7th grade · Math · Unit 11 of 16
Mean, Median & Mode
What is typical?
What your child practices
Mean, median, mode and range, and how an outlier changes them.
Arizona Academic Standards 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 Arizona
In the Arizona Academic Standards, this is unit 11 of 16 in 7th grade Math, after Algebra Moves 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: Arizona 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 9, 28, 57, 30, 21?
- 42
- 48
- 46
48
Hint: The range is the greatest value minus the least value.
Question 2
What is the median of 5, 18, 9, 7, 3, 12?
- 14
- 8
- 7
8
Hint: Put the numbers in order. With an even number of values, the median is halfway between the two middle ones.
Question 3
What is the median of 6, 2, 20, 10, 6, 12?
- 8
- 11
- 6
8
Hint: Put the numbers in order. With an even number of values, the median is halfway between the two middle ones.
Question 4
What is the mean of 14, 14, 5, 6, 6?
- 9
- 10
- 13
9
Hint: Add all the numbers (45), then divide by how many there are (5).
Question 5
Which value is an outlier in 12, 17, 11, 18, 72, 10?
- 11
- 10
- 12
- 72
72
Hint: An outlier is far away from the other values in the data set.
Question 6
What is the mean of 19, 14, 20, 5, 22?
- 21
- 11
- 16
16
Hint: Add all the numbers (80), then divide by how many there are (5).