Descriptive Statistics and Stem and Leaf Diagrams
Stem and Leaf Diagrams
For data that we want to understand how it looks without losing the individual data points, we use a stem and leaf diagram. To construct a stem and leaf diagram, we put the first digit or more (the stem) on the left and that digit's corresponding list (leaf) on the right. We can also have the high and low of the digit. If we want to compare two data sets we can draw the digits in the middle, the first set of leaves on the right, and the second set of leaves on the left. This is useful for comparing two data sets. A comparative stem and leaf diagram is often used. The middle represents the stems, and the left and right sides are the leaves of each of the two data sets.
12, 14, 14, 17, 21, 24, 24, 25, 25, 26,
26, 27, 29, 31, 34, 35, 36, 39, 40, 42,
42, 45, 46, 47, 49, 49, 56, 59, 62.
We can put this data into a stem and leaf diagram as shown below. The first digit represents the stem and the second digit represents the leaf. The stem is written on the left hand side (once per value) and the leaf is written on the right hand side next to the corresponding stem.
2 4 4 7