8th grade · Math · Unit 6 of 17
Scatter Plots & Stories
Two-variable data and misleading graphs
What your child practices
Deciding when two-variable data is needed, picking the best graph, describing scatter plots as strong, weak, positive, negative or none, spotting outliers, and noticing graphs that mislead.
Alaska content standards learning standard: 8.SP.1; 8.SP.2 · scatter plots and patterns of association
How we explain it
Children can open this short lesson before they practice.
- A scatter plot shows two sets of data as points.
- Points that rise together show a positive relationship.
- A point far from the pattern is an outlier.
Example: As study time goes up, test scores go up. What kind of relationship is that? Both values rise together. That is a positive relationship. Answer: Positive
Scatter Plots & Stories in Alaska
In the Alaska content standards, this is unit 6 of 17 in 8th grade Math, after Big, Small & Real Numbers and before Tessellations & Transformations.
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: Alaska Department of Education and Early Development
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
Which variable is continuous?
- the height of a plant
- the number of leaves on a plant
- the number of plants on a shelf
- the number of flowers that open
the height of a plant
Hint: Heights can be measured to any precision, so they are continuous.
Question 2
All of the points but one lie on a line. Which point is the outlier?
Points on a scatter plot x y 1 5 2 9 3 31 4 17 5 21 6 25 - (2, 9)
- (4, 17)
- (3, 31)
- (1, 5)
(3, 31)
Hint: An outlier does not fit the pattern of the other points. Find the point that is far from the line the others make.
Question 3
A bar graph's vertical axis starts at 90 instead of 0. What effect can this have?
- Large differences look smaller than they are.
- Small differences look much larger than they are.
- The bars become impossible to compare.
- It has no effect on how the graph looks.
Small differences look much larger than they are.
Hint: A bar's height should match its value. Cutting off the bottom exaggerates differences.
Question 4
Every graph should show…
- only the data points
- the most colorful design
- the largest values at the left
- a title, labeled axes, a suitable scale and a source
a title, labeled axes, a suitable scale and a source
Hint: These features let readers understand and trust the graph.
Question 5
On a scatter plot, as the x-values increase, the y-values go up too. The points are loosely scattered around a line. How would you describe the relationship?
- strong positive
- weak negative
- weak positive
- strong negative
weak positive
Hint: Positive means both go up together; negative means one goes up as the other goes down. Strong means the points are close to a line.
Question 6
Which graph is best for showing how height and arm span are related for 30 students?
- a circle graph
- a scatter plot
- a pictograph
- a bar graph of the heights only
a scatter plot
Hint: A scatter plot shows two numerical variables as points, so you can look for a relationship.