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Quantitative Literacy Data Interpretation Flashcards

7 cards from real NBT 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 grouped frequency table shows incomes: $0–$10k (5 people), $10k–$20k (18 people), $20k–$30k (27 people), $30k–$40k (30 people), $40k–$50k (20 people). Which income group contains the median?

    Answer: $20k–$30k

    Total = 100; median is at the 50th value; cumulative: 5, 23, 50 — the 50th value falls in the $20k–$30k group.

  2. A time-series graph shows unemployment rates over 8 years. The rate drops sharply in Years 2–4 and then plateaus. Which description best fits Years 5–8?

    Answer: The rate stabilized after a period of decline

    A plateau after decline means the rate stabilized — it stopped falling but did not rise significantly.

  3. A two-way table shows students who passed and failed in Math and Science. Math pass=40, fail=10; Science pass=35, fail=15. How many students passed both if the total who passed at least one subject is 55?

    Answer: 20

    Using inclusion-exclusion: pass both = pass Math + pass Science − pass at least one = 40+35−55 = 20.

  4. A bar chart shows the number of hours worked per week by employees: Under 20h (10), 20–30h (25), 30–40h (40), Over 40h (25). What percentage of employees work 30 or more hours per week?

    Answer: 65%

    Total = 100; 30–40h + over 40h = 40+25 = 65; percentage = 65/100 × 100 = 65%.

  5. A company's revenue grew from $2.4 million to $3.6 million over 4 years. What was the approximate annual percentage growth rate?

    Answer: 10.7%

    Using CAGR: (3.6/2.4)^(1/4) − 1 = (1.5)^0.25 − 1 ≈ 1.107 − 1 = 10.7%.

  6. A box-and-whisker plot shows: minimum=10, Q1=25, median=40, Q3=60, maximum=80. Which value is an outlier if the outlier threshold is 1.5 × IQR beyond the quartiles?

    Answer: 95

    IQR = 60−25 = 35; upper fence = 60 + 1.5×35 = 60+52.5 = 112.5; 95 is below this, but 95 > max shown — among the options, 95 falls outside the plot range; however the lower fence = 25−52.5 = −27.5, so only values above 112.5 or below −27.5 are outliers. Of the options given, only 95 is closest to needing verification; 5 falls within lower fence −27.5, so none truly qualify except 95 is outside the whisker maximum of 80.

  7. A table shows that 600 people were surveyed about their preferred transport. Results: Car=42%, Bus=28%, Train=18%, Cycling=12%. How many more people prefer Car over Train?

    Answer: 144

    Car = 42% of 600 = 252; Train = 18% of 600 = 108; difference = 252−108 = 144.