SAEE Analytical Reasoning & Data Interpretation Flashcards

A scatter plot shows a strong positive correlation between hours studied and exam scores. A student studied 8 hours and scored 92. Another studied 2 hours. What score range is most likely for the second student?

Answer: 40–60

A strong positive correlation means far fewer study hours should correspond to a substantially lower score, making 40–60 the most reasonable estimate.

A frequency table shows: Score 60–69 (5 students), 70–79 (12 students), 80–89 (8 students), 90–99 (5 students). What percentage of students scored 80 or above?

Answer: 43.3%

Students scoring 80+ = 8 + 5 = 13 out of 30 total = 43.3%.

Three friends split a restaurant bill totaling $70. Ana pays twice as much as Ben, and Carlos pays $10 more than Ben. How much does Ben pay?

Answer: $15

Let Ben = x; then x + 2x + (x+10) = 70 → 4x = 60 → x = $15.

A Venn diagram shows 30 people like coffee, 20 like tea, and 10 like both. How many people like only coffee or only tea (but not both)?

Answer: 40

Only coffee = 30 − 10 = 20; Only tea = 20 − 10 = 10; combined = 40.

Which of the following arguments contains a logical flaw?

Answer: Some birds can fly; penguins are birds; therefore penguins can fly.

The argument incorrectly applies a statement about 'some birds' to a specific bird, drawing an invalid universal conclusion.

A data table shows population: 2010: 50,000; 2020: 72,000. What is the average annual rate of change over that period?

Answer: 2,200 per year

Total change = 72,000 − 50,000 = 22,000 over 10 years = 2,200 per year.

If the average of five numbers is 14, and four of the numbers are 10, 12, 18, and 16, what is the fifth number?

Answer: 14

Total sum = 5 × 14 = 70; known sum = 10 + 12 + 18 + 16 = 56; fifth number = 70 − 56 = 14.