![]() Want to learn more about making data graphics? Become a member. That’s all there is to it, so the next time you’re thinking of making a bar graph or a histogram, think about using Tukey’s beloved box-and-whisker plot too. Basically, it gives you a good overview of the data’s distribution. Thus, the observations with values of 1.1 and 23.5 are both labeled as outliers in the box plot since they lie outside of the lower and upper boundaries. Mean: it is the average that we’ve been calculating since school, diving the total sum of all the values by the number of values. ![]() ![]() For example, if there are more people who eat a lot of burgers than eat a few, the median is going to be higher or the top whisker could be longer than the bottom one. The whiskers for the minimum and maximum values in the box plot are placed at 2.85 and 23.25. These plots contain the range, interquartile range, median, lower value, upper value, lower quartile and upper. You can also see which way the data sways. Box-and-whisker plots are a really effective way to display lots of information. The box-and-whisker of course shows you more than just four split groups. If more than one outlier ate the same number of hamburgers, dots are placed side by side. Dots represent those who ate a lot more than normal or a lot less than normal (outliers). Those in the top 25% of hamburger eating (713) are shown by the top “whisker” and dots. A box and whisker plot is a representation of statistical data that displays information about the distribution of the values. The x in the box represents the mean (also 8 in this example). Take the top 50% of the group (1,426) who ate more hamburgers they are represented by everything above the median (the white line). Result: Explanation: the middle line of the box represents the median or middle number (8). We’ll sort those responses from least to greatest and then graph them with our box-and-whisker. Let’s say we ask 2,852 people (and they miraculously all respond) how many hamburgers they’ve consumed in the past week. In any case, here’s how you read a box plot. It could be that people don’t know about it or maybe are clueless on how to interpret it. The box plot, although very useful, seems to get lost in areas outside of Statistics, but I’m not sure why. Think of the type of data you might use a histogram with, and the box-and-whisker (or box plot, for short) could probably be useful. We can show all the important values in a 'Box and Whisker Plot', like this: A final example covering everything: Example: Box and Whisker Plot and Interquartile Range for. The data represented in box and whisker plot format can be seen in Figure 1. Tukey, used to show the distribution of a dataset (at a glance). Note: For a data set with an even number of values, the median is calculated as the average of the two middle values. The box-and-whisker plot is an exploratory graphic, created by John W.
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