Complete this quiz after finishing Modules 2.11–2.16 (Problem Solving & Data Analysis). You should be able to answer every question without referring back to the modules. If you get stuck, reread that section.

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Part A

Multiple Choice

This section tests your understanding of ratios and rates, percentages, descriptive statistics, inference and sampling, probability, and data interpretation.

1A student confuses "30% of 80" with "a 30% increase from 80." What are the two correct answers?*

A) 24 and 80 B) 24 and 104 C) 30 and 104 D) 24 and 110

Please select an answer.

2A study surveys 500 students from one high school about sleep habits. The conclusion extends to "all U.S. high school students." What is the flaw in this inference?*

A) The sample size is too small B) The sample is not representative of all U.S. high school students C) Sleep habits cannot be measured through surveys D) There is no flaw — the conclusion is valid

Please select an answer.

3A dataset has values {2, 4, 6, 8, 100}. A student is asked for the best measure of center. Which is more appropriate and why?*

A) Mean, because it uses every value in the dataset B) Mode, because 2, 4, 6, and 8 are close together C) Median, because it is resistant to the outlier (100) D) Range, because it captures the spread

Please select an answer.

4A survey reports that 62% of respondents prefer option A, with a margin of error of ±4%. A second survey reports 57% prefer option A, with the same margin of error. What is the most appropriate conclusion?*

A) Preference for option A definitely decreased B) The second survey was conducted incorrectly C) The difference could be due to sampling variability — the intervals overlap D) The margin of error should be ignored since it's the same for both

Please select an answer.

5A scatterplot shows a strong positive correlation between hours studied and test scores. A student concludes that studying more causes higher scores. What is wrong with this conclusion?*

A) Nothing — strong correlation always implies causation B) Correlation does not imply causation C) Scatterplots cannot show positive correlation D) The sample size must be too small

Please select an answer.

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Part B

Short Answer

Respond in your own words.

6Explain the difference between a rate and a ratio to a student. Give one example of each from a real SAT-style context.*

Please answer this question.

7A student consistently misreads two-way tables and adds values in the wrong direction. What is the specific teaching intervention you use?*

Please answer this question.

8Describe the "wormhole" shortcut for statistics problems. When does it apply, and how do you teach it?*

Please answer this question.

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Part C

Teaching Scenario

This puts you in a tutoring session. Respond in your own words.

9A student can find mean and median mechanically but always misses inference questions, even after you have covered the concept. What do you try next? What does mastery of inference questions look like for a student aiming for a 650?*

Please answer this question.

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What Comes Next

Teach-Back and Check-In

Nice work finishing Problem Solving & Data Analysis (Modules 2.11–2.16). You've covered ratios and rates, percentages, descriptive statistics, inference and sampling, probability, and data interpretation, the core toolkit you'll lean on in most PSDA lessons. Before moving into the next module, you'll walk a trainer through a couple of these concepts the way you'd walk a student through it. Pick who you're meeting with below, and they'll reach out to find a time.

Pick the trainer that you'll meet for the teach-back lesson*

Please pick a trainer.

Any comments or questions before the meeting?

PSDA Tutor Assessment

Multiple Choice

Short Answer

Teaching Scenario

Teach-Back and Check-In

You're all set