Final answer:
In mathematics, to fill a frequency tree with given data, we subtract and add the relevant quantities provided to find the unknowns. In this case, values A, B, and C in the frequency tree are 3, 5, and 11 respectively, after calculating based on the given statistics from the fishing trip.
Step-by-step explanation:
The subject of this question is Mathematics, specifically involving the use of a frequency tree. To calculate the values that should replace A, B, and C in the frequency tree, one must understand the problem given, which consists of a group of 25 people on a fishing trip and various fish they caught or did not catch.
So first, let's identify the given information:
Of the people who caught a mackerel, 3 people did not catch a trout (which means 8 - 3 = 5 people caught both a mackerel and a trout).
C: Number of people who caught only a trout.
Therefore, the values we need to replace in the frequency tree are A = 3, B = 5, and C = 11.