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First we need to choose an interval: Then we can say that a local maximum is the point where: The height of the function at a is greater than (or equal to) the height anywhere else in that interval. Or, more briefly: f(a) â¥ f(x) for all x in the interval. In other words, there is no height greater than f(a).
The midpoint, or class mark, of a class is the sum of the lower and upper limits of the class divided by 2. The midpoints are often used for estimating the average value in each class. Once you find the first midpoint, you can add the class width to it to find the remaining midpoints.