7th grade · Math · Unit 12 of 17
Mean, Median & Mode
What is typical?
What your child practices
Mean, median, mode and range, and how an outlier changes them.
Maine Learning Results learning standard: 7.SP.B.3; 7.SP.B.4 · 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 Maine
In the Maine Learning Results, this is unit 12 of 17 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.
Source: Maine Department of Education
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
What is the range of 4, 56, 22, 7, 32?
- 58
- 54
- 52
52
Hint: The range is the greatest value minus the least value.
Question 2
The data 10, 11, 13, 16, 17 get one more value: 102. Which measure changes the most?
- The median
- The mode
- They all change the same amount
- The mean
The mean
Hint: A value far from the others pulls the mean toward it. The median and mode barely move.
Question 3
What is the mode of 10, 9, 5, 7, 9, 8?
- 9
- 11
- 6
9
Hint: The mode is the value that appears most often.
Question 4
What is the mean of 12, 8, 7, 9?
- 12
- 9
- 10
9
Hint: Add all the numbers (36), then divide by how many there are (4).
Question 5
What is the median of 7, 11, 7, 2, 16, 17?
- 15
- 9
- 19
9
Hint: Put the numbers in order. With an even number of values, the median is halfway between the two middle ones.
Question 6
What is the median of 18, 2, 11, 18, 18?
- 20
- 18
- 23
18
Hint: Put the numbers in order. The median is the middle one.