For problems 11 through 14 use the following exam scores. 83, 68, 84, 85, 75. 11. Find the mean if each score is weighted equally. 12. Find the mean if the first four exams are each weighted 10% and the fifth exam is weighted 60%. 13. Find the range and interquartile range. n Σ-3). 14. Find the variance. Hint: S i-1 n -1 15. Prove that when exam scores are weighted equally, the weighted mean is the same as the n Σ. n i= mean. i.e. Prove that when scores are weighted equally x,w n i-1 16. Prove that the sum of the deviations from the mean is always zero. i.e. Prove that(x-x) = 0. i-1 17. According to Chebyshev's Theorem what proportion of data is within (a) 1 standard deviation of the mean. (b) 1.5 standard deviations of the mean. (d) 2.5 standard deviations of the mean. dard deviations of the ean.
For problems 11 through 14 use the following exam scores. 83, 68, 84, 85, 75. 11. Find the mean if each score is weighted equally. 12. Find the mean if the first four exams are each weighted 10% and the fifth exam is weighted 60%. 13. Find the range and interquartile range. n Σ-3). 14. Find the variance. Hint: S i-1 n -1 15. Prove that when exam scores are weighted equally, the weighted mean is the same as the n Σ. n i= mean. i.e. Prove that when scores are weighted equally x,w n i-1 16. Prove that the sum of the deviations from the mean is always zero. i.e. Prove that(x-x) = 0. i-1 17. According to Chebyshev's Theorem what proportion of data is within (a) 1 standard deviation of the mean. (b) 1.5 standard deviations of the mean. (d) 2.5 standard deviations of the mean. dard deviations of the ean.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
I need help with number 15.
![For problems 11 through 14 use the following exam scores.
83, 68, 84, 85, 75.
11. Find the mean if each score is weighted equally.
12. Find the mean if the first four exams are each weighted 10% and the fifth exam is weighted
60%.
13. Find the range and interquartile range.
n
Σ-3).
14. Find the variance. Hint: S
i-1
n -1
15. Prove that when exam scores are weighted equally, the weighted mean is the same as the
n
Σ.
n
i=
mean. i.e. Prove that when scores are weighted equally x,w
n
i-1
16. Prove that the sum of the deviations from the mean is always zero.
i.e. Prove that(x-x) = 0.
i-1
17. According to Chebyshev's Theorem what proportion of data is within
(a) 1 standard deviation of the mean.
(b) 1.5 standard deviations of the mean.
(d) 2.5 standard deviations of the mean.
dard deviations of the
ean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20e51817-3687-43c5-906d-0660bb98299c%2Fc2bfd6f8-b772-41d0-b5e5-5407cbdbf68a%2Fc2hmlo7.jpeg&w=3840&q=75)
Transcribed Image Text:For problems 11 through 14 use the following exam scores.
83, 68, 84, 85, 75.
11. Find the mean if each score is weighted equally.
12. Find the mean if the first four exams are each weighted 10% and the fifth exam is weighted
60%.
13. Find the range and interquartile range.
n
Σ-3).
14. Find the variance. Hint: S
i-1
n -1
15. Prove that when exam scores are weighted equally, the weighted mean is the same as the
n
Σ.
n
i=
mean. i.e. Prove that when scores are weighted equally x,w
n
i-1
16. Prove that the sum of the deviations from the mean is always zero.
i.e. Prove that(x-x) = 0.
i-1
17. According to Chebyshev's Theorem what proportion of data is within
(a) 1 standard deviation of the mean.
(b) 1.5 standard deviations of the mean.
(d) 2.5 standard deviations of the mean.
dard deviations of the
ean.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman