Expected value is not the mode. - NISHIO Hirokazu's Scrapbox (Auto-translated from Japanese)

Expected value is not the mode.

https://gyazo.com/18ed6513deb72838f020aefb3ada855b

https://gyazo.com/26b48d32dccf54bc4ef051c3066a4a12

If probability distribution is not symmetrical, then "expected value" (average) and "the value with the highest probability of occurring" (mode) are different.

mean value

---

This page is auto-translated from /nishio/期待値が最頻値ではない using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I'm very happy to spread my thought to non-Japanese readers.