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Data Interpretation and Probability Flashcards

7 cards from real BMST 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 and Probability flashcards as text

  1. A survey of 150 people found 90 own a car, 60 own a bicycle, and 30 own both. How many own neither?

    Answer: 30

    Using inclusion-exclusion: 90+60−30=120 own at least one; 150−120=30 own neither.

  2. A line graph shows a company's profit doubling each year from $10,000 in Year 1. What is the profit in Year 4?

    Answer: $80,000

    Year 2=$20,000; Year 3=$40,000; Year 4=$80,000 (doubling each year).

  3. The probability of event A is 0.4 and event B is 0.3. If A and B are mutually exclusive, what is P(A or B)?

    Answer: 0.7

    For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.4 + 0.3 = 0.7.

  4. A stem-and-leaf plot shows stems 1, 2, 3 with leaves 2,5 | 1,4,8 | 0,3. What is the largest value?

    Answer: 33

    Stem 3 with leaf 3 gives 33, which is the largest value in the plot.

  5. A data set has a mean of 50 and standard deviation of 5. Approximately what percentage of data falls within one standard deviation of the mean?

    Answer: 68%

    By the empirical rule, approximately 68% of data falls within one standard deviation of the mean.

  6. A jar contains 3 red, 5 blue, and 2 yellow candies. If one is drawn and not replaced, then another is drawn, what is the probability both are blue?

    Answer: 2/9

    P(blue then blue) = 5/10 × 4/9 = 20/90 = 2/9.

  7. A frequency table shows test scores: 60–69 (5 students), 70–79 (12 students), 80–89 (18 students), 90–99 (5 students). What is the modal class?

    Answer: 80–89

    The modal class is 80–89 because it has the highest frequency of 18 students.