### Create Interactive Boxplots Online!

# Table of Contents

- Introduction
- Understanding the Five Number Summary
- Using an Online Generator to Compare Data Sets
- Comparing Experiment One and Experiment Two
- 4.1 Box Plot for Age
- 4.2 Box Plot for Maximum Heart Rate

- Analyzing the Box Plots
- 5.1 Spread of Data in Experiment One
- 5.2 Spread of Data in Experiment Two
- 5.3 Comparing Medians
- 5.4 Comparing Spread in the Middle 50%
- 5.5 Difference in Ages and Maximum Heart Rates

- Conclusion

# Using an Online Generator to Compare Two Sets of Data

In this article, we will explore how to use an online generator to compare two sets of data using a five number summary and box plots. We will be examining two experiments: Experiment One, which focuses on age and maximum heart rate, and Experiment Two, which also explores age and maximum heart rate. By comparing these experiments, we can gain insights into the differences and similarities between the two sets of data.

## Understanding the Five Number Summary

Before diving into the online generator, it is essential to understand the concept of the five number summary. The five number summary consists of the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value of a dataset. These measures provide an overview of the spread and central tendency of the data.

## Using an Online Generator to Compare Data Sets

To compare the data sets, we will be using an online generator called imathers.com. This generator allows us to create box plots based on the five number summary for each experiment. To begin, we need to select "two" under the "Number of Box Plots to Graph" option.

## Comparing Experiment One and Experiment Two

### 4.1 Box Plot for Age

First, we will compare the ages from Experiment One and Experiment Two. In the online generator, we will input the five number summary for each experiment, including the minimum, first quartile, median, third quartile, and maximum values. By doing this, we can generate a box plot that visually represents the distribution of ages for each experiment.

### 4.2 Box Plot for Maximum Heart Rate

Next, we will compare the maximum heart rates from Experiment One and Experiment Two. Similar to the previous step, we will input the five number summary for each experiment into the online generator. This will allow us to create a box plot that illustrates the spread and central tendency of the maximum heart rates for each experiment.

## Analyzing the Box Plots

### 5.1 Spread of Data in Experiment One

Upon examining the box plots, we can observe the spread of data in Experiment One. The box and whisker plot for age shows that the data is more spread out in the lower range, with a smaller spread in the upper range. This indicates that there may be an outlier among the younger participants. On the other hand, the box plot for maximum heart rate reveals a more condensed distribution, with less spread among the participants.

### 5.2 Spread of Data in Experiment Two

In Experiment Two, we can see a similar pattern in the spread of data. The box plot for age shows a slightly greater spread among the participants, particularly in the top quartile. However, the spread is still relatively small. The box plot for maximum heart rate exhibits a wider spread compared to Experiment One, with a smaller minimum and a larger maximum value.

### 5.3 Comparing Medians

By comparing the medians of Experiment One and Experiment Two, we can draw further insights. The median maximum heart rate in Experiment One is higher than that in Experiment Two, indicating a slight difference between the two sets of data. However, the medians for age are the same in both experiments, suggesting similar ages among the participants.

### 5.4 Comparing Spread in the Middle 50%

Analyzing the middle 50% of the data, we find that Experiment Two has a slightly less spread out range compared to Experiment One. The interquartile range (IQR) for Experiment One is wider, indicating a greater spread of ages and maximum heart rates within the middle range. On the other hand, Experiment Two has a more concentrated distribution.

### 5.5 Difference in Ages and Maximum Heart Rates

Considering the similarities and differences highlighted in the box plots, we can conclude that Experiment One and Experiment Two have similar medians for age. However, Experiment One exhibits a higher median for maximum heart rate compared to Experiment Two. Additionally, Experiment Two shows a narrower range in the middle 50%, indicating a more typical distribution of data.

## Conclusion

In conclusion, using an online generator to compare two sets of data using box plots can provide valuable insights into the spread and central tendency of the data. Through the comparison of Experiment One and Experiment Two, we were able to identify differences in maximum heart rates and the spread of data in different age groups. This information can be used to analyze and further understand the characteristics of the data sets.