Median

The median is a measure of central tendency that represents the middle value of a data set when it is ordered from least to greatest. To find the median, you arrange the data in ascending order and then find the middle value. If the data set has an odd number of values, the median is the middle number. If the data set has an even number of values, the median is the average of the two middle numbers.

Finding the Median

To find the median of a data set, follow these steps:

1. Arrange the data in ascending order.
2. If the number of values is odd, the median is the middle number.
3. If the number of values is even, the median is the average of the two middle numbers.

Example:

Find the median of the following data set: 7, 2, 5, 8, 3, 9, 4

1. Arranging the data in ascending order: 2, 3, 4, 5, 7, 8, 9
2. The number of values is odd, so the median is the middle number, which is 5.

Study Guide

When studying the median, make sure to understand the following key points:

• The median represents the middle value of a data set.
• If the data set has an odd number of values, the median is the middle number.
• If the data set has an even number of values, the median is the average of the two middle numbers.
• To find the median, always arrange the data in ascending order first.

Practice finding the median of different data sets to improve your understanding of this concept. Additionally, be familiar with how to handle even and odd numbers of values when finding the median.

Remember to review and understand the steps for finding the median, as well as the key properties and characteristics of this measure of central tendency.

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