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NSAA Mathematics - Statistics and Probability Flashcards

6 cards from real NSAA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 NSAA Mathematics - Statistics and Probability flashcards as text
  1. In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?

    Answer: 68%

    The 68-95-99.7 rule states that ~68% of data falls within ±1 standard deviation of the mean.

  2. How many ways can 4 books be arranged on a shelf?

    Answer: 24

    The number of arrangements = 4! = 4×3×2×1 = 24.

  3. A card is drawn from a standard 52-card deck. What is the probability that it is a heart or a king?

    Answer: 17/52

    P(heart) = 13/52, P(king) = 4/52, P(king of hearts) = 1/52; P(heart or king) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13.

  4. The interquartile range (IQR) is calculated as:

    Answer: Q3 - Q1

    IQR = Q3 - Q1, the difference between the upper and lower quartiles.

  5. From a group of 5 people, how many ways can a committee of 3 be chosen?

    Answer: 10

    C(5,3) = 5!/(3!2!) = 10.

  6. What is P(A|B) if P(A∩B) = 0.12 and P(B) = 0.4?

    Answer: 0.3

    P(A|B) = P(A∩B)/P(B) = 0.12/0.4 = 0.3.

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