7th grade · Math · Unit 11 of 20
Mean, Median & Mode
What is typical?
What your child practices
Mean, median, mode and range, and how an outlier changes them.
New York State Learning Standards learning standard: NY-7.SP.3; NY-7.SP.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 New York
In the New York State Learning Standards, this is unit 11 of 20 in 7th grade Math, after Dependent Events and before Center & Spread.
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
What is the range of 26, 52, 12, 40, 11?
- 41
- 36
- 39
41
Hint: The range is the greatest value minus the least value.
Question 2
What is the mode of 6, 11, 6, 2, 12, 4?
- 4
- 2
- 6
6
Hint: The mode is the value that appears most often.
Question 3
What is the mean of 7, 8, 9, 12?
- 3
- 9
- 10
9
Hint: Add all the numbers (36), then divide by how many there are (4).
Question 4
What is the median of 10, 11, 7, 12, 3?
- 0
- 6
- 10
10
Hint: Put the numbers in order. The median is the middle one.
Question 5
What is the median of 20, 18, 3, 3, 2?
- 3
- 6
- 4
3
Hint: Put the numbers in order. The median is the middle one.
Question 6
The data 13, 14, 15, 16, 17 get one more value: 85. Which measure changes the most?
- The mode
- They all change the same amount
- The mean
- The median
The mean
Hint: A value far from the others pulls the mean toward it. The median and mode barely move.