https://file.aiquickdraw.com/mathbot/file/1725936650886aslujaun.jpg

The image you've provided outlines instructions for plotting data points and includes a table of values for "Day" and "X". Here's a step-by-step breakdown:

1. **Objective**:  
   - Plot a graph using the provided data.
   - Y-axis: Ranges from 2.5 to 8.0 with increments of 0.5.
   - X-axis: Respective days listed in the table.

2. **Steps**:
   - Use the computed standard deviations (SDs) to create different ranges on the Y-axis:
     - Mean (black line)
     - ±1SD (blue line)
     - ±2SD (green line)
     - ±3SD (red line)
   - The colors mentioned above will serve as the legend, without explicitly labeling the lines as mean or SDs.
   
3. **Data provided** (Days 1 to 21, X-values):

   | Day  | X   |   | Day  | X   |
   |------|-----|---|------|-----|
   | 1    | 5.34|   | 12   | 4.95|
   | 2    | 5.67|   | 13   | 5.01|
   | 3    | 5.85|   | 14   | 5.36|
   | 4    | 5.34|   | 15   | 5.00|
   | 5    | 5.21|   |

Plot the provided data on a graph with a Y-axis range based on standard deviations (SDs) and the X-axis representing respective days. Compute the ±1SD, ±2SD, and ±3SD ranges and use different colors for plotting.

This guide covers how to plot data using standard deviations on a graph, ranging from ±1SD to ±3SD. The process includes calculating the Y-axis range based on SDs and plotting data points over 21 days. Ideal for high school students learning statistical data representation.

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