No, they're different. The standard deviation shows how much individual measurements in a group vary from the average. Think of it like how much students' grades differ from the class average.

A confidence interval, on the other hand, is a range that we're pretty sure (like 95% sure) contains the true average grade for all classes, based on our class. It's about our certainty in estimating a true average, not about individual differences.

A confidence interval gives a range where we think a certain number (like an average) lies for the whole population, based on our sample data. The "confidence level" (like 95%) is how sure we are that this range includes the true value.

So, if we have a 95% confidence interval for the average height of all 16-year-olds as 5'4" to 5'8", we're saying we're 95% confident that the true average height for all 16-year-olds is somewhere between 5'4" and 5'8".

It doesn't mean all heights are equally likely, just that the true average probably falls in this range. It's a way to show our uncertainty in estimates.

A standard box plot displays medians and interquartile ranges, not confidence intervals. However, some enhanced box plots can include confidence intervals around the median or mean, represented by notches or error bars.

While not a traditional feature, adding confidence intervals can give more insight into the data's reliability of central tendency estimates.