The world is continually flooded with data.
In an attempt to understand the world, statisticians analyze data.
Statistics is the collecting, organizing, analyzing, and
interpreting data in order to make decisions.

Statistics is more than simply another branch of mathematics.
Statistics is a bridge that connects mathematics, science and social science.
An interesting feature of statistics, is that there may be more than one correct answer.
It is this variability of correct answers that leads to the procedures used in statistics.
You are already familiar with many of the practices of statistics.
In this unit, we will embellish those practices and introduce new concepts.

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When dealing with statistics in relation to real data, research suggests that the process of creating and solving statistical problems is best accomplished when the following four steps are followed:

bullet Four-Step Statistical Process:

1. Plan (Ask a question): formulate a statistical question that can be answered with data. A good deal of time should be given to this step as it is the most important step in the process.

Statistical Questions:
"How tall are the students in my class?"
"How many M&M are in each package?"
"How old are the students in Mrs. Smith's class?"
There will be a variety of correct answers to each of the questions listed above.
Statistical questions anticipate variability in the answers.

Statistical questions expect the
correct answers to be different.
Not a statistical question: "How old is John?"


2. Collect (Produce Data): design and implement a plan to collect appropriate data. Data can be collected through numerous methods, such as observations, interviews, questionnaires, databases, samplings or experimentation. Randomly collected data will yield the most reliable results and avoid bias.


3. Process (Analyze the Data): organize and summarize the data by graphical or numerical methods. Graph numerical data using histograms, dot plots, and/or box plots, and analyze the strengths and weaknesses. It is important to present data as a visual representation that shows relationships, patterns, and trends. Make a graph!

4. Discuss (Interpret the Results): interpret your finding from the analysis of the data, in the context of the original problem. Give an interpretation of how the data answers your original questions. The data collected will have a "distribution" which can be described by its center, spread, and overall shape. Use a graph or picture to illustrate what is happening!



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