Mathematics
Grade 5
15 min
Mean, median, mode, and range
Mean, median, mode, and range
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define mean, median, mode, and range.
Calculate the mean of a given set of data.
Identify the median of a given set of data after ordering it.
Find the mode(s) of a given set of data.
Compute the range of a given set of data.
Apply mean, median, mode, and range to solve simple real-world problems.
Explain what each measure tells us about a data set.
Have you ever wondered how your teacher figures out the average score for a test, or what the most popular color in your class is? 🤔 We're about to unlock the secrets of understanding groups of numbers!
In this lesson, you'll learn four powerful ways to describe a set of numbers: the mean, median, mode, and range. These tools help us make sense of data, whether it's about sports scores, temp...
2
Key Concepts & Vocabulary
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 data set. You find it by adding all the numbers together and then dividing by how many numbers there are.For {2, 4, 6}, the mean is (2+4+6)/3 = 12/3 = 4.
MedianThe 'middle' number in a data set when the numbers are arranged in order from least to greatest. If there are two middle numbers, the median is the average of those two.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 data set. A data set can have one mode, more than one mode, or no mode at all.For {3, 5, 5, 7, 9}, the mode is 5. For {1, 2, 2, 3, 3}, the modes are...
3
Core Formulas
Calculating the Mean
$\text{Mean} = \frac{\text{Sum of all data values}}{\text{Number of data values}}$
To find the mean, first add up all the numbers in your data set. Then, count how many numbers there are in total. Finally, divide the sum by the count.
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.
The median gives you the central point of your data. Always remember to put your numbers in order first!
Identifying 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 number. There can be o...
4 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
Maria has test scores of 90, 95, and 100. What score does she need on her fourth test to have a mean score of 95?
A.95
B.92
C.100
D.85
Challenging
You have a data set of your classmates' ages. If your teacher's age is added to the data set, which two measures are most likely to change significantly?
A.Median and Mode
B.Mode and Range
C.Mean and Range
D.Mean and Median
Challenging
Which of the following data sets has a mean of 7, a median of 7, and a mode of 9?
A.5, 6, 7, 9, 9
B.3, 5, 7, 9, 9
C.7, 7, 7, 7, 7
D.1, 7, 7, 9, 9
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free