Answer : Option B) Measuring the DCH (diameter chest-high) of 200 trees in a forest
Option C) Counting the votes in an election to determine the next mayor and
Option D) Asking 500 telephone respondents what their favorite radio station is
Explanation : The activities which are examples of data gathering are given in option B) C) and D) as they clearly show that they are collecting some kind of the data from their activity.
As in option B - they are collecting the diameter of the 200 trees which is a kind of data gathering.
In option C - Counting of votes is being done which is going to be declared later. So, it is also a kind of data gathering.
And in option D - Collecting the telephone numbers is an obvious example of data gathering. As it is collecting data from the consumers in the form of telephone numbers.