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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 box-and-whisker plot for a dataset shows: minimum=10, Q1=25, median=40, Q3=55, maximum=80. What is the interquartile range (IQR)?

    Answer: 30

    IQR = Q3 − Q1 = 55 − 25 = 30.

  2. A line graph compares the growth of two populations over 10 years. Population A grows from 1,000 to 2,000; Population B grows from 500 to 1,200. Which population grew more in absolute terms?

    Answer: Population A

    Population A added 1,000 people while Population B added 700 people, so A had greater absolute growth.

  3. A bar graph shows the number of medals won by five countries in an Olympic event. If the graph's y-axis starts at 5 instead of 0, what potential misinterpretation could occur?

    Answer: Differences between countries appear larger than they are

    A truncated y-axis starting above zero makes bars appear disproportionately different, exaggerating the visual gap between countries.

  4. A histogram shows the distribution of ages in a sample, with most data concentrated between 20–40 and a long tail extending to age 80. What type of distribution is this?

    Answer: Right-skewed (positively skewed) distribution

    A long tail extending toward higher values (right side) defines a right-skewed or positively skewed distribution.

  5. A dual-axis graph shows monthly sales volume (bars, left axis) and average sale price (line, right axis). In March, volume is highest but price is lowest. What can be inferred?

    Answer: High volume and low price may offset each other's revenue effects

    Revenue = price × volume; with the highest volume offset by the lowest price, the net effect on revenue is ambiguous without exact numbers.

  6. A stem-and-leaf plot displays data with stems 1–5. The stem '3' has leaves: 2, 4, 4, 7, 9. How many data values fall between 30 and 39 inclusive?

    Answer: 5

    Each leaf on stem '3' represents one value (32, 34, 34, 37, 39), giving 5 values in the 30–39 range.

  7. A line graph shows a city's temperature measured at 6am, 12pm, 6pm, and 12am over one day: 15°C, 28°C, 24°C, 17°C. What was the temperature range for that day?

    Answer: 13°C

    Range = maximum − minimum = 28°C − 15°C = 13°C.