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GRE Statistics and Probability — practice questions — page 2

Explore 171 free Statistics and Probability questions in GRE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Statistics and Probability questions and exercises with answers

Showing questions 31–60 of 171.

The arithmetic mean of n values x1, x2, ..., xn is:Read the answer and worked solution →Median of an odd-length sorted data set is:Read the answer and worked solution →Probability of a certain event:Read the answer and worked solution →Probability of rolling a 6 on a fair die:Read the answer and worked solution →For independent events A and B, P(A and B) equals:Read the answer and worked solution →For mutually exclusive events A and B, P(A or B) equals:Read the answer and worked solution →Find mean of {2, 4, 6, 8, 10}:Read the answer and worked solution →Variance of {2, 4, 6, 8, 10}:Read the answer and worked solution →Standard deviation of {2, 4, 6, 8, 10}:Read the answer and worked solution →P(at least one head in 2 fair coin tosses):Read the answer and worked solution →Probability of drawing a heart from a standard 52-card deck:Read the answer and worked solution →Mean of n numbers x₁, x₂, ..., x_n:Read the answer and worked solution →Median of sorted data with odd count n:Read the answer and worked solution →Mode of data set is:Read the answer and worked solution →Probability of certain event:Read the answer and worked solution →Total probability of all mutually exclusive outcomes:Read the answer and worked solution →Standard deviation of n numbers with mean x̄:Read the answer and worked solution →Variance:Read the answer and worked solution →For independent events A and B:Read the answer and worked solution →Mutually exclusive events A and B:Read the answer and worked solution →Conditional probability:Read the answer and worked solution →Bayes' theorem:Read the answer and worked solution →Expected value E(X) of discrete random variable:Read the answer and worked solution →Bernoulli trial has:Read the answer and worked solution →Binomial distribution: P(X = k) =Read the answer and worked solution →Mean of binomial distribution with n trials, success probability p:Read the answer and worked solution →Variance of binomial:Read the answer and worked solution →Mean of 10 numbers is 8. If a new value 30 is added, new mean:Read the answer and worked solution →Box has 5 red, 7 blue balls. Draw 2 without replacement. P(both red):Read the answer and worked solution →P(both red OR both blue) in 2 draws without replacement from 5R 7B box:Read the answer and worked solution →

Worked practice questions

The arithmetic mean of n values x1, x2, ..., xn is:

  1. sum of all values / n
  2. Product / n
  3. n / sum
  4. Largest value
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Correct answer: A. sum of all values / n

Mean = (sum of values) / n. Most common measure of central tendency. Sensitive to outliers.

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Median of an odd-length sorted data set is:

  1. First value
  2. Middle value (n+1)/2 th term
  3. Last value
  4. Average of first and last
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Correct answer: B. Middle value (n+1)/2 th term

For odd n, median = middle value at position (n+1)/2. For even n, median = average of n/2 and (n/2 + 1) values.

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Probability of a certain event:

  1. 0
  2. 1
  3. 1/2
  4. Negative
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Correct answer: B. 1

P(certain event) = 1. P(impossible event) = 0. Probabilities lie in [0, 1]. Sum over all mutually exclusive complete outcomes = 1.

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More Mathematics topics

MathematicsArithmetic ProgressionSets and RelationsQuadratic EquationsReal Numbers and PolynomialsUnit 1A1: Relations, Functions and GraphsUnit 6B: Definite Integration & Riemann SumsUnit 1B1: Limit Concepts and Graphical Limits