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What is the difference between Relative Strength and Relative Strength Index (RSI)?

There is actually no connection between them whatsoever. They are completely different. This is one of the ongoing confusing things in technical analysis.

Relative Strength is simply the price of one security divided by the price of another security or by the value of a market index. It shows whether the stock is stronger or weaker than the reference stock or index.

RSI stands for Relative Strength Index and is a momentum oscillator. It measures the relative strength of up and down closing days over a period, such as 14 days.