## Learning Math: Data Analysis, Statistics, and Probability

# Describing Distributions

## Continue learning about organizing and grouping data in different graphs and tables. Learn how to analyze and interpret variation in data by using stem and leaf plots and histograms. Learn about relative and cumulative frequency.

**In This Session**

**Part A:**Organizing Data in a Stem and Leaf Plot

**Part B:**Histograms

**Part C:**Relative and Cumulative Frequencies

**Part D:**Ordering Hats

Homework

In the previous session, you saw how different ways of representing data — such as line plots, bar graphs, frequency and relative frequency tables, and cumulative frequency and relative cumulative frequency tables — allowed you to provide better answers to statistical questions.

We also examined how to answer statistical questions when there is variation in data. One idea was to express your answer as an interval, such as the interval in which all of the data are located or an interval with a concentration of data. Another method was to use a “typical” value to represent all the values in your data set, such as the mode or the median.

In this session, you will investigate some approaches to grouping data in graphs and tables, and you will examine different types of statistical answers to questions based on these grouped representations.

### Learning Objectives

In this session, you will learn how to do the following:

- Organize data in a stem and leaf plot
- Group the data from a stem and leaf plot
- Complete a frequency and relative frequency table for your grouped data
- Create a frequency and relative frequency histogram for your grouped data
- Complete a cumulative frequency and relative cumulative frequency table for your grouped data

### Key Terms

**Previously Introduced:**

cumulative frequency

discrete data

frequency

interval

line plot

median

mode

relative frequency

variation

**New in This Session:**

continuous variable

grouped frequency table

histogram

relative cumulative frequency histogram

relative frequency histogram

stem and leaf plot