Stem & Leaf and Scatter Plots

A stem-and-leaf plot is a method of displaying quantitative data in a graphical format, similar to a histogram, to retain the original data values while showing their distribution.

To create a stem-and-leaf plot, separate each data point into a 'stem' (the leading digit or digits) and a 'leaf' (the trailing digit). List the stems in a vertical column and write the leaves next to their corresponding stems.

A scatter plot is a graph that shows the relationship between two quantitative variables, with each point representing an observation.

Correlation refers to the strength and direction of a linear relationship between two variables in a scatter plot. It can be positive, negative, or no correlation.

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

No correlation means there is no discernible relationship between the two variables; changes in one variable do not predict changes in the other.

The slope of a scatter plot indicates the direction and steepness of the relationship between the two variables. A positive slope indicates a positive correlation, while a negative slope indicates a negative correlation.

The purpose of using a stem-and-leaf plot is to organize and display data while preserving the original values, making it easier to identify patterns and distributions.

The mode is the value that appears most frequently in a data set. In a stem-and-leaf plot, it can be identified by looking for the stem with the most leaves.