When Paul Samuelson switched from physics to economics, Robert Solow is said to have remarked that the

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When Paul Samuelson switched from physics to economics, Robert Solow is said to have remarked that the average IQ in both disciplines went up. A by-stander responded that Solow’s claim must be wrong because it implies that the average IQ for academia as a whole (which is a weighted average of the average IQ levels for each discipline) must also have gone up as a result of the switch, which is clearly impossible. Was the bystander right? Explain.

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