Standard error of the mean
When we want to know something about a whole group of things, we can take a sample or a small group of those things and measure them to get an idea of what the whole group is like. The mean is the average of those measurements or numbers we get from the sample.
Sometimes, the mean can be different if we take a different sample. This is where the standard error of the mean comes in. It helps us understand how much variation there can be between different samples.
Basically, the standard error is a way to measure how sure we can be that the mean we calculated from the sample is close to the actual mean of the whole group. The standard error gets smaller if we have a bigger sample size and if the measurements or numbers we get from the sample are not too spread out.
So, if we have a small standard error, it means that we can be pretty sure that the mean we calculated from our sample is very close to the actual mean of the whole group. And if we have a large standard error, it means that there is more variation in the samples we could take, and we might not be as sure that our mean is close to the actual mean of the whole group.
Sometimes, the mean can be different if we take a different sample. This is where the standard error of the mean comes in. It helps us understand how much variation there can be between different samples.
Basically, the standard error is a way to measure how sure we can be that the mean we calculated from the sample is close to the actual mean of the whole group. The standard error gets smaller if we have a bigger sample size and if the measurements or numbers we get from the sample are not too spread out.
So, if we have a small standard error, it means that we can be pretty sure that the mean we calculated from our sample is very close to the actual mean of the whole group. And if we have a large standard error, it means that there is more variation in the samples we could take, and we might not be as sure that our mean is close to the actual mean of the whole group.