I never knew how options traders buy their strikes based on what merit. What price?
How do you know it's the right price to buy at for your strategy?
The answer to your question is complex, and rests on what your strategy is.
But in very, very basic terms, a straight options buyer of calls or puts is going to be betting on a rise or fall in the underlying instrument (stock, index, etc.) So that buyer will need to decide on which STRIKE PRICE of the option to buy. You will see strike prices and expiration dates listed on the options chains listings.
Why would you select one strike price over another? There are many reasons, but one of the more important is options DELTA, or the measure of how much the put or call will be likely to move in relation to the underlying instrument. An option with a higher delta will move more than one with a lower delta.
So, let's say for example that you want to buy a call on XYZ, priced at $50. You look at the options chains (list of strikes and expiration dates), and see that a call with a strike price of $45. has a higher delta than a call priced at $50. And your strategy is that you are looking at a quick move up in XYZ. So you might opt to buy the lower strike call with the hope that you will generate a big move. (Not all options chains or listings show Delta, but many do. And Delta in itself is worth hours of discussion.
Another big consideration is the EXPIRATION DATE of the option, because that can also impact projected movement of the option price. In general, an option with a closer expiration date will move faster that one with a date farther out. But like Delta, this too is worth hours of discussion.)
So in answer to your question, you're seeing such a range of prices, strikes, and expiration dates in options listings because each offers a buyer a different flavor of option that may be more helpful to his or her strategy. And every options trader is going to have a different viewpoint, based on experience and strategy. It also illustrates the complexity of options trading, and why a trader should not get involved until he or she can successfully develop and trade a strategy for the underlying security.