A log-normal distribution is a type of probability distribution, which is something that tells us how often something is likely to happen based on the data we have. It is called 'log normal' because it relates to a special type of mathematical formula called a 'logarithm'. A logarithm is a way of expressing numbers so that they are easier to work with.
In a log-normal distribution, what we look at is the probability that something will happen or the chance of something happening, given the data we have. For example, if we were looking at the chances of someone agreeing to participate in a survey, we would look at the data about how many people typically answer 'yes' or 'no' and then figure out the chances of someone answering 'yes' or 'no' based on the data.
So, in a log-normal distribution, the chances we calculate of something happening or not happening, usually depend on the data we have - and the probability will usually be expressed as either a percentage or a decimal.