Plotting with base 10 as the interval

In summary, base 10 interval plotting is a method of graphing data with evenly spaced tick marks that increase or decrease by a factor of 10. It is commonly used for numerical data to make interpretation, calculations, and comparisons easier. The intervals are determined by the range of the data, and it may not be suitable for categorical data or if the range is very small or large. Alternative interval sizes or graph types may be more appropriate in these cases. Additionally, outliers in the data may affect the accuracy of the graph.
  • #1
Figaro
103
7
I want to plot a function f(x) such that it's domain is from 1 to 10000 but I want the graph to read 1, 10, 100, 1000, 10000 in the x-axis, while the y-axis is normal.

##f(x) = 2\sin^{-1} ( e^{-\frac{60}{x}})##

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  • #3
Thanks .Scott for your quick and helpful reply!
 

1. What is base 10 interval plotting?

Base 10 interval plotting is a method of graphing data where the interval between each tick mark on the axis is equal to 10. This means that the distance between each tick mark increases or decreases by a factor of 10.

2. Why is base 10 interval plotting used?

Base 10 interval plotting is often used because it allows for easier interpretation of data. The intervals between each tick mark are evenly spaced, making it easier to see patterns and trends in the data. It also simplifies calculations and comparisons between data points.

3. How do you determine the intervals for base 10 interval plotting?

The intervals for base 10 interval plotting are determined by the range of the data. The interval should be small enough to show variation in the data, but large enough to avoid overcrowding the graph. A good rule of thumb is to use an interval of 1, 2, or 5 times a power of 10 (e.g. 1, 10, 100, etc.).

4. Can you use base 10 interval plotting for all types of data?

Base 10 interval plotting is most commonly used for numerical data, such as measurements or counts. It may not be appropriate for categorical data, where the intervals do not have a meaningful numerical value. In these cases, other types of graphs may be more suitable.

5. Are there any drawbacks to using base 10 interval plotting?

One potential drawback of base 10 interval plotting is that it may not accurately represent the data if the range is very small or very large. In these cases, alternative interval sizes or types of graphs may provide a better visualization of the data. Additionally, if the data contains outliers, the use of base 10 interval plotting may obscure the true pattern in the majority of the data.

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