Article: The result is the relative error. Note that in most cases the unit of measurement of the absolute error will be the same as the unit of measurement of the actual value, and the units will cancel each other. This leaves the relative error without any units of measurement. This simple equation tells you how far off you were in comparison to the overall measurement. A low relative error is, of course, desirable. To continue the example of measuring between two trees: Your Absolute Error was 2 feet, and the Actual Value was 20 feet. 2ft20ft{\displaystyle {
rac {2ft}{20ft}}} Relative Error =.1{\displaystyle =.1} Leave the relative error in fraction form, complete the division to render it in decimal form, or multiply the resulting decimal form by 100 to render your answer as a percentage. This tells you what percentage of the final measurement you messed up by. If you are measuring a 200 foot boat, and miss the measurement by 2 feet, your percentage error will be much lower than missing the 20 foot tree measurement by 2 feet. The error is a smaller percentage of the total measurement. 2ft20ft=.1{\displaystyle {
rac {2ft}{20ft}}=.1} .1100=10%{\displaystyle .1*100=10\%} Relative Error. Once you understand the difference between Absolute and Relative Error, there is really no reason to do everything all by itself. Simply substitute the equation for Absolute Error in for the actual number. Note that the vertical bars are absolute value signs, meaning anything within them must be positive. Relative Error =|MeasuredActual|Actual{\displaystyle ={
rac {|\mathrm {Measured} -\mathrm {Actual} |}{\mathrm {Actual} }}} Multiply the whole thing by 100 to get Relative Error Percentage all at once. Let the audience know the units you're using for measurement. However, the relative error does not employ units of measurement. It is expressed as a fraction or a percentage, such as a relative error of 10%.
Question: What is a summary of what this article is about?
Divide the Absolute Error by the Actual Value of the item in question to get Relative Error. Multiply the answer by 100 to get an easier to understand percentage. Calculate Relative Error all at once by turning the numerator (top of fraction) into your Absolute Error equation. Always provide units as context.

Problem: Article: In order to calculate the CAGR, first you need to define the period of time for which you want to do the calculation. Next, you need to know the beginning value of an investment. Then, find out the ending value of the investment for the time period. Divide the ending value by the beginning value. Then raise the result to the power of 1 divided by the number of years in the time period. Finally, subtract 1 from the result. Raising a value to an exponent is done on a calculator by entering the first value, pressing the exponent button (usually represented as xy{\displaystyle x^{y}}), then entering the exponent value and pressing enter. Alternately, you can type the expression into Google using the "^" symbol between the base number and exponent. The search engine will solve it for you. In the example above, the period was three years, from 2012 to 2015. The beginning value was $10,000. The ending value was $19,500. Use the following formula: CAGR=((endingvalue/beginningvalue)1numberofyears)1{\displaystyle CAGR=((endingvalue/beginningvalue)^{
rac {1}{numberofyears}})-1} Using the above formula, CAGR=(($19,500/$10,000)13)1{\displaystyle CAGR=((\$19,500/\$10,000)^{
rac {1}{3}})-1} This equals (1.950.333)1{\displaystyle (1.95^{0.333})-1} This then equals 1.24931{\displaystyle 1.2493-1} Which solves to 0.2493, or 24.93 percent.
Summary: Gather the information. Calculate CAGR with a mathematical formula. Learn with an example.

Most people who are afraid of cats are already aware that cats are pretty harmless. However, they have a fear response that is initiated in the brain that they can't currently control. Phobias are often learned behavior. A person may have one bad experience with a cat, he may have subconsciously begun to associate cats with negative things such as illness, or he may have "learned" to be afraid of cats by watching his parents' fearful behavior around them when he was a child. Multiple brain regions are involved in phobias. Therefore, it will take you some time to retrain your brain to think and respond differently to cats. When you are able to identify those unhelpful thoughts, then you can begin to evaluate them. You will probably see that most of these thoughts fall into one (or more) of these three cognitive distortions: Fortune telling is when a person assumes they know what the outcome of a situation is going to be without any true evidence to support it. For example, you may think "This cat is going to scratch me" even though you've never had any interaction with that cat before. Overgeneralizing is when a person takes one specific event and generalizes it to all events. For example, you may think "My friend's cat scratched me two years ago therefore all cats are vicious." Catastrophizing is when you predict that a negative outcome is going to occur and believe that when it does, it will result in a catastrophe. Catastrophizing is when you assume a situation is going to be the absolute worst case scenario. For example, you may think "If the cat scratches me, I will get an infection and die." You can do this by creating alternative statements to counteract the negative thought. When doing this, you are essentially retraining your subconscious to release the unhelpful cognitive distortions and replace them with more positive beliefs. Focus on replacing the negative thought with a positive statement that helps you emphasize neutral or more positive outcomes. For example, you could replace the thought "This cat is going to scratch me" with a statement like "Many people interact with cats every day and do not get scratched." You can even begin by using statements that are less negative then your original thought. For example, you could replace the thought "If the cat scratches me, I will get an infection and die" with the less negative statement, "The worst thing that could happen is that the cat scratches me and runs away. I've been scratched before and it's not so bad. I won't likely get an infection." Eventually you can replace the less negative thought with something even more positive. Try to do this whenever a negative thought pops up. Eventually you'll begin to think more positively about cats.
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One-sentence summary --
Recognize that your cat phobia is likely being exacerbated by unhelpful thoughts. Make a list of all the negative and unhelpful thoughts that you experience when you are near cats. Replace the negative thoughts with more helpful thoughts.