to use log-transform: when data is right-skewed or spans multiple orders of magnitude

Why can't we just add numbers to compare incomes?

Image: NASA/GSFC/LaRC/JPL, MISR Team ,przeniósł na Commons Dobrzejest, wikipedia.pl : Adi4000[1], Public domain, via Wikimedia Commons

to use log-transform: when data is right-skewed or spans multiple orders of magnitude

Why can't we just add numbers to compare incomes?

Imagine you're comparing incomes from different countries, like the US, India, and Switzerland. The numbers are huge and don't match up easily.

By using the log transform, we can make these huge numbers smaller and more comparable. It's like leveling the playing field for a fair comparison.

Example

An American earning $50,000, an Indian earning ₹1,000,000, and a Swiss earning CHF 100,000. After log transformation, these incomes become more manageable and comparable.

Remember this

The log transform helps us compare incomes from different countries on a more equal footing.

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