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TSIA2 Probabilistic and Statistical Reasoning

Reading data displays and computing basic statistics like mean, median, and simple probability.

Practice TSIA2 Probabilistic and Statistical Reasoning →

What this skill covers

This skill covers summarizing a small data set (mean, median) and computing straightforward probabilities from a described situation, such as selecting an item at random from a known group.

For median questions, the values must be sorted from least to greatest before picking the middle one — a common error is finding the middle position of the list in its original, unsorted order.

Worked examples

Example 1
The data set is 7, 12, 9, 15, 11. What is the median?
A. 11
B. 9
C. 12
D. 10.8
Why: Sorted, the values are 7, 9, 11, 12, 15 — the middle value is 11. (10.8 is the mean, a common mix-up with the median.)
Example 2
A jar contains 5 yellow, 3 red, and 2 blue candies. What is the probability of selecting a blue candy at random?
A. 2/10
B. 2/5
C. 3/10
D. 5/10
Why: There are 10 candies total and 2 are blue, so the probability is 2/10 (which simplifies to 1/5) — always divide by the total, not by one of the other colors.

How to practice this on TSI Practice Prep

Open TSIA2 Practice to answer original TSIA2 questions on tSIA2 Probabilistic and Statistical Reasoning, get an explanation for every choice, and see this skill tracked separately in your progress and mistake review.

Practice score estimates are learning indicators, not official scores or admission guarantees.
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