Grade 11 (quiz) Statistics and Probability.pdf
- 3. Welcome Everyone Ma’am Pau I'm so excited to be here for our Math Quiz. This quiz is a chance to show off what you have learned. Don't be afraid to ask for help. Let's have fun and do our best. Good Luck!
- 4. QUIZ Determine the z value for each of the following questions.
- 5. Given the mean is 50 and the standard deviation is 4 of a population of reading scores. Find the z-value that corresponds to a score x=58. 1.
- 6. 2. Mark is analyzing the test scores of a group of students. He knows that the mean score is 80 with a standard deviation of 10. If one student scored 70 on the test, what is the z value for this student's score?
- 7. 3. Emily is examining the weights of packages in a shipment. She knows that the mean weight is 12 pounds with a standard deviation of 2 pounds. If one package weighs 16 pounds, what is the z value for this package's weight?
- 8. 4. Tom is investigating the temperatures recorded in a city. He knows that the average temperature is 75°F with a standard deviation of 5°F. If one day the temperature reaches 80°F, what is the z value for that day's temperature?
- 9. 5. Hannah is analyzing the test scores of her classmates. She knows that the mean score is 75 with a standard deviation of 10. If one student scored 85 on the test, what is the z value for this student's score?
- 10. 6. Sarah is conducting a study on the reaction times of drivers at a busy intersection. She knows that the mean reaction time is 1.5 seconds with a standard deviation of 0.3 seconds. If one driver's reaction time is 1.8 seconds, what is the z value for this driver's reaction time?
- 11. 7. Alice is analyzing the ages of participants in a study. She knows that the mean age is 40 years with a standard deviation of 5 years. If one participant is 50 years old, what is the z value for this participant's age?
- 12. 8. Bob is investigating the prices of smartphones in a store. He knows that the mean price is $500 with a standard deviation of $50. If one smartphone is priced at $550, what is the z value for this smartphone's price?
- 13. 9. Clara is analyzing the weights of fruits in a basket. She knows that the mean weight is 200 grams with a standard deviation of 20 grams. If one fruit weighs 190 grams, what is the z value for this fruit's weight?
- 14. 10. David is analyzing the blood pressure readings of patients in a clinic. He knows that the mean blood pressure is 120 mmHg with a standard deviation of 10 mmHg. If one patient's blood pressure is 100 mmHg, what is the z value for this patient's blood pressure?
- 15. 11. Michael is analyzing the running speeds of athletes in a race. He knows that the mean speed is 10 meters per second with a standard deviation of 1 meter per second. If one athlete runs at a speed of 9 meters per second, what is the z value for this athlete's running speed?
- 16. 12. Jake is analyzing the weights of fish in a pond. He knows that the mean weight is 500 grams with a standard deviation of 50 grams. If one fish weighs 500 grams, what is the z value for this fish's weight?
- 17. 13. Ethan is examining the reaction times of athletes. He knows that the mean reaction time is 0.5 seconds with a standard deviation of 0.1 seconds. If one athlete has a reaction time of 0.6 seconds, what is the z value for this athlete's reaction time?
- 18. 14. Sarah is conducting a study on the heights of students in her school. She knows that the mean height is 65 inches with a standard deviation of 3 inches. She measures one student's height to be 70 inches. What is the z value for this student's height measurement?
- 19. 15. For a continuous random variable that has normal distribution with mean of 20 and standard deviation of 4, find the area under the normal curve from x=20 and x=27.
- 20. Thank you!!!