And to do this, I have to find my quotes all on my quotes, out three. Is it in its entirety? So the next step is to find out if there's any out lies. So this is my stem and leaf diagram representing the date. So on my stem have twenties, thirties, forties and fifties on The numbers on my leaf represent the actual numbers in my Chinese thirties, forties and fifties, so this five would represents 25. Here I am, given the height and feeds off 25 trees, and I'm asked to represent the state into the stem and leaf diagram, and so also find out if there's any out lies. The smaller it is the less is the variation.Problem, too. The length of the plot corresponds to the measure of variation of the data set.
This box-and-whiskers plot separates the data into quarters with the same number of data points in each par. Then we extend the whiskers from each quartile to the upper and lower extremes. The box has its sides at the LQ and the UQ and we display the median by drawing a line. To draw a box-and-whiskers plot begin by marking all the above mentioned values. The endpoints of the whiskers are the upper and lower extremes. It includes a box whose sides are at the LQ and the UQ with a line drawn somewhere in the middle corresponding to the median. The box-and-whiskers plot is drawn on a number line. Now we're going to introduce a second kind of plot namely the box-and-whiskers plot. It's hard to get a visualized measure of the variation when using the stem-and-leaf plot. The median is at (22 + 22)/2 = 22 and is marked by a box. Here is the stem-and-leaf plot that we made earlier in this section You can use a steam-and-leaf plot to find and display the median, the LQ and the UQ. The difference between the lower quartile and the upper quartile is called the interquartile range and corresponds to the 50% of the data points that are in the middle The LQ corresponds to 25% of your data, the median corresponds to 50% of the data and the UQ corresponds to 75% of the data. The other two values to remember are the lower quartile (LQ), which divides the lower 50% of the data points into two equally sized parts, and the upper quartile (UQ), that separates the higher 50% of the data points into two equally sized groups. The median divides the data into two equally sized parts with 50% of the data points on each side. The lowest and the highest values are our lower and upper extreme values. There are five important values to remember if you want to divide your data into quartiles. The quartiles separate the data into four equally sized parts.
When we are working with a larger set of data it is much easier to separate the data into quartiles. The bigger the range the bigger is the measure of variation.
When we calculate the measure of variation we first calculate the difference between the greatest and the lowest values.
#Find outliers on a stem plot series#
if we have the two number series A (10, 23, 50, 72, 90) and B (48, 49, 50, 51, 52) we can see that they both have the same median, but that there is a huge difference in variation. We then need to use the measure of variation e.g. We have already learned about the median, the mode and the mean but sometimes these don't fully describe a set of data.
On the left hand side of the line we write the numbers that corresponds to the tens, 12 has 1 in the tens place and 33 has 3 in the tens place. We begin by finding the lowest and the greatest number in the data set. This could for instance be the results from a math test taken by a group of students at the Mathplanet School.ġ3, 24, 22, 15, 33, 32, 12, 31, 26, 28, 14, 19, 20, 22, 31, 15 To set up a stem-and-leaf plot we follow some simple steps.įirst we have a set of data. A stem-and-leaf plot is used to visualize data. One way to measure and display data is to use a stem-and-leaf plot.
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