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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.

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  1. A time-series graph shows a company's quarterly profits over 3 years. The trend line slopes upward but individual quarters alternate high and low. What best describes this pattern?

    Answer: An overall upward trend with seasonal fluctuation

    An upward-sloping trend line combined with alternating quarterly values indicates overall growth with seasonal fluctuation.

  2. A bar chart shows the number of books read per month by five students: Ana=8, Ben=5, Cara=12, Dan=3, Eve=7. What is the mean number of books read?

    Answer: 7

    (8+5+12+3+7) / 5 = 35/5 = 7.

  3. A line graph shows two companies' stock prices. Company X starts at $50 and ends at $80; Company Y starts at $20 and ends at $38. Which company had a higher percentage growth?

    Answer: Company Y

    Company X grew 60% ($30/$50), while Company Y grew 90% ($18/$20), so Company Y had higher percentage growth.

  4. A frequency polygon has peaks at values 30, 50, and 70, with the highest peak at 50. What does this shape suggest about the distribution?

    Answer: The data is roughly symmetrical with a central peak

    A central dominant peak at 50 with roughly symmetric side peaks at 30 and 70 suggests an approximately symmetrical, bell-shaped distribution.

  5. A grouped bar chart compares commute times (under 30 min, 30–60 min, over 60 min) for City A and City B. City A's tallest bar is 'under 30 min' while City B's tallest bar is '30–60 min.' What can be concluded?

    Answer: City A residents more commonly have short commutes than City B residents

    The tallest bar indicates the most frequent category; City A's modal commute is under 30 minutes while City B's is 30–60 minutes.

  6. A scatter plot displays height (cm) on the x-axis and shoe size on the y-axis for 50 people. The correlation coefficient is 0.85. What does this value indicate?

    Answer: A strong positive correlation

    A correlation coefficient of 0.85 is close to 1, indicating a strong positive relationship between height and shoe size.

  7. A pie chart shows market share: Brand A = 35%, Brand B = 30%, Brand C = 20%, Brand D = 15%. If Brand A's share grows to 45% while all others shrink proportionally, what is Brand B's new approximate share?

    Answer: 23%

    The remaining 55% is distributed among B, C, D originally holding 65%; Brand B's proportional share is (30/65)×55 ≈ 25.4%, closest to 25%.