Consider a text file with scientific data, e.g.:
5.787037037037037063e-02 2.048402977658663748e-01 1.157407407407407413e-01 4.021264347118673754e-01 1.736111
This is easy to accomplish with awk.
Remove every other line:
awk 'NR % 2 == 0' file > newfile
Remove every 10th line:
awk 'NR % 10 != 0' file > newfile
The NR variable in awk is the line number. Anything outside of { } in awk is a conditional, and the default action is to print.