Introducing intervals, which are bounded sets of numbers and are very useful when describing domain and range. We can use interval notation to show that a value falls between two endpoints.

From scientific measures to election predictions, confidence intervals give us a range of plausible values for some unknown value based on results from a sample. Let's learn to make useful and reliable …

Or another way of thinking about it, this is another way of saying that x is in the interval between-- it's less than 1 and it is greater than negative 1. And this term right over here, now x is a variable. x can …

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph. Want to …

And now linguistically it sounds a little bit more like a confidence interval. We are confident that there's a 99% chance that p is within 0.08 of the sample mean of 0.568.

Now let's look at the t table. We want a 98% confidence interval and we want a degree of freedom of 14. Let's get our t table out, and I actually copied and pasted this bottom part and moved it up so you …

Histograms A histogram displays numerical data by grouping data into "bins" of equal width. Each bin is plotted as a bar whose height corresponds to how many data points are in that bin. Bins are also …

But with all of that out of the way, let's actually answer the question. Well, to construct a confidence interval around a statistic, you would take the value of the statistic that you calculated from your sample.

Learn to interpret confidence levels and intervals in statistics with Khan Academy's engaging resources, perfect for mastering AP® Statistics concepts.

Once we build a confidence interval for a proportion, it's important to be able to interpret what the interval tells us about the population, and what it doesn't tell us. Let's look at few examples that …