Enter the stem and leaf values into the calculator to determine the stem and leaf plot value; this calculator can also evaluate the stem or leaf value given the stem and leaf plot value is known.
Stem And Leaf Plot Formula
The following formula is used to calculate the stem and leaf plot:
SLP = (10 * s) + l
Variables:
- SLP is the stem and leaf plot value
- s is the stem value
- l is the leaf value
To calculate the stem and leaf plot value, multiply the stem value by 10 and add the leaf value.
What is a Stem And Leaf Plot?
A Stem and Leaf Plot is a type of graph used to represent statistical data in an organized way. It is particularly useful for displaying smaller data sets (up to 50 numbers) in a way that allows you to see the frequency distribution and shape of the data. The plot is divided into two sections: the stem and the leaf. The stem is the first digit or digits of a number, and the leaf is the last digit. For example, in the number 53, 5 would be the stem and 3 would be the leaf. The stems are listed in a vertical column to the left of the plot, and the leaves are listed in horizontal rows to the right of each corresponding stem. This arrangement allows for a quick visual interpretation of the data, showing the spread of scores, the range of scores, and the median score.
How to Calculate Stem And Leaf Plot?
The following steps outline how to create a stem and leaf plot:
- First, gather the data set that you want to represent in the stem and leaf plot.
- Next, separate each data point into a stem and a leaf. The stem represents the leading digit(s) of the data point, and the leaf represents the trailing digit(s).
- Arrange the stems in ascending order.
- Write the leaves corresponding to each stem in increasing order next to the respective stem.
- Create a key or legend to indicate the values represented by the stems and leaves.
Example Problem:
Use the following data set as an example problem to create a stem and leaf plot:
Data set: 12, 15, 18, 21, 23, 25, 27, 29, 32, 35, 38, 41, 43, 45, 47
Step 1: Separate the data into stems and leaves:
Stems: 1, 2, 3, 4
Leaves:
1: 2, 5, 8
2: 1, 3, 5, 7, 9
3: 2, 5, 8
4: 1, 3, 5, 7
Step 2: Arrange the stems in ascending order:
1, 2, 3, 4
Step 3: Write the leaves corresponding to each stem:
1: 2, 5, 8
2: 1, 3, 5, 7, 9
3: 2, 5, 8
4: 1, 3, 5, 7
Step 4: Create a key or legend:
Key:
1|2 = 12
1|5 = 15
1|8 = 18
2|1 = 21
2|3 = 23
2|5 = 25
2|7 = 27
2|9 = 29
3|2 = 32
3|5 = 35
3|8 = 38
4|1 = 41
4|3 = 43
4|5 = 45
4|7 = 47
