What scale should I take for readings like (6.38,12.7,19.1,25.53,31.91,38.29) on x-axis and (1.27,1.25,1.21,1.18,1.14,1.12) on y-axis?In a-4 size paper graph.
To determine the appropriate scale for the x-axis and y-axis of your graph, you need to consider the range of values you have for each axis. Here's how you can proceed:
1. Determine the range for the x-axis:
- The minimum value on the x-axis is 6.38, and the maximum value is 38.29.
- The range is obtained by subtracting the minimum value from the maximum value: 38.29 - 6.38 = 31.91.
- Divide the range by the length of the paper (a-4 size paper is typically 8.27 inches or 210 mm wide) to get the scale factor: 31.91 / 8.27 = 3.86 (approximately).
2. Determine the range for the y-axis:
- The minimum value on the y-axis is 1.12, and the maximum value is 1.27.
- The range is obtained by subtracting the minimum value from the maximum value: 1.27 - 1.12 = 0.15.
- Divide the range by the width of the paper (a-4 size paper is typically 11.69 inches or 297 mm tall) to get the scale factor: 0.15 / 11.69 = 0.01 (approximately).
3. Determine the number of divisions on each axis:
- You can choose the number of divisions based on how granular you want your graph to be. Let's assume you want 5 divisions on each axis.
4. Calculate the increment for each division:
- For the x-axis, divide the range by the number of divisions: 3.86 / 5 = 0.77.
- For the y-axis, divide the range by the number of divisions: 0.01 / 5 = 0.002.
5. Determine the scale for each axis:
- For the x-axis, start from 0 and increment by 0.77 for each division: 0, 0.77, 1.54, 2.31, 3.08, 3.86.
- For the y-axis, start from 1.12 and decrement by 0.002 for each division: 1.12, 1.118, 1.116, 1.114, 1.112, 1.11.
By following these steps, you will have determined the appropriate scale for the x-axis and y-axis of your graph based on the provided set of readings.