Stem+and+Leaf+Plots

=Stem and Leaf Plots=

A stem-and-leaf plot is a display that organizes data to show its shape and distribution. || A stem and leaf plot is a method used to organize statistical data. The greatest common place value of the data is used to form the stem. The next greatest common place value is used to form the leaves I A Stem and Leaf Plot is a type of graph that is similar to a histogram but shows more information. The Stem-and-Leaf Plot summarizes a set of data and provides extra detail regarding individual values. The digits in the largest place are referred to as the stem and the digits in the smallest place are referred to as the leaf (leaves). The leaves are displayed to the right of the stem.  In a stem-and-leaf plot each data value is split into a "** stem **" and a " **leaf** ". The "** leaf **" is usually the last digit of the number and the other digits to the left of the "leaf" form the " **stem** ". The number 13 would be split as:  **What Are They Used For?**
 * [[image:http://regentsprep.org/regents/math/madtree.gif width="230" height="272"]] || **Data can be displayed in many ways. One method of displaying a set of data is with a stem-and-leaf plot.**
 * ** stem ** || 1 ||
 * ** leaf ** || 3 ||

 They are usually used when there are large amounts of numbers to analyze. Series of scores on sports teams, series of temperatures or rainfall over a period of time, series of classroom test scores are examples of when Stem and Leaf Plots could be used.


 * What Does a Stem and Leaf Look Like? **

//Example://
 * **Test Scores Out Of 100 ** ||
 * ** Stem ** || ** Leaf  ** ||
 * 9 || 2 2 6 8 ||
 * 8 || 3 5 ||
 * 7 || 2 4 6 8 8 9 ||
 * <span style="font-family: Verdana,Arial,Helvetica,sans-serif;">6 || <span style="font-family: Verdana,Arial,Helvetica,sans-serif;">1 4 4 7 8 ||
 * <span style="font-family: Verdana,Arial,Helvetica,sans-serif;">5 || <span style="font-family: Verdana,Arial,Helvetica,sans-serif;">0 0 2 8 8 ||
 * <span style="font-family: Verdana,Arial,Helvetica,sans-serif;">What does this Stem and Leaf Plot Show? **

<span style="font-family: Verdana,Arial,Helvetica,sans-serif;"> The Stem shows the 'tens' and the leaf. At a glance, one can see that 4 students got a mark in the 90's on their test out of 100. Two students received the same mark of 92. No marks were received below 50. No mark of 100 was received. When you count the total amount of leaves, you know how many students took the test. The information is nicely organized when a Stem and Leaf Plot is used. Stem and Leaf Plots provide an 'at a glance' tool for specific information in large sets of data, otherwise one would have a long list of marks to sift through and analyze. ** Steps for constructing a stem-and-leaf plot:  **
 * The data: ** Math test scores out of 50 points: 35, 36, 38, 40, 42, 42, 44, 45, 45, 47, 48, 49, 50, 50, 50.

|| ** Stem ** || ** Leaf ** ||
 * Writing the data in numerical order may help to organize the data, but is NOT a required step. Ordering can be done later. || 35, 36, 38, 40, 42, 42, 44, 45, 45, 47, 48, 49, 50, 50, 50 ||
 * Separate each number into a stem and a leaf. Since these are two digit numbers, the tens digit is the stem and the units digit is the leaf . || The number 38 would be represented as
 * 3 || 8 ||
 * Group the numbers with the same stems. List the stems in numerical order. (If your leaf values are not in increasing order, order them now.) Title the graph. || |||| **Math Test Scores**
 * (out of 50 pts)** ||
 * ** Stem ** || ** Leaf ** ||
 * 3 || 5 6 8 ||
 * 4 || 0 2 2 4 5 5 7 8 9 ||
 * 5 || 0 0 0 ||
 * 5 || 0 0 0 ||
 * The leaf is the digit in the place farthest to the right in the number, and the stem is the digit, or digits, in the number that remain when the leaf is dropped.
 * To show a one-digit number (such as 9) using a stem-and-leaf plot, use a stem of 0 and a leaf of 9.
 * To show a one-digit number (such as 9) using a stem-and-leaf plot, use a stem of 0 and a leaf of 9.

A stem-and-leaf plot shows the shape and distribution of data. It can be clearly seen in the diagram above that the data clusters around the row with a stem of 4 <span style="font-family: Verdana,Arial,Helvetica,sans-serif;"> This is further explained in the following video: How to Make a Stem and Leaf Plot media type="youtube" key="_7m0Q_m2ppg?feature=player_embedded" height="360" width="640" To find the median in a stem-and-leaf plot, count off half the total number of leaves. <span style="font-family: Verdana,Arial,Helvetica,sans-serif;">

Online Stem and Leaf Maker The above online Stem and Leaf maker is from Mr Nussbaum’s web site. Put the item values in one by one, which is a bit slow, and then when ready click “Create Graph”. This online maker only does Groups of Ten S&L Plots.

It also does not include “empty” stems, which have no data values in their range. Click the following link to use this free S&L maker. @http://www.mrnussbaum.com/graph/sl.htm

Advanced Online Stem and Leaf Maker This S&L maker does Mean, Median etc, and if we tick the box “Split Stems in Two”, it even does a Groups of Five stem and leaf plot. The example S&L Plot shown above is a Groups of Five Plot. Click the following link to use this free S&L maker. @http://www.calculatorsoup.com/calculators/statistics/stemleaf.php