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Data Interpretation from Graphs Flashcards

7 cards from real STAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Data Interpretation from Graphs flashcards as text

  1. A bar chart shows annual sales for a retail store. Sales in 2022 were $500,000 and in 2023 were $425,000. What was the percentage decrease in sales?

    Answer: 15%

    Percentage decrease = (500,000 − 425,000) / 500,000 × 100 = 75,000/500,000 × 100 = 15%.

  2. Two overlapping circles in a Venn diagram represent students who play Soccer (30 total) and Basketball (25 total) with 10 students in the overlap. How many students play at least one sport?

    Answer: 45

    Using the inclusion-exclusion principle: 30 + 25 − 10 = 45 students play at least one sport.

  3. A line graph shows an exponential growth curve for a bacteria population, doubling every hour. After 4 hours starting with 100 bacteria, what does the graph show as the final count?

    Answer: 1,600

    Doubling 4 times: 100 × 2⁴ = 100 × 16 = 1,600 bacteria.

  4. A scatter plot has a best-fit line with the equation y = 3x + 5, where x = study hours and y = score. What score does the model predict for a student who studies 8 hours?

    Answer: 29

    y = 3(8) + 5 = 24 + 5 = 29.

  5. A bar chart compares the populations of four cities. City W = 2.1M, City X = 3.4M, City Y = 1.8M, City Z = 2.9M. Approximately what fraction of the total population lives in City X?

    Answer: One-third

    Total = 10.2M; City X = 3.4M; 3.4/10.2 ≈ 0.333, which is approximately one-third.

  6. A pictograph uses car icons where each icon represents 500 cars sold. Brand A shows 6 icons, Brand B shows 4.5 icons. How many more cars did Brand A sell than Brand B?

    Answer: 750

    Brand A: 6 × 500 = 3,000; Brand B: 4.5 × 500 = 2,250; difference = 3,000 − 2,250 = 750.

  7. A graph shows three companies' profit margins over five years. Company 1 is consistently above the others, but its line is nearly flat while the others slope upward steeply. What is the best prediction for year 6?

    Answer: Company 2 or 3 may overtake Company 1 if current trends continue

    If the upward slopes of Companies 2 and 3 continue while Company 1 stays flat, one or both will eventually exceed Company 1's margin.