Mann Whitney U Test: Determining "First" Population

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The Mann Whitney U test evaluates the differences between two populations based on rank sums. The designation of "first" or "second" population is arbitrary, as the test focuses on the relative differences rather than the specific populations. The R1 term represents the sum of ranks for the chosen "first" population, but it does not affect the outcome of the test. Ultimately, the choice of which population to label as "first" is not critical to the validity of the results. The test's primary goal is to assess the differences in distributions between the two groups.
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The question relate to the Mann Whitney U test with two populations.

For the test statistic formula, there is a R1 term, which is the sum of the ranks of the "first" population. My question is, given any two populations, how do i decide which one is the "first" population?
 
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The Mann Whitney U test essentially tests the absolute value of the difference in means of two populations. It doesn't matter which is the "first" and which is the "second" population.
 
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