The temperature listed on the weather report is the temperature of the air, which is essentially a measure of the average kinetic energy of the air molecules.
The “real feel” temperature takes into account factors that affect how hot or cold we feel. The humidity in the air affects how easily we cool our bodies through sweat. The wind speed changes the rate at which fresh air molecules can either give or take heat from our bodies. There is also radiation from the Sun that doesn’t get absorbed by the air, but does get absorbed by our bodies and warms us.
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