8th grade · Math · Unit 5 of 11
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.
Minnesota K-12 Academic Standards benchmark: 8.1.1.2; 8.1.1.3 · scatter plots and lines that model a pattern
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 Minnesota
In the Minnesota K-12 Academic Standards, this is unit 5 of 11 in 8th grade Math, after Big, Small & Real Numbers and before Tables, Graphs & Linear Relations.
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
All of the points but one lie on a line. Which point is the outlier?
Points on a scatter plot x y 1 3 2 5 3 7 4 -10 5 11 6 13 - (3, 7)
- (2, 5)
- (4, −10)
- (1, 3)
(4, −10)
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 2
Which graph is best for showing what part of a monthly budget goes to each category?
- a circle graph
- a line graph
- a histogram
- a scatter plot
a circle graph
Hint: A circle graph shows parts of a whole.
Question 3
Which question needs two-variable data?
- How does a plant's height change with the hours of sunlight it gets?
- What color is each car in the parking lot?
- How many students ride the bus each day?
How does a plant's height change with the hours of sunlight it gets?
Hint: One-variable data describes one thing for each person or object. Two-variable data pairs two measurements to look for a relationship.
Question 4
Which variable is continuous?
- the number of apples in a bag
- the number of seeds in an apple
- the number of trees in an orchard
- the mass of an apple
the mass of an apple
Hint: You measure continuous data. You count discrete data.
Question 5
A line graph uses a very stretched vertical scale. What can this do?
- Make the data more accurate.
- Turn the data into a circle graph.
- Make a small change look dramatic.
- Hide every change in the data.
Make a small change look dramatic.
Hint: Stretching a scale makes small changes look steep.
Question 6
Which best describes the relationship between the number of hours spent reading and the length of a person's arm?
- a positive relationship
- no relationship
- a negative relationship
no relationship
Hint: Ask: as one goes up, what does the other tend to do? If nothing, there is no relationship.