# Assignment Worksheet

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Mean Speed Mean Mileage – Median X Median Y – Mode X Mode Y ? 2. Which of the three measures (mean, median, mode) is a better measure of entrap tendency for Why? 4. Which of the three (range, variance, S. D) is a better measure of variations for Speed? . 5. Find the C.V. (Coefficient of Variations) for Speed and Mileage. C.V. speed = 6. What does the comparison of the C.v. imply about the two variables? 7. Find the location (i) of the 1st quartile for speed…. Find the first quartile What does it mean? 8. Find the location (i) of the 15th percentile for speed .

Find the 15th percentile……….. What does it mean? 9. Find the location (i) of the 2nd quartile for Find the second 10. Find the location (i) of the 55th percentile for speed…….. Find the 55th 3. For each variable (speed and mileage) in the table above, find range, variance and standard deviation. Quartile Range Y = Variance X Variance Y = S. D. X S. D. Y= percentile ? 11. Find the location (i) of the 3rd quartile for Speed…. Find the 3rd Assume that the Speed variable has an unknown distribution. Answer the following questions: 12.

What will be the speed off car that is driving 1. 5 standard deviations faster than the average speed?………………. 13. What will be the speed off car that is driving two standard deviations faster than the average speed?… 14. What will be the speed off car that is driving two standard deviations slower than average speed? …. 15. What will be the speed off car that is driving three standard deviations faster than average speed? 16. What is the probability that a car will drive at a speed two SD faster or slower than the average speed? ? 17. What is the probability that a car will drive at a speed two SD faster or slower than the average speed? 18. What is the probability that a car will drive at a speed 1. 5 SD faster or slower 19. What is the probability that a car drive at a speed three SD faster or slower Now, assume that the speed variable has a bell-shaped (Normal) distribution. Answer the following questions. 20. What will be the speed off car that is driving 1. 5 standard deviations faster than the average speed?……… 21.

What will be the speed off car that is driving two standard deviations faster than the average 22. What will be the speed off car that is driving two standard deviations slower than average speed? 23. What will be the speed off car that is driving three standard deviations faster than average speed? ……… 24. What is the probability that a car will drive at a speed two SD faster or slower 25. What is the probability that a car will drive at a speed two SD faster or slower 26. What is the probability that a car will drive at a speed 1. SD faster or slower 27. What is the probability that a car drive at a speed three SD faster or slower than the average speed? . 28. For the following data on X and Y find the variances and standard deviations of X and Y. A. (X – 65, (XX 2540, F 30. B- Y-bar = 22, (Y = 3365, n = 30. 29. For the following data on X and Y find the variances and standard deviations 42, (xx=540, n = 20. B- Y-bar = 22, (Y = 3365, n = 15. 30. Given the summary statistics in question 28 for X and Y, and that ((X – Saba) Y – Yuba) = 58, find the covariance of X and Y. 