Probability and Statistics Lab
Counting, chance, spread and the normal curve with real data pictures.
Probability and Statistics Lab starts with counting, using the multiplication rule and then permutations and combinations with small, friendly numbers. It moves on to probability rules, including complements, the addition rule, independence and conditional probability, and then reads probabilities out of two-way tables and tree diagrams.
The second half is about data. Students find the mean, median, mode and range, build a five-number summary, read box plots and test for outliers. They also compute a standard deviation for a small set, use z-scores with the 68-95-99.7 rule, and read a scatterplot with its regression line to make predictions and find residuals.
What children practice
- Count outcomes with the multiplication rule
- Tell permutations from combinations and compute small cases
- Use complements, the addition rule, independence and conditional probability
- Read probabilities from two-way tables and tree diagrams
- Find medians, quartiles, outliers and a standard deviation for a small set
- Use z-scores, the 68-95-99.7 rule and a regression line for predictions and residuals
Levels
- Level 1: Counting
- Level 2: Arrangements
- Level 3: Probability rules
- Level 4: Two-way tables
- Level 5: Tree diagrams
- Level 6: Center and spread
- Level 7: z-scores and normal
- Level 8: Scatterplots and mix
How it works
- Eight levels run from counting to scatterplots, and the final level also mixes in the earlier skills.
- Tables, trees, plots and graphs are drawn from the same numbers as the question, so the picture always agrees.
- Moving up needs five right answers and a finished practice timer on the level before.
- The prompt says whether to answer with a fraction, a decimal or a percent, and the standard deviation questions are built to come out exact.
Best for: A good fit for grades 9 to 12 in Algebra, Geometry or a statistics course, when students need practice linking chance and data to pictures.
Tip for parents: Roll two dice a few dozen times together and keep a tally. Ask your child to predict the most common total first, then compare the prediction with the tally.
Questions parents ask
Which standard deviation does the game use?
For a small set it uses the population standard deviation, dividing by the number of values, and each prompt says so. Every set is built to give an exact answer.
How does it decide what counts as an outlier?
It uses the 1.5 times IQR fences. Quartiles are the medians of the lower and upper halves, leaving out the median when the number of values is odd.
Is regression part of it?
Level 8 shows a scatterplot with a stated regression line. Students make a prediction and find a residual, which is the actual value minus the predicted value.
Ready to try it?
Probability and Statistics Lab is free with a parent account. A parent adds a child profile, and the child's progress is saved.