As you can see there are many elements that influence the price of an option you now should understand the most important ones: Dividend, Interest, Underlying value, Volatility, Duration.
Standard deviation is a measure of dispersion around a mean value.
We use an underlying’s forward price and option information to calculate a mean value and standard deviation.
Using the standard deviation and mean value, we can create a probability distribution.
We calculate the area under a probability distribution in a given range to calculate probabilities.
When volatility increases, the standard deviation also increases ( all other elements being equal).
When days to expiration increase, the standard deviation also increases. ( all other things being equal).
When standard deviation increases, it is theoretically more likely for a strike price to expire in the money ( all other things being equal).