stem and leaf display vs histogram advantages over

The decimal point is 1 digit(s) to the right of the | The stem and leaf plot of the above data would look like. The score 56 is plotted by placing the units digit 6, to the right of stem 5. Note that Each number is assigned to the graph (plot) by pairing the units digit, or leaf, with the correct stem. Put stem values on the left side of the vertical line (bar) and leaf values on the right side of the vertical line. Now the first digit is stem and the second one is a leaf, i.e stems are from 5 to 9 as data ranges from 56 to 99.ĭraw a vertical line separating stem from leaf. The origin of the stem and leaf plot is associated with Tukey, J.W (1977). Using a back-to-back stem and leaf plot we can compare the same characteristics into different groups. More than one data set can be compared by using multiple stem and leaf plots. Similarly, a stem and leaf plot is similar to a histogram but is usually provide more information for a relatively small data set. The advantage of the stem and leaf plot (display) over a frequency distribution is that we do not lose identity (individuality) of each observation. Did not know (sure) how the values within each class are distributed.Lose of the exact identity of each value (individuality of observation vanishes).

Organizing the data into a frequency distribution has a disadvantage of It provides information about the symmetry, concentration, empty sets and outlier of the observed data set. The stems are located along the vertical axis, and the leaf values are stacked against each other along the horizontal axis.Ī stem and leaf display is similar to a frequency distribution with more information. Stem values are the leading digit(s) and leaves are trailing digit. In this statistical technique (to present a set of data), each numerical value is divided into two parts

It is customary to sort the values within each stem from smallest to largest. The left side of the vertical line contains the stems while the right side of the vertical line contains the leaves. A basic stem and leaf display contains two columns separated by a vertical line. Stem and leaf plot are often used in exploratory data analysis, and help to illustrate the different features of the distribution of the observed data. For example, the 4 in the seventh row indicates that there are four observations in the last three rows.Before performing any statistical calculation (even the simplest one), data should be tabulated or plotted especially if they are of quantitative nature and are few in number (few observations) to visualize the shape of the distribution.Ī stem and leaf plot is a way of summarizing the set of data measured on an interval scale in condensed form. The depths following that row indicate the number of observations that lie in a given row or after. We thus know that the middle value lies in the fourth row. The row that contains the middle observation is denoted by having a bracketed number of observations in that row (7) for our example. For example, the 11 in the third row indicates that there are 11 observations in the first three rows. Starting from the top, the depths indicate the number of observations that lie in a given row or before.

The first column, called depths, are used to display cumulative frequencies. Stem-and-Leaf of weight of Jessica N = 30 Leaf Unit = 1.0 3 For example, the first value (also smallest value) is 132, it has a stem of 13 and 2 as the leaf. The table below shows her recorded weights in pounds.Ĭreate a Stem-and-Leaf Diagram for Jessica’s Weight. Jessica weighs herself every Saturday for the past 30 weeks.

Stem and leaf display vs histogram advantages over