Statistics & Probability Worksheets

Read a picture graph with up to three categories where one picture stands for one thing, and answer how-many, how-many-more and total questions.

Read a bar graph with up to three categories on a single-unit scale, and answer how-many, how-many-more, most/least and total questions.

Count a set of tally marks (drawn in groups of five) and write the number.

Count three groups of objects, record each as tally marks and a number, then answer how-many-more and total questions.

Measure several objects to the nearest whole unit and show the lengths on a line plot marked in whole-number units, then answer questions about the data.

Use a data table (up to four categories, single-unit scale) to draw a picture graph and a bar graph, then solve put-together, take-apart, and compare problems from the bar graph.

Read a scaled bar graph of survey results and answer questions about quantities, differences, and totals — or make a scaled bar graph from a data table, choosing and labeling the scale.

Read a scaled picture graph of survey results where each symbol stands for 2, 5, or 10 students, answer questions about the data — or make a scaled picture graph from a data table by choosing a key.

Measure lengths to the nearest half- or quarter-inch and show them on a line plot with a fractional scale, then answer questions about the data.

Make a line plot from a set of measurements to the nearest quarter- or eighth-inch, then solve addition and subtraction problems about the data, such as the difference between the longest and shortest.

Make a line plot of measurements in halves, quarters, and eighths of a unit, then use fraction operations on the data — including sharing the total equally among all the objects.

Decide whether a question is statistical — one whose answers are expected to vary — and explain why.

Read a dot plot and describe the data three ways: its center, its spread and its overall shape.

Tell apart the two jobs a single number can do: summarize the middle of a data set, or summarize how much its values vary.

Read numerical data displayed on a number line as a dot plot, a histogram or a box plot — and know what each display shows and hides.

Find the mean absolute deviation (MAD) of a data set: find the mean, then average how far each value is from the mean (6.SP.B.5c).

Compute the mean, median, mode, and range of a small data set of whole numbers.

Summarize numerical data in context — how many values, what was measured and in what units, a center and a spread (IQR or MAD) — and choose the measure that suits the shape.

Express the gap between two means as a multiple of the mean absolute deviation, then judge whether the two groups genuinely differ or simply overlap.

Find the theoretical probability of a single event as a fraction of favorable to total outcomes.

Judge whether a sampling method fairly represents the whole population, and explain why. Random selection gives a representative sample; convenience and self-selected samples do not.

Use a random sample to estimate a count for the whole population, and look at how much the estimate varies between samples of the same size.

Find the median and range of two data sets, decide which group tends to be higher, and say whether the two groups overlap.

Estimate a probability from the results of many trials, or use a known probability to predict how often something will happen — and understand why more trials give a better estimate.

Compare what a fair model predicts with what actually happened in an experiment, and decide whether the difference is ordinary variation or evidence that the model is wrong.

Represent the sample space of a two-stage event as an organized list, a table or a tree diagram, and see why the number of outcomes multiplies.

Design a simulation for a real situation — say what one trial is and how to read it — then use the trial results to estimate a compound probability.

List every outcome of a compound event in an organized table, then count the favorable outcomes to find the probability.

Read a scatter plot of two measurements and describe the pattern: positive or negative association, roughly linear or not, and any outliers that break the pattern.

Draw a straight line through a scatter plot and judge how well it fits — whether the points hug the line or scatter widely around it, and what that means for predictions.

Interpret the slope and y-intercept of a line of best fit in the context of the data, and use the equation to make a prediction.

Turn each row of a two-way table into percentages, compare them, and decide whether two categorical answers are associated. Row percentages matter because the row totals differ.