Grade 9 Data & Statistics Worksheets
Free printable data & statistics practice for Grade 9 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 9 Data & Statistics Practice
Solve each problem. Show your work.
- 1.Classify the correlation shown by (1, 3), (2, 5), (3, 8), (4, 10), (5, 13): _____
- 2.A school surveys only students leaving the gym about weekly exercise. Identify the sampling problem: _____
- 3.Find the median and range of 2, 3, 5, 8, 12: _____
- 4.Classify the correlation shown by (1, 16), (2, 13), (3, 11), (4, 8), (5, 5): _____
- 5.A school surveys only students leaving the gym about weekly exercise during team practice. Identify the sampling problem: _____
- 6.Find the median and range of 3, 4, 6, 9, 13: _____
Show answer key
- Question 1: strong positive correlation
- Question 2: selection bias; the sample is not representative
- Question 3: median 5; range 10
- Question 4: strong negative correlation
- Question 5: selection bias; the sample is not representative
- Question 6: median 6; range 10
Free Practice Worksheets
Print, solve on paper, then upload a photo for AI feedback and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Given a scatter plot with points (1, 2), (2, 4), and (3, 6), determine the correlation type (positive, negative, or no correlation).
- 2.A line of best fit has the equation y = 2x + 1. Calculate the value of y when x = 4.
- 3.A survey is conducted by asking only 5 people at a sports game about their favorite hobby. Identify the type of sampling bias present (voluntary response, convenience, or random).
- 4.Determine the slope (m) of a line of best fit that passes through the points (0, 0) and (5, 10).
- 5.If a data set has a correlation coefficient (r) of 0.95, does this represent a strong or weak relationship?
- 6.You are designing a survey about school lunches. Is it ethical to include a question that asks, 'Do you agree that the cafeteria food is unhealthy?' Explain why or why not in one word (Yes/No).
A selection of topic skills
Solve each problem. Show your work.
- 1.A scatter plot shows a strong negative correlation between the age of a car and its resale value. If you draw a line of best fit through the data, what does the slope of this line represent in the context of this real-world scenario?
- 2.A researcher wants to survey students about their study habits. They decide to survey only the students in the first row of the library. Explain why this sampling method is biased and suggest a more appropriate method for obtaining a representative sample.
- 3.A company claims that their new product increases energy levels based on a survey of 10 people who were already regular exercise enthusiasts. Discuss the ethical implications of using this data to market the product to the general public.
- 4.Given the data points (2, 10), (4, 15), and (6, 22), calculate the slope (m) of the line of best fit using the points (2, 10) and (6, 22). Then, determine the y-intercept (b) to write the equation in y = mx + b form.
- 5.A study tracks the relationship between hours spent practicing a musical instrument (x) and the score on a theory test (y). The line of best fit is y = 4.5x + 55. If a student practices for 8 hours, predict their test score using this linear model.
- 6.Evaluate the expression (3/4)² * (2³) and determine how this numeric value compares to the result of (1/2)^-2. Which value is larger?
What Your Child Will Learn
The Grade 9 data strand introduces students to the full cycle of statistical investigation: posing a question, collecting or sourcing data, organizing it, and drawing defensible conclusions. Students construct and interpret scatter plots, identify whether a relationship looks linear or non-linear, and describe correlation as strong, weak, positive, or negative — while learning the critical distinction that correlation does not imply causation.
Students draw a line of best fit by eye, use it to make predictions (interpolation and extrapolation), and evaluate how reliable those predictions are, especially when extrapolating far beyond the collected data. The unit also addresses bias in data collection and representation, asking students to critique graphs and surveys that mislead through scale manipulation, small sample sizes, or leading questions.
This strand builds directly on data literacy from earlier grades but adds a layer of critical evaluation appropriate for teenagers who are increasingly exposed to statistics in the news and on social media. It also lays groundwork for the probability and statistics work students may encounter again in Grade 12 Data Management.
Skills Covered
- Constructing and interpreting scatter plots
- Describing correlation (strength and direction) between variables
- Drawing a line of best fit and using it to interpolate and extrapolate
- Distinguishing correlation from causation
- Identifying bias in data collection, sampling, and graph design
- Summarizing and communicating conclusions from a data set
Curriculum Aligned: Part of the de-streamed Grade 9 math course (MTH1W in Ontario), covering the data strand focused on statistical investigation and critical data literacy.
Parent Tip: You don't need to remember the statistics to help here — ask your teen to show you a scatter plot from their homework and explain what story it tells. If they can describe the trend and flag anything suspicious about how the data was collected, they've grasped the point of the unit even if the calculations feel rusty to you.
What your child will practice
- Scatter Plots and CorrelationCreate scatter plots to examine relationships between two variables and identify correlation.
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Check my workFrequently Asked Questions
How often should my child practice data & statistics?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.