Question

The social networking site Facebook has grown rapidly in the last 10 years. The following table shows the average number of daily users (in millions) as it has grown from 2010 to 2017 in different regions in the world. \(^{3}\) $$\begin{array}{lrc}\hline \text { Region } & 2010 & 2017 \\\\\hline \text { United States/Canada } & 99 & 183 \\\\\text { Europe } & 107 & 271 \\\\\text { Asia } & 64 & 453 \\\\\text { Rest of the world } & 58 & 419 \\ \hline \text { Total } & 328 & 1,326 \\\\\hline\end{array}$$ Use a bar chart to describe the distribution of average daily users for the four regions in \(2010 .\)

Short answer

Question: Create a bar chart to describe the distribution of average daily Facebook users in 2010 for the given regions: United States/Canada, Europe, Asia, and the Rest of the World. Answer: Using the gathered data from the table, a horizontal bar chart can be created with region names on the y-axis and the number of average daily users in millions on the x-axis. The bars for each region are as follows: United States/Canada extends to 99 million users, Europe extends to 107 million users, Asia extends to 64 million users, and the Rest of the World extends to 58 million users. The chart is labeled and titled "Distribution of Average Daily Facebook Users by Region in 2010."

Step-by-step solution

Gather Data

Based on the given table, we will gather the data for the year 2010 for each region: - United States/Canada: 99 million users - Europe: 107 million users - Asia: 64 million users - Rest of the world: 58 million users

Set up the Bar Chart

We'll set up a horizontal bar chart since it makes the data more readable because the region names are relatively long. Label the y-axis with the region names, and the x-axis with the number of daily average users in millions. Make sure to set the scale for the x-axis so that it covers the range of users from 0 to the maximum number of users in any region.

Plot the Bars

For each region, create a rectangle (bar) that starts at 0 on the x-axis and extends to the number of average daily users for that region. The height of the bars should be proportional to the number of users, and they should have the same width. Here is how the bars look for each region: - United States/Canada: A bar that starts at 0 and extends to 99 on the x-axis - Europe: A bar that starts at 0 and extends to 107 on the x-axis - Asia: A bar that starts at 0 and extends to 64 on the x-axis - Rest of the world: A bar that starts at 0 and extends to 58 on the x-axis

Label and title the Bar Chart

Label each bar with the number of daily average users for each region next to the end of the bar, so it's easy to identify the exact number of users. Add a title to the chart, such as "Distribution of Average Daily Facebook Users by Region in 2010." After completing these steps, you should have a clear and easy-to-read bar chart that allows the viewer to compare the distribution of average daily users for the four regions in 2010.

Key concepts

Data Visualization in Statistics

Data visualization plays a critical role in the interpretation of statistical information. It involves converting numerical data into visual formats like graphs, charts, and maps, which helps in making complex data more understandable and accessible.

Among the various types of data visualizations, a bar chart is particularly effective for comparing numerical values across different categories. In educational settings, it enhances comprehension by relating abstract numbers to tangible visual elements. Bar charts can be presented in two ways: vertically or horizontally. The choice between the two depends on the context and ease of readability - in this case, the length of the category names influenced the decision for a horizontal layout.

To build an informative bar chart, follow these key steps:

• Choose the correct type of chart for your data.
• Label your axes clearly and set an appropriate scale.
• Plot bars corresponding to the data points.
• Add labels, titles, and legends if necessary for further clarity.

By following these steps, the resulted bar chart should effectively communicate the data, allowing the viewer to quickly grasp the comparative sizes of different categories.

Facebook User Growth Analysis

A growth analysis is a powerful tool to understand the trajectory of a company or phenomena. When analyzing Facebook's user growth, it's important to recognize patterns and driving factors behind the numbers. From the provided data, we can infer that Facebook experienced rapid user growth globally from 2010 to 2017.

Key points to consider in such an analysis include:

• Identifying regions with the fastest growth.
• Understanding market saturation and potential.
• Examining demographic changes and adoption rates.

With these factors in mind, a comparative analysis of the average daily users in different regions reveals striking trends and potential market strategies. In particular, a bar chart showcasing the distribution for the year 2010 sets a baseline for analyzing growth trends over the years.

Comparative Statistical Analysis

Comparative statistical analysis is the backbone of interpreting how different groups or time points compare with each other. It provides insights into trends, disparities, and potential correlations. With Facebook's user data, this type of analysis would enable us to contrast user engagement across different global regions.

A well-structured comparative analysis should:

• Highlight significant differences and similarities.
• Take into account external factors that might influence the data.
• Use appropriate statistical methods and visual aids to clarify findings.

Bar charts, such as the one suggested for the 2010 Facebook user data, offer a clear medium for this analysis. They allow for direct visual comparison of different regions' user counts, making it immediately apparent which areas were more engaged with Facebook during that year.