A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape: 381 351 356 362 379 420 320 395 401 372 376 371 364 367 366 327 335 394 391 369 377 358 352 408 330 399 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 32 34 35 36 37 38 39 40 41 33 mm 3 3 3 3 4 2 2 42 How does it suggest that the sample mean and median will compare? ○ The display is reasonably symmetric, so the mean and median will be close. O The display is negatively skewed, so the median will be greater than the mean. ○ The display is positively skewed, so the median will be greater than the mean. The display is negatively skewed, so the mean will be greater than the median. ○ The display is positively skewed, so the mean will be greater than the median. (b) Calculate the values of the sample mean x and median x. [Hint: Σx; = 9621.] (Round your answers to two decimal places.) x = x = sec sec (c) By how much could the largest time, currently 420, be increased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) By how much could this value be decreased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) (d) What are the values of x and x when the observations are reexpressed in minutes? (Round your answers to two decimal places.) min x= x = min
A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape: 381 351 356 362 379 420 320 395 401 372 376 371 364 367 366 327 335 394 391 369 377 358 352 408 330 399 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 32 34 35 36 37 38 39 40 41 33 mm 3 3 3 3 4 2 2 42 How does it suggest that the sample mean and median will compare? ○ The display is reasonably symmetric, so the mean and median will be close. O The display is negatively skewed, so the median will be greater than the mean. ○ The display is positively skewed, so the median will be greater than the mean. The display is negatively skewed, so the mean will be greater than the median. ○ The display is positively skewed, so the mean will be greater than the median. (b) Calculate the values of the sample mean x and median x. [Hint: Σx; = 9621.] (Round your answers to two decimal places.) x = x = sec sec (c) By how much could the largest time, currently 420, be increased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) By how much could this value be decreased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) (d) What are the values of x and x when the observations are reexpressed in minutes? (Round your answers to two decimal places.) min x= x = min
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.3: Using Data Displays
Problem 1E
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill