### Overview

The study of statistics is a branch of mathematics that deals with data collection. At this stage, their focus will be on asking questions, obtaining information, and arranging or presenting it so that they may reply to questions. The many types of data, methods for acquiring data, and strategies for organizing and displaying data should all be familiar to students at this stage. They will be required to summarize the facts so that they may be understood. It is not always required to draw a figure; instead, the average and spread may be determined mathematically. Numerical summaries may be used to compare different sets of data, but as with any statistical analysis, you must be careful how you interpret the results. Throughout this topic, students will increase their understanding of data presentation, mean, median, and mode, cumulative frequency, by comparing data sets, box plots, and scatter graphs.

### Learning Objectives

In this topic, students will learn how to:

- calculate the mean, median, and mode of sets of data
- calculate and interpret the range as a measure of spread
- interpret the meaning of each result and compare data using these measures
- construct and use frequency distribution tables for grouped data
- identify the class that contains the median of grouped data
- calculate and work with quartiles
- divide data into quartiles and calculate the interquartile range
- identify the modal class from a grouped frequency distribution.
- Construct and interpret box-and-whisker plots.

### Subtopics Covered

- Mean, median, mode, and range
- Collecting, displaying, and interpreting data
- Cumulative frequency