This is one way to describe intervals of input and output values, but is not the only way. In the previous examples, we used inequalities to describe the domain and range of the functions. Since possible prices are from a limited set of values, we can only define the range of this function by listing the possible values. Technically 0 could be included in the domain, but logically it would mean we are mailing nothing, so it doesn’t hurt to leave it out. Since acceptable weights are 3.5 ounces or less, and negative weights don’t make sense, the domain would be 0 < w ≤ 3.5. Suppose we notate Weight by w and Price by p, and set up a function named P, where Price, p is a function of Weight, w. The highest number is 17.When sending a letter through the United States Postal Service, the price depends upon the weight of the letter, as shown in the table below. It can help to put the numbers in order so we don't miss anything: 4, 4, 7, 8, 9, 14, 17įour appears twice and the rest of the numbers only appear once. Remember the mode is the number that appears the most. The mean is 9.įirst put the numbers in order: 4, 4, 7, 8, 9, 14, 17 Then divide 63 by the total number of data points, 7, and you get 9. The range is 25.Įxample problem finding mean, median, mode and range:įind the mean, median, mode and range of the following data set:įirst add the numbers up: 9+4+17+4+7+8+14 = 63 Then the rest of the scores don't matter for range. Let's say your best score all year was a 100 and your worst was a 75. Range - Range is the difference between the lowest number and the highest number. It's also the meanest because it take the most math to figure it out. Here are some tricks to help you remember: They all start with the letter M, so it can be hard to remember which is which sometimes. If all the numbers appear the same number of times, then the data set has no modes. If there are more than 2 then the data would be called multimodal. If there are two numbers that appear most often (and the same number of times) then the data has two modes. There are a few tricks to remember about mode: Mode - The mode is the number that appears the most. If there is an even number of data points, then you need to pick the two middle numbers, add them together, and divide by two. If there is an odd number of data points, then you will have just one middle number. To figure out the median you put all the numbers in order (highest to lowest or lowest to highest) and then pick the middle number. Median - The median is the middle number of the data set. This would give you the mean of the data. For example, if you have 12 numbers, you add them up and divide by 12. You can figure out the mean by adding up all the numbers in the data and then dividing by the number of numbers. Mean - When people say "average" they usually are talking about the mean. Together with range, they help describe the data. Mean, median, and mode are all types of averages. The term "average" is used a lot with data sets. When you get a big set of data there are all sorts of ways to mathematically describe the data.
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