Parts of a Box and Whisker Plot (Box Plot) | Math with Mr. J

welcome to math with Mr Jay [Music] in this video I'm going to cover the parts of a box and whisker plot also called a box plot so we will go through what each part of a box and whisker plot represents now boxing whisker plots are used to display data and the spread of that data they provide a visual when it comes to box and whisker plots there are five key Parts which we can call the five number summary of a data set this includes the minimum the first quartile the median the third quartile and the maximum let's jump into our example and go over these parts of a box and whisker plot for our example the box and whisker plot is displaying data about a specific student's scores on math tests throughout the year and this is based on the percent earned on those tests let's start by finding the minimum and maximum so we're going to start on the outside and work our way in now the minimum and maximum are just the smallest and largest numbers in value within the data set this part of the box and whiskerplot is going to be the minimum and then this part is going to be the maximum the minimum in this example is 78 so 78 percent was the lowest score that that student had throughout the year the maximum in this example is 94. so 94 percent was the highest score that that student had throughout the year now let's work our way into the outside of the box the outside of the rectangle this part of the Box represents the first quartile also called the lower quartile this is the 25 percent Mark or 1 4 Mark within the data the 25th percentile and then this part of the box is the third quartile also called the upper quartile so this is the 75 percent Mark or 3 4 Mark within the data the 75th percentile so the first quartile or lower quartile in this example is 82. the third quartile or upper quartile in this example is 80 eight and then lastly let's look inside the Box inside the rectangle this line right here represents the median now the median is also called the second quartile this is the 50 percent or halfway mark within the data the 50th percentile the median in this example is 86. so there you have it there are the five parts of a box and whisker plot we have the minimum and maximum so the whiskers extend from the box to the minimum and maximum and then we have the lower quartile and upper quartile so the first quartile and third quartile and then we have the median now that was a fairly quick review of the parts of a box and whisker plot I do have another video where I go into more detail that link is in the description if you'd like another example or a more detailed explanation I hope that helped thanks so much for watching until next time peace foreign