Stochastic interpretation is a fancy way of explaining something that is hard to predict. Think of it like playing with toy blocks. You can arrange the blocks in different ways, but you never know which way they will fall when you knock them over. This means that the way they fall is unpredictable or random.
Stochastic interpretation is used in many different fields, such as science, economics, and finance. For example, when scientists are trying to predict how a population of animals will grow, they use stochastic interpretation because there are many factors that can affect the growth rate like predator conditions, changes in environment and more. They use mathematical models to predict how the population size will change over time, but they can't say for sure exactly how it will change because there are many unpredictable factors involved.
Another example can be provided in finance, where stock prices can be hard to predict. Investors use statistical models to try to guess how prices will change, but they never know for sure what will happen. This is because the stock market is affected by many different things, like changes in world politics, natural disasters, and unexpected news.
So, in short, a stochastic interpretation is a way of explaining things that are unpredictable or hard to predict, and it's used in different fields to understand complex systems that are difficult to model or explain. It's like guessing how things will turn out based on probability, but with the knowledge that there's a chance you may be wrong, and that's okay.