Average
Calculate the average or mean of a data set in Grade 6 math by adding all values and dividing by the count — apply this measure of center to solve real-world data problems.
Key Concepts
New Concept An average is a central value for a set of numbers, found by making groups equal. A line graph displays data as points connected by lines, often showing change over time. What’s next This is your introduction to these concepts. Next, you’ll tackle worked examples on calculating averages and interpreting data from line graphs to solve problems.
Common Questions
How do you calculate the average of a data set?
Add all the values in the data set together, then divide by the total count of values. For example, the average of 4, 6, and 8 is found by adding 4 plus 6 plus 8 to get 18, then dividing by 3 to get 6.
What does the average tell you about a data set?
The average shows the fair share value — what each person would get if everything were distributed equally. It is a measure of center that summarizes the entire data set with one representative number.
What is the difference between mean, median, and mode?
Mean is the average found by sum divided by count. Median is the middle value when data is ordered. Mode is the most frequent value. All three are measures of center but work best in different situations.
Can the average be a number not in the data set?
Yes. For example, the average of 3 and 4 is 3.5, which is not in the set. The average is a calculated value representing the center of the data, not necessarily one of the original data points themselves.