How do you find the median, mode, and range of a data set in mathematics?

In mathematics, the median, mode, and range are measures of central tendency and measures of dispersion of a data set, respectively. To find the median of a data set, you need to order the data from least to greatest and find the middle value. If the data set has an even number of values, the median is the average of the two middle values. To find the mode, you need to identify the value that occurs most frequently in the data set. Finally, to find the range, you need to subtract the smallest value in the data set from the largest value in the data set.

These three measures are useful for summarizing a data set and providing insights into its characteristics. They can help you to identify the most common value in the data set (mode), the central value around which the data is clustered (median), and the spread of the data around the central value (range).

To find the median of a data set, first arrange the data in increasing or decreasing order. If the number of terms in the data set is odd, the median is the middle term. If the number of terms is even, the median is the average of the two middle terms.

To find the mode of a data set, count the number of times each term appears. The term that appears the most times is the mode. It is possible for a data set to have more than one mode.

To find the range of a data set, find the difference between the largest and smallest terms.

For example, let's say we have the data set {1, 2, 3, 4, 5}.

The median is 3.

The mode is 1.

The range is 4 (5 - 1 = 4).

Here are some additional notes about mean, median, and mode:

• The mean is the most commonly used measure of central tendency, but it can be influenced by outliers.
• The median is not affected by outliers, but it can be less informative than the mean for some data sets.
• The mode is the least commonly used measure of central tendency, but it can be useful for identifying the most common value in a data set.

Let me know if you have any other questions.