Mean - Study Guide
The mean, also known as the average, is a measure of central tendency. It is calculated by adding up all the values in a set of numbers and then dividing by the total number of values.
Calculating the Mean
To calculate the mean of a set of numbers:
- Add up all the values in the set
- Count the total number of values in the set
- Divide the sum by the total number of values
Example
Let's calculate the mean of the following set of numbers: 5, 7, 11, 15, 21.
Step 1: Add up all the values: 5 + 7 + 11 + 15 + 21 = 59
Step 2: Count the total number of values: 5
Step 3: Divide the sum by the total number of values: 59 / 5 = 11.8
So, the mean of the set is 11.8
Study Tips
- Practice calculating the mean of different sets of numbers
- Understand the concept of central tendency and how the mean represents it
- Review real-life examples of when the mean is used, such as in sports statistics or financial reports
Summary
The mean is the average of a set of numbers, calculated by adding up all the values and then dividing by the total number of values.
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The resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.
Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Grade 4 Curriculum Focal Points (NCTM)
Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals
Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1, identifying equivalent decimals, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by comparing models to symbols and locating equivalent symbols on the number line.