Calculating the Mean (The Average)
The mean (average) represents a fair share of data: add all values together, then divide by the count of values. Five test scores of 85, 90, 75, 88, and 82 have a sum of 420 and a mean of 420 divided by 5 = 84. Conceptually, the mean is the balance point of the data — values below and above the mean are perfectly offset. This core calculation from Reveal Math, Course 1, Module 10 is the most commonly used measure of center in 6th grade statistics.
Key Concepts
The most common measure of center is the mean , often referred to simply as the "average." It represents a fair share of the total. To compute the mean: 1. Add up all the data values to find the total sum. 2. Divide that sum by the number of data values (N). Mean = (Sum of all data values) / N.
Common Questions
What is the mean in statistics?
The mean is the sum of all data values divided by the number of values. It represents a fair share — the amount each value would get if the total were distributed equally.
How do I calculate the mean step by step?
Add all data values together to find the sum. Then divide the sum by the number of values. Mean = sum divided by n.
Five quiz scores are 80, 85, 90, 75, 70. What is the mean?
Sum = 80+85+90+75+70 = 400. Mean = 400 divided by 5 = 80.
What does it mean for the mean to be the balance point of data?
The mean is positioned so that the total distance of values below it equals the total distance of values above it, like a seesaw perfectly balanced in the middle.
Why do we use the mean as a measure of center?
The mean uses every value in the data set, making it sensitive to the entire distribution. It works best when the data is symmetric and has no extreme outliers.
When do 6th graders learn to calculate the mean?
Module 10 of Reveal Math, Course 1 covers the mean in the Statistical Measures and Displays unit.