7th grade · Math · Unit 12 of 18
Mean, Median & Mode
What is typical?
What your child practices
Mean, median, mode and range, and how an outlier changes them.
Alabama Course of Study content standard: 7.11; 7.12 · comparing two data sets with measures of center and variability
How we explain it
Children can open this short lesson before they practice.
- Mean: add the values and divide by how many there are.
- Median: the middle value when the data is in order. Mode: the most common value.
- An outlier is a value far from the rest. It pulls the mean most.
Example: Find the median of 3, 9, 5, 7, 4. Put in order: 3, 4, 5, 7, 9. The middle value is 5. Answer: 5
Mean, Median & Mode in Alabama
In the Alabama Course of Study, this is unit 12 of 18 in 7th grade Math, after Dependent Events and before Multiply & Divide Signed Numbers.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
The data 11, 13, 15, 16, 17 get one more value: 85. Which measure changes the most?
- The mode
- The median
- The mean
- They all change the same amount
The mean
Hint: A value far from the others pulls the mean toward it. The median and mode barely move.
Question 2
What is the range of 13, 17, 22, 9, 48?
- 41
- 33
- 39
39
Hint: The range is the greatest value minus the least value.
Question 3
What is the mean of 13, 14, 20, 9, 19?
- 12
- 21
- 15
15
Hint: Add all the numbers (75), then divide by how many there are (5).
Question 4
What is the median of 17, 9, 12, 2, 4, 11?
- 4
- 10
- 20
10
Hint: Put the numbers in order. With an even number of values, the median is halfway between the two middle ones.
Question 5
What is the mode of 13, 3, 10, 7, 10, 9?
- 12
- 10
- 9
10
Hint: The mode is the value that appears most often.
Question 6
What is the mean of 15, 16, 5, 20, 9?
- 11
- 15
- 13
13
Hint: Add all the numbers (65), then divide by how many there are (5).