Praxis Middle School Mathematics 5164 Domain 5: Statistics and Probability Welcome to your Praxis Middle School Mathematics 5164 Domain 5: Statistics and Probability 1. Praxis Mathematics (5164): Statistics and Probability A set of data is normally distributed with a mean of 50 and a standard deviation of 5. What is the probability that a randomly selected data point is less than 45? A. 0.1587 B. 0.3413 C. 0.4772 D. 0.8413 None 2. Praxis Mathematics (5164): Statistics and Probability In a class of 30 students, 18 are wearing glasses. If three students are chosen at random, what is the probability that exactly two of them are wearing glasses? A. \( \frac{7}{15} \) B. \( \frac{8}{15} \) C. \( \frac{56}{145} \) D. \( \frac{84}{145} \) None 3. Praxis Mathematics (5164): Statistics and Probability What is the range of the data set \( \{3, 7, 7, 10, 15, 18\} \)? A. 15 B. 18 C. 21 D. 25 None 4. Praxis Mathematics (5164): Statistics and Probability A box contains 5 red, 4 blue, and 3 green balls. If two balls are picked at random without replacement, what is the probability that both are green? A. \( \frac{1}{6} \) B. \( \frac{1}{12} \) C. \( \frac{1}{22} \) D. \( \frac{1}{44} \) None 5. Praxis Mathematics (5164): Statistics and Probability In a survey, 70\% of respondents chose chocolate as their favorite flavor. If 5 people are surveyed, what is the probability that at least 3 will choose chocolate? A. 0.8369 B. 0.7443 C. 0.6823 D. 0.5798 None 6. Praxis Mathematics (5164): Statistics and Probability A standard six-sided die is rolled twice. What is the probability of rolling a sum of 8? A. \( \frac{1}{6} \) B. \( \frac{5}{36} \) C. \( \frac{1}{12} \) D. \( \frac{1}{9} \) None 7. Praxis Mathematics (5164): Statistics and Probability If the interquartile range of a data set is 12, and the first quartile is 15, what is the third quartile? A. 27 B. 3 C. 12 D. 15 None 8. Praxis Mathematics (5164): Statistics and Probability A bag contains 5 black and 3 white marbles. Two marbles are drawn sequentially with replacement. What is the probability that at least one marble is black? A. \( \frac{16}{64} \) B. \( \frac{25}{64} \) C. \( \frac{39}{64} \) D. \( \frac{49}{64} \) None 9. Praxis Mathematics (5164): Statistics and Probability A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads? A. \( \frac{1}{32} \) B. \( \frac{5}{32} \) C. \( \frac{10}{32} \) D. \( \frac{15}{32} \) None 10. Praxis Mathematics (5164): Statistics and Probability If the mean of a data set is 20 and the standard deviation is 4, what percentage of the data is expected to lie between 16 and 24? A. 68\% B. 75\% C. 95\% D. 99.7\% None 11. Praxis Mathematics (5164): Statistics and Probability A set of data has a mean of 10 and a median of 12. Which of the following statements is true about the data set? A. It is symmetrically distributed. B. It is positively skewed. C. It is negatively skewed. D. No conclusion can be drawn about its skewness. None 12. Praxis Mathematics (5164): Statistics and Probability In a standard deck of 52 cards, what is the probability of drawing an ace or a heart? A. \( \frac{1}{13} \) B. \( \frac{4}{13} \) C. \( \frac{1}{4} \) D. \( \frac{16}{52} \) None 13. Praxis Mathematics (5164): Statistics and Probability In a probability experiment, the outcomes are equally likely. If the experiment has 15 possible outcomes, what is the probability of any single outcome occurring? A. \( \frac{1}{5} \) B. \( \frac{1}{10} \) C. \( \frac{1}{15} \) D. \( \frac{1}{20} \) None 14. Praxis Mathematics (5164): Statistics and Probability A set of data has a bell-shaped distribution with a mean of 70 and a standard deviation of 10. According to the empirical rule, what percentage of the data falls between 50 and 90? A. 68\% B. 95\% C. 99.7\% D. 100\% None 15. Praxis Mathematics (5164): Statistics and Probability If two dice are rolled, what is the probability that the sum of the numbers on the dice will be greater than 10? A. \( \frac{1}{12} \) B. \( \frac{1}{6} \) C. \( \frac{1}{4} \) D. \( \frac{5}{36} \) None 16. Praxis Mathematics (5164): Statistics and Probability In a survey, the probability that a randomly selected person prefers cats is 0.4, and the probability that they prefer dogs is 0.6. If these events are mutually exclusive, what is the probability that a randomly selected person prefers neither cats nor dogs? A. 0 B. 0.1 C. 0.2 D. 1 None 17. Praxis Mathematics (5164): Statistics and Probability What is the mode of the data set \( \{22, 27, 22, 30, 22, 31, 30, 35\} \)? A. 22 B. 27 C. 30 D. There is no mode None 18. Praxis Mathematics (5164): Statistics and Probability A bag contains 6 red marbles, 4 green marbles, and 5 blue marbles. If two marbles are drawn without replacement, what is the probability that both marbles are the same color? A. \( \frac{15}{91} \) B. \( \frac{14}{91} \) C. \( \frac{13}{91} \) D. \( \frac{12}{91} \) None 19. Praxis Mathematics (5164): Statistics and Probability What is the median of the data set \( \{12, 17, 23, 29, 34, 42, 45, 47, 53\} \)? A. 29 B. 34 C. 42 D. 45 None 20. Praxis Mathematics (5164): Statistics and Probability If the odds in favor of an event occurring are 3 to 2, what is the probability of the event occurring? A. \( \frac{2}{5} \) B. \( \frac{3}{5} \) C. \( \frac{2}{3} \) D. \( \frac{3}{2} \) None 1 out of 20 Time is Up! Time's up
