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Quantitative Reasoning in Context 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 bar chart shows monthly electricity usage: Jan 320 kWh, Feb 290 kWh, Mar 250 kWh, Apr 210 kWh. What is the average monthly usage over these four months?

    Answer: 267.5 kWh

    (320 + 290 + 250 + 210) ÷ 4 = 1,070 ÷ 4 = 267.5 kWh.

  2. Two pipes fill a tank. Pipe A fills it in 6 hours, Pipe B in 4 hours. Working together, how long will they take to fill the tank?

    Answer: 2.4 hours

    Combined rate = 1/6 + 1/4 = 5/12 tanks/hour; time = 12/5 = 2.4 hours.

  3. A jacket originally costs $180. It is discounted by 15%, and sales tax of 8% is then applied to the discounted price. What is the final cost?

    Answer: $165.24

    Discounted price = 180 × 0.85 = $153; after 8% tax = 153 × 1.08 = $165.24.

  4. A line graph shows a city's temperature rising from 5°C in January to 35°C in July, then returning to 5°C in December. Which statement is most accurate?

    Answer: The temperature change is approximately symmetric around July

    The description of rising from January to July and falling back to 5°C by December describes a roughly symmetric pattern.

  5. A data set has a mean of 50 and a standard deviation of 5. A score of 60 is how many standard deviations above the mean?

    Answer: 2

    (60 − 50) ÷ 5 = 10 ÷ 5 = 2 standard deviations.

  6. A pie chart shows a household's budget: housing 30%, food 25%, transport 15%, savings 20%, and other 10%. If the monthly income is $4,800, how much is spent on food and transport combined?

    Answer: $1,920

    Food + transport = 25% + 15% = 40%; 40% of $4,800 = $1,920.

  7. A school's test score data is: minimum 42, Q1 = 58, median = 70, Q3 = 82, maximum 95. What is the interquartile range (IQR)?

    Answer: 24

    IQR = Q3 − Q1 = 82 − 58 = 24.