Probability from Experimental Data Worksheets, Grade 7 (7.SP.C.6) – Free PDF + Answer Key

First page of the probability from experimental data practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Step-by-step math videos on the Math With Mr DJ YouTube channel →

Key idea

Relative frequency is what you observed; probability is what the situation predicts. They rarely match exactly, and the gap tends to shrink as trials increase. To predict a count: multiply the probability by the number of trials.

Sample problems

20 spins give 6 reds. Find the relative frequency.
How does that compare with the theoretical ₃⁄₁₀? Does an exact match prove the spinner is fair?
50 spins give 12 reds. Find the relative frequency.
How far is that from ₃⁄₁₀?

Common mistakes to watch for

Concluded the spinner is unfair. A gap this size after only 20 spins is entirely ordinary.
Said the spinner has changed. It is the same spinner; more trials simply give a steadier estimate.
Said 500 spins gave the ‘right’ answer. It gave a better estimate; 0.316 is still not 0.300.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.