How can the median of the moving average of the time series plot be shown for the participants?

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There are several ways to show the median of the moving average of a time series plot for the participants, depending on the software or tool being used to create the plot. Here are a few options:

1. Add a horizontal line to the plot at the location of the median of the moving average. This can be done in many graphing software packages, such as Excel, MATLAB, or R. The line can be styled differently than the plot lines to make it stand out, such as a thicker line or a dashed line. This method allows the participants to easily see where the median falls relative to the plot line.

2. Create a separate plot or chart that displays the median of the moving average. This can be particularly useful if there are multiple moving averages or sub-groups of participants being compared. The chart can be a simple bar chart or a box plot that shows the median along with other summary statistics like quartiles or standard deviation. This method can help the participants quickly compare the medians of different groups or moving averages.

3. Use a tooltip or hover-over feature to display the median when the participant interacts with the plot. This can be particularly useful if the plot is interactive, such as a D3.js visualization or a Shiny app. When the participant hovers over a specific point on the plot, a tooltip can be displayed that shows the median of the moving average for that point in time. This method can be more engaging and interactive than the other methods, but it does require more advanced programming skills to implement.