Math Example--Measures of Central Tendency--Median: Example 33

Topic

Measures of Central Tendency

Description

This example illustrates the process of finding the median for the set of numbers: -22, 30, -39, 46, 50, 27, -42, -15, 15, -14, 47, -31, 21, -2, -27, -9, -22, -9. 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 -4.5.

Understanding the median is crucial in statistics as it provides a measure of central tendency that is not influenced by extreme values. This collection of examples helps teach the concept by presenting various scenarios, allowing students to practice the step-by-step process of finding the median for different datasets, including those with positive and negative numbers.

Multiple worked-out examples are vital for students to fully comprehend the concept of median. By encountering diverse datasets, including those with even and odd numbers of values, positive and negative numbers, students can reinforce their understanding of the procedure and develop the ability to apply it in various situations. This approach helps students recognize patterns and nuances in median calculation, enhancing their overall statistical literacy.

Teacher Script: "Now, let's examine this interesting set of numbers that includes both positive and negative values. Remember, when finding the median, we always start by arranging our numbers from least to greatest. In this case, we need to be careful with our negative numbers. Once we've ordered 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 help us understand the center of our data, even when we have a mix of positive and negative numbers."

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.