As chief data scientist at the Servicio Meteorológico Nacional, you’re tasked with finding the median temperature in Celsius. Instead of first converting each temperature t1, . . . , tn to Celsius and finding the median of the resulting numbers, you instead simply convert Median(t1, . . . , tn) to Celsius. Is it true that both approaches give the same result? That is, is it the case that Median(g(t1), . . . , g(tn)) = g(Median(t1, . . . , tn))?

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