Box and whisker plot calculator how to#

The spreads of the four quarters are 64.5 вЂ“ 59 = 5.5 (first quarter), 66 вЂ“ 64.5 = 1.5 (second quarter), 70 вЂ“ 66 = 4 (third quarter), and 77 вЂ“ 70 = 7 (fourth quarter).Each quarter has approximately 25% of the data.The following data are the heights of 40 students in a statistics class.ДҐ9 60 61 62 62 63 63 64 64 64 65 65 65 65 65 65 65 65 65 66 66 67 67 68 68 69 70 70 70 70 70 71 71 72 72 73 74 74 75 77Д¬onstruct a box plot with the following properties the calculator instructions for the minimum and maximum values as well as the quartiles follow the example. The box plot gives a good, quick picture of the data. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The вЂњwhiskersвЂќ extend from the ends of the box to the smallest and largest data values. Approximately the middle 50 percent of the data fall inside the box. The first quartile marks one end of the box and the third quartile marks the other end of the box. The smallest and largest data values label the endpoints of the axis. To construct a box plot, use a horizontal or vertical number line and a rectangular box. We use these values to compare how close other data values are to them. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. They also show how far the extreme values are from most of the data.

Recognize, describe, and calculate the measures of location of data: quartiles and percentiles.Д«ox plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data.

Display data graphically and interpret graphs: stemplots, histograms, and box plots.

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ThatвЂ™s all there is to it, so the next time youвЂ™re thinking of making a bar graph or a histogram, think about using TukeyвЂ™s beloved box-and-whisker plot too. Basically, it gives you a good overview of the dataвЂ™s distribution. 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. You can also see which way the data sways. 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 вЂњwhiskerвЂќ and dots. Take the top 50% of the group (1,426) who ate more hamburgers they are represented by everything above the median (the white line).

WeвЂ™ll sort those responses from least to greatest and then graph them with our box-and-whisker. LetвЂ™s say we ask 2,852 people (and they miraculously all respond) how many hamburgers theyвЂ™ve consumed in the past week. In any case, hereвЂ™s how you read a box plot.

Box and whisker plot calculator how to#

It could be that people donвЂ™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 IвЂ™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. Tukey, used to show the distribution of a dataset (at a glance). The box-and-whisker plot is an exploratory graphic, created by John W.