Should I buy a 240Hz monitor for gaming?

I am wondering whether to buy a 240Hz monitor for my sons to use for gaming.  How does fps relate to refresh rate? One has a GTX 750Ti and the other has a GTX 960. Both of them say that they are capable of a 240Hz refresh rate but when they play their games they never seem to get an fps of more than about 170. Does that mean that the graphics card would be able to cause a 240Hz monitor to refresh at 240Hz but that the change in image would actually only occur 170 times per second - a bit like having the monitor sample 240 time per second an image that is changing 170 times per second?

Essentially, does this mean that until they get a graphics card which is capable of an fps that is closer to 240, then a 144Hz monitor would perform in a similar way to a 240Hz monitor?

Thank you
Now ThenNot applicableAsked:
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People who typically purchase a 240 Hz monitor for gaming are typically doing 3D gaming .  It will also give you a higher frame rate, smoothness, and picture on games when running a "High End" graphics card.

here is an article that will explain the difference :
Omar SoudaniSenior System EngineerCommented:
Better graphic card will give you a higher frame rate not the monitor. frame rate is when GPU cuts the image(Frame) into pixels and send this information to the display. Refresh rate is number of times per second your monitor can redraw the screen. They are two separate things. Refresh rate does not effect the frame rate your GPU will be outputting.

Thanks for the correction, you are correct it is the GPU that provides the "better frame rate" However, the Monitor will provide a better picture while in rapid motion, which is why I said better frame rate.
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Now ThenNot applicableAuthor Commented:
Thank you for your help. However, people don't seem to be answering my question. Let me try and ask it this way:
If my monitor were 144Hz and my graphics card were providing 170fps, would that mean that my monitor would effectively be capping my graphics card at 144fps?
Omar SoudaniSenior System EngineerCommented:
Yes! If your FPS is higher than your refresh rate, your display will not be able to display all of the frames , although the refresh rate doesn’t  limit the frame rate, it does set a cap.

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Now ThenNot applicableAuthor Commented:
Thank you folks.
Lucas BishopClick TrackerCommented:
One of the most important things to consider with purchasing a monitor is input lag. If your son is into PVP games, significant input lag on screen can be quite detrimental to user performance.

Here is a good explanation along with a list of monitor test results:
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