The definition formula of the color difference has evolved radically during the last 50 years. I guess the idea has been to find new versions which more closely present how people see colors. Organization CIE has published their formulas to be used for free. The evolution is described in this Wikipedia article: https://en.wikipedia.org/wiki/Color_difference
CIE2000 version of their deltaE definition formula is so complex that it took nearly half a hour to read it through so carefully that I felt I understood the idea.
But there's color difference calculators in the web. With them you can input two colors in various color systems and see their deltaE. Both colors are also shown assuming the user has a properly calibrated sRGB screen (see NOTE1). Try for ex. this calculator:
You must input different color pairs to find colors that are apart of each other amount deltaE=4.65 Search another set of pairs that have difference 8.2
The searching methods 1) trial and error or 2) deep math analysis.
I guess you cannot find exactly fitting pairs because you can input colors only as integers. Here's an example:
The found 2 yellows have deltaE=about 4,59 and its quite noticeable.
NOTE1 If you happen to have an uncalibrated screen there's no way to show the colors right nor to know how much they are OFF. Calibrated sRGB screen is one that can produce the whole sRGB color range and the screen itself or the combination your screen + your computer together have gone through a color measurement based calibration procedure. That needs color measurement instrument and calibration software. Common pure sight based calibration receipes are not valid for numerical accuracy.