My goal is something between 10 to 100 pips per trade, but it also depends on the asset you're trading and also on the market conditions and own mindset at that very time when I start or close a trade. For weekly or monthly results I don't have any pip-goals; I'm looking more on the percentage-gain. A monthly gain between 0.5% and 10% is okay for me, because that's most realistic on long terms (e.g. if you're trading an account for more than 2 years). Everything else is just gambling not trading. This is how 3 of my accounts are looking like this year:
It's not specific and it should be specific. It depends on market situation. In some weeks you can get a lot of good trades. In some weeks it could be very few or none. Profit target should be quarterly or half yearly. Daily target sometimes causes psychological pressure resulting in unnecessary trades and loss.
@Michihito said it right. Every trader's target should be different. It should be based on trading skills. We should not compare ourselves with how many pips others are making. We should focus on our individual skills and experience.
I plan before trading. I never trade without a plan. I have a profit target of 200 pips per month. That means 50 pips a week and 10 pips regular. When there is a loss in a trade, I try to cover that loss with a risk-reward.
Market situations affect every aspect of trade and it is not easy to specify a particular target. It also depends on what you are trading in and what the profit margin is. Focusing on petty or small gains could help in fulfilling short term goals.
Targeted profit is part of the strategy. I find it most effective to close day trades with gains of 25 to 50 pips. (average value for all deals). If the market allows, you can raise this indicator to 70 points. But this is more the exception than the rule.
But how do you know when to close early and when to leave a trade to run. Also, what stop loss are you using to get 25 pips? If you use a 50 pip SL to get 25 pips then you will end up in loss eventually