I don’t think you understand the definition of emotional intelligence. It is entirely separate from intellectual and cognitive skilled - working memory, knowledge retention/integration, analytical thinking etc.
People scatter all over the place - some have a lot of EQ and IQ, others have tons of EQ but low IQ, some are the reverse. Some are average to low at both.
In general people with low IQ have low EQ. As IQ level rises EQ typically does to but at the very high end of the IQ spectrum you tend to see a EQ for these individuals start to drop again proportional to the degree their IQ is abnormally high.
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