Calculate: mean, median, mode, and range

Learning Objectives Define mean, median, mode, and range. Calculate the mean of a given set of data. Identify and calculate the median of a given set of data. Determine the mode of a given set of data. Calculate the range of a given set of data. Apply these statistical measures to solve simple real-world problems. Organize data effectively to find its central tendency and spread. Have you ever wondered how your teacher figures out the average score for a test, or what the most common shoe size is in your class? 👟 Let's discover the math behind understanding groups of numbers! In this lesson, you'll learn how to calculate four important ways to describe a set of numbers: the mean, median, mode, and range. These tools help us make sense of data, whether it's...

TermDefinitionExample Data SetA collection of numbers or information gathered about something.The ages of students in a club: {10, 11, 10, 12, 11} MeanThe average of a set of numbers. You find it by adding all the numbers together and then dividing by how many numbers there are.For {2, 3, 7}, the mean is (2+3+7) / 3 = 12 / 3 = 4. MedianThe middle number in a set of data when the numbers are arranged in order from least to greatest. If there are two middle numbers, the median is their average.For {2, 5, 8, 10, 12}, the median is 8. For {2, 5, 8, 10}, the median is (5+8)/2 = 6.5. ModeThe number that appears most often in a set of data. A data set can have one mode, many modes, or no mode.For {3, 5, 5, 7, 9}, the mode is 5. For {2, 2, 4, 4, 6}, the modes are 2 and 4. RangeThe difference betw...

Calculating the Mean $\text{Mean} = \frac{\text{Sum of all data values}}{\text{Number of data values}}$ Add up all the numbers in your data set, then divide that sum by how many numbers you added together. This gives you the average. Finding the Median 1. Order the data from least to greatest. 2. Find the middle value. If there's an odd number of values, it's the single middle number. If there's an even number, it's the average of the two middle numbers. Always arrange your numbers first! Then, count in from both ends to find the center. If you have two middle numbers, add them and divide by 2. Determining the Mode The mode is the value that appears most frequently in the data set. Look for the number that shows up more times than any other numbe...