Math Example--Measures of Central Tendency--Median: Example 28

Topic

Measures of Central Tendency

Description

This example demonstrates finding the median of the following set of numbers: 21, 49, 40, -39, 47, 25, 13, -35, -4, 1, 13, 1, 14, -34, -15, -12. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 7.

The concept of median is a fundamental measure of central tendency in statistics. It represents the middle value in a sorted dataset, providing a robust measure that is less affected by extreme values compared to the mean. This collection of examples helps teach the topic by illustrating the step-by-step process of finding the median for various datasets, including those with positive and negative numbers.

Presenting multiple worked-out examples is crucial for students to fully grasp the concept of median. By encountering different scenarios, such as datasets with even or odd numbers of values, positive and negative numbers, or widely spread values, students can develop a comprehensive understanding of how to calculate the median in various situations. This approach reinforces the procedure and helps students recognize patterns and nuances in median calculation.

Teacher Script: "Let's look at this set of numbers that includes both positive and negative values. Remember, our first step is always to arrange the numbers from least to greatest. Be careful with those negative numbers - they'll come first in our ordered list. Once we've sorted our numbers, we'll find the two middle values since we have an even number of terms. The average of these two middle numbers will give us our median. This example shows how the median can give us a sense of the middle of our data, even when we have numbers spread out over a wide range and on both sides of zero."

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