Praxis Core Math Domain 2: Data Interpretation and Representation, Statistics, and Probability Welcome to your Praxis Core Math Domain 2: Data Interpretation and Representation, Statistics, and Probability 1. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A set of data is normally distributed with a mean of 50 and a standard deviation of 5. What percentage of the data falls between 45 and 55? A. 68\% B. 95\% C. 99.7\% D. 50\% None 2. Praxis Core Math: Data Interpretation and Representation Statistics and Probability If the probability of an event A is 0.2 and the probability of an event B is 0.4, what is the probability of either A or B occurring, assuming the two events are independent? A. 0.24 B. 0.48 C. 0.6 D. 0.8 None 3. Praxis Core Math: Data Interpretation and Representation Statistics and Probability In a class of 30 students, 18 play football, 15 play basketball, and 10 play both. How many students do not play either of the two sports? A. 7 B. 10 C. 12 D. 15 None 4. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A box contains 5 red balls, 3 green balls, and 2 blue balls. What is the probability of randomly drawing two balls of different colors? A. \(\frac{6}{15}\) B. \(\frac{8}{15}\) C. \(\frac{9}{15}\) D. \(\frac{10}{15}\) None 5. Praxis Core Math: Data Interpretation and Representation Statistics and Probability In a survey, 70\% of respondents prefer tea over coffee. If 3 respondents are randomly selected, what is the probability that exactly 2 of them prefer tea over coffee? A. 0.343 B. 0.441 C. 0.189 D. 0.027 None 6. Praxis Core Math: Data Interpretation and Representation Statistics and Probability The median of the data set 3, 7, 9, 14, x, 17, 22, 25, 28 is 15. What is the value of x? A. 12 B. 15 C. 18 D. 21 None 7. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A histogram shows the frequency distribution of the weights of 60 cats. If the mean weight is 10 pounds and the median weight is 9 pounds, which of the following is true about the distribution? A. It is symmetric. B. It is positively skewed. C. It is negatively skewed. D. It cannot be determined. None 8. Praxis Core Math: Data Interpretation and Representation Statistics and Probability What is the range of the data set 8, 3, 7, 14, 10, 6, 2, 9? A. 6 B. 8 C. 10 D. 12 None 9. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 9? A. \(\frac{1}{6}\) B. \(\frac{1}{9}\) C. \(\frac{1}{12}\) D. \(\frac{1}{36}\) None 10. Praxis Core Math: Data Interpretation and Representation Statistics and Probability If a data set has a standard deviation of zero, what can be concluded about the data? A. All data points are the same. B. The data points are evenly distributed. C. There is no variance in the data. D. The data cannot be analyzed. None 11. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A set of data is normally distributed with a mean of 50 and a standard deviation of 5. What percentage of the data falls between 45 and 55? A. Approximately 68\% B. Approximately 95\% C. Approximately 99.7\% D. Approximately 50\% None 12. Praxis Core Math: Data Interpretation and Representation Statistics and Probability In a classroom, the probability that a student owns a laptop is 0.6 and the probability that a student owns a smartphone is 0.8. Assuming independence, what is the probability that a student owns both a laptop and a smartphone? A. 0.48 B. 0.68 C. 0.14 D. 0.2 None 13. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A set of five numbers has an average of 10. If the largest number is removed, the average of the remaining numbers is 8. What is the value of the number that was removed? A. 15 B. 18 C. 20 D. 22 None 14. Praxis Core Math: Data Interpretation and Representation Statistics and Probability In a box of colored balls, there are 5 red, 3 blue, and 2 green balls. If two balls are drawn randomly without replacement, what is the probability that both balls are red? A. \(\frac{5}{10} \times \frac{4}{9}\) B. \(\frac{3}{10} \times \frac{2}{9}\) C. \(\frac{5}{10} \times \frac{3}{9}\) D. \(\frac{3}{10} \times \frac{5}{9}\) None 15. Praxis Core Math: Data Interpretation and Representation Statistics and Probability The median of a set of seven distinct numbers is 24. If the range of the numbers is 20, what is the maximum possible value in the set? A. 44 B. 34 C. 28 D. 54 None 16. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A dataset has a mean of 50 and a standard deviation of 5. If all data points increase by 10, what will be the new standard deviation? A. 5 B. 10 C. 15 D. 20 None 17. Praxis Core Math: Data Interpretation and Representation Statistics and Probability In a class of 30 students, 18 are wearing glasses. What is the probability that a randomly selected student from the class is wearing glasses? A. \( \frac{3}{5} \) B. \( \frac{2}{3} \) C. \( \frac{3}{4} \) D. \( \frac{4}{5} \) None 18. Praxis Core Math: Data Interpretation and Representation Statistics and Probability A box contains 4 red balls, 5 blue balls, and 6 green balls. If a ball is picked at random, what is the probability that it is not blue? A. \( \frac{4}{15} \) B. \( \frac{2}{3} \) C. \( \frac{5}{15} \) D. \( \frac{10}{15} \) None 19. Praxis Core Math: Data Interpretation and Representation Statistics and Probability The median of five numbers is 14. If one of the numbers, which is greater than 14, is removed, what will be the effect on the median? A. It will increase. B. It will decrease. C. It will remain the same. D. Cannot be determined. None 20. Praxis Core Math: Data Interpretation and Representation Statistics and Probability What is the range of the data set: 3, 7, 7, 10, 12, 15, 17? A. 10 B. 12 C. 14 D. 15 None 1 out of 20 Time is Up! Time's up
