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GRE Statistics and Probability — practice questions — page 4

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 91–120 of 171.

In the step-deviation method for the mean, $u_i$ is given by:Read the answer and worked solution →The mean of the first five natural numbers (1, 2, 3, 4, 5) is:Read the answer and worked solution →The class mark of the class interval 10–20 is:Read the answer and worked solution →The mode of the data 2, 3, 3, 4, 5 is:Read the answer and worked solution →The median of the data 3, 5, 7, 9 is:Read the answer and worked solution →The cumulative frequency of the last class interval equals:Read the answer and worked solution →The formula for the median of grouped data is:Read the answer and worked solution →If the mode is 12 and the mean is 15, then by the empirical formula the median is:Read the answer and worked solution →The theoretical probability of an event E is:Read the answer and worked solution →The probability of a sure (certain) event is:Read the answer and worked solution →The probability of an impossible event is:Read the answer and worked solution →The probability of any event E always lies between:Read the answer and worked solution →For any event E, the sum P(E) + P(not E) equals:Read the answer and worked solution →The probability of getting a head when an unbiased coin is tossed once is:Read the answer and worked solution →The probability of getting a 3 when a fair die is rolled once is:Read the answer and worked solution →The probability of getting an even number on a single roll of a fair die is:Read the answer and worked solution →The probability of drawing a red card from a well-shuffled deck of 52 cards is:Read the answer and worked solution →The probability of drawing an ace from a well-shuffled deck of 52 cards is:Read the answer and worked solution →Outcomes that have the same chance of occurring are said to be:Read the answer and worked solution →If the probability of an event is 0.3, the probability of it not happening is:Read the answer and worked solution →The probability of getting a number greater than 6 in a single roll of a die is:Read the answer and worked solution →A fair coin is tossed. What is the probability of getting a head?Read the answer and worked solution →A fair die is rolled. What is the probability of getting an even number?Read the answer and worked solution →What can the probability of an event NOT be?Read the answer and worked solution →If the probability of rain tomorrow is 0.4, what is the probability that it will NOT rain?Read the answer and worked solution →A die is rolled once. What is the probability of getting a number greater than 4?Read the answer and worked solution →A card is drawn at random from a standard deck. What is the probability of getting a king?Read the answer and worked solution →A card is drawn from a deck. What is the probability of a red face card?Read the answer and worked solution →Two dice are rolled. What is the probability of getting a sum of 8?Read the answer and worked solution →A bag has 4 red, 5 green and 6 blue balls. A ball is drawn at random. P(green)?Read the answer and worked solution →

Worked practice questions

In the step-deviation method for the mean, $u_i$ is given by:

  1. $x_i - a$
  2. $\dfrac{x_i}{h}$
  3. $\dfrac{a - x_i}{h}$
  4. $\dfrac{x_i - a}{h}$
Show answer and solution

Correct answer: D. $\dfrac{x_i - a}{h}$

Step deviation: uᵢ = (xᵢ − a)/h, where a is assumed mean and h the class size.

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The mean of the first five natural numbers (1, 2, 3, 4, 5) is:

  1. 15
  2. 3
  3. 5
  4. 2.5
Show answer and solution

Correct answer: B. 3

(1+2+3+4+5)/5 = 15/5 = 3.

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The class mark of the class interval 10–20 is:

  1. 15
  2. 10
  3. 20
  4. 30
Show answer and solution

Correct answer: A. 15

(10+20)/2 = 15.

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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