes and calculated the number of teams that met this criterion. In this article, we will answer some frequently asked questions related to the analysis and provide additional insights into the completion times of the teams.

Q&A

Q: What is the average completion time of the teams that completed the game in less than 20 minutes?

A: To calculate the average completion time, we need to add up the completion times of the two teams that completed the game in less than 20 minutes and divide by 2. The completion times of the two teams are 15 minutes and 18 minutes. Therefore, the average completion time is (15 + 18) / 2 = 16.5 minutes.

Q: What is the median completion time of the teams that completed the game in less than 20 minutes?

A: To calculate the median completion time, we need to arrange the completion times of the two teams in order and select the middle value. Since there are only two teams, the median completion time is the average of the two completion times, which is 16.5 minutes.

Q: What is the mode completion time of the teams that completed the game in less than 20 minutes?

A: To calculate the mode completion time, we need to identify the completion time that appears most frequently. In this case, there is no completion time that appears more than once, so there is no mode completion time.

Q: What is the range of completion times of the teams that completed the game in less than 20 minutes?

A: To calculate the range of completion times, we need to subtract the smallest completion time from the largest completion time. The smallest completion time is 15 minutes, and the largest completion time is 18 minutes. Therefore, the range of completion times is 18 - 15 = 3 minutes.

Q: What is the interquartile range (IQR) of completion times of the teams that completed the game in less than 20 minutes?

A: To calculate the IQR, we need to arrange the completion times of the two teams in order and select the middle 50% of the data. Since there are only two teams, the IQR is the difference between the two completion times, which is 18 - 15 = 3 minutes.

Q: What is the standard deviation of completion times of the teams that completed the game in less than 20 minutes?

A: To calculate the standard deviation, we need to calculate the variance of the completion times and then take the square root of the variance. The variance is calculated as the sum of the squared differences between each completion time and the mean completion time, divided by the number of teams minus 1. The mean completion time is 16.5 minutes. The variance is (18 - 16.5)^2 + (15 - 16.5)^2 = 2.25. The standard deviation is the square root of the variance, which is √2.25 = 1.5 minutes.

Q: What is the correlation coefficient between the completion times of the teams that completed the game in less than 20 minutes?

A: To calculate the correlation coefficient, we need to calculate the covariance of the completion times and then divide by the product of the standard deviations of the completion times. The covariance is calculated as the sum of the products of the differences between each completion time and the mean completion time, divided by the number of teams minus 1. The covariance is (18 - 16.5)(15 - 16.5) + (15 - 16.5)(18 - 16.5) = 0. The correlation coefficient is the covariance divided by the product of the standard deviations, which is 0 / (1.5 * 1.5) = 0.

Conclusion

In this article, we answered some frequently asked questions related to the analysis of the completion times of the teams that completed the escape room game in less than 20 minutes. We calculated the average, median, mode, range, IQR, standard deviation, and correlation coefficient of the completion times. The results provide additional insights into the completion times of the teams and can be used to inform future decisions related to the escape room game.

Recommendations

Based on the results of this analysis, we recommend the following:

Teams that completed the game in less than 20 minutes should be recognized and rewarded for their achievement.
The escape room game should be modified to make it more challenging and require more time to complete.
The data should be collected and analyzed on a regular basis to track the completion times of the teams and identify areas for improvement.

Future Research Directions

This analysis provides a starting point for future research on the completion times of teams in escape room games. Some potential research directions include:

Analyzing the relationship between team size and completion time.
Examining the impact of team dynamics on completion time.
Investigating the effect of different escape room game designs on completion time.

By exploring these research directions, we can gain a deeper understanding of the factors that influence completion times in escape room games and develop strategies to improve the game and enhance the player experience.