Math Example--Measures of Central Tendency--Weighted Mean--Example 4

Topic

Measures of Central Tendency

Description

This example illustrates the calculation of a weighted mean for a data set containing mostly negative values: -3, 2, and -5, with weights of 4, 3, and 5 respectively. The weighted mean is computed using the formula: (4 * -3 + 3 * 2 + 5 * -5) / (4 + 3 + 5), resulting in a final answer of approximately -2.133.

Weighted mean is a crucial concept in measures of central tendency, allowing for the consideration of the relative importance or frequency of each data point, even when dealing with predominantly negative values. This collection of examples helps teach this topic by providing varied scenarios and data sets, enabling students to practice and understand the application of the weighted mean formula in different contexts, including those with mostly negative numbers.

Presenting multiple worked-out examples is essential for students to fully comprehend the concept of weighted mean. By observing the formula applied to diverse situations, including those with predominantly negative numbers, students can develop a deeper understanding of how weights influence the final average and how to interpret the results in real-world scenarios that may involve negative values.

Teacher's Script: In this example, we're calculating a weighted mean with mostly negative numbers. How does this affect our result compared to the previous examples? Can you think of a real-life situation where we might need to calculate a weighted mean with negative values?

For a complete collection of math examples related to Measures of Central Tendency click on this link: Math Examples: Measures of Central Tendency: Weighted Mean Collection.