Homework Help is Here – Start Your Trial Now!
Math
Statistics
Examine the validity of the following statements : 1. Mean deviation from the mean is 3 and from the median is 4. 2. “An average when published should be accompanied by a measure of dispersion for significant interpretation." 3. If the mean and S.D. of n observations x, x,, X3, ..., x, be x and o, then the mean and S.D. of – X1, -X2. -X3, ... – x, will be - x and -o respectively. 4. The S.D. is invariant under change of origin and scale. 5. The computer showed that the S.D. of 40 observations ranging from 120 to 150 is 35. 6. After settlement, the average monthly wage in a factory had increased from 4,000 and the S.D. had increased from 1,000 to 1,250. After settlement the wage has become higher and more uniform. 7. Ten observations have mean 20 and same standard deviation. If each of these 10 observations is doubled, then the S.D. of the new observations will be doubled. 3,500 to Rs. 8. The S.D. of 10 items is 4. If each item is increased by 2, the S.D. will become 6. 9. The S.D. of a distribution is - 2. 10. The S.D. of 5 items is found to be 50. What will be the S.D. if the values of all the items are increased by 5? 11. The mean depth of water of a river is 130 cms. Therefore, a man with a height of 165 cms can cross the river safely.

Examine the validity of the following statements : 1. Mean deviation from the mean is 3 and from the median is 4. 2. “An average when published should be accompanied by a measure of dispersion for significant interpretation." 3. If the mean and S.D. of n observations x, x,, X3, ..., x, be x and o, then the mean and S.D. of – X1, -X2. -X3, ... – x, will be - x and -o respectively. 4. The S.D. is invariant under change of origin and scale. 5. The computer showed that the S.D. of 40 observations ranging from 120 to 150 is 35. 6. After settlement, the average monthly wage in a factory had increased from 4,000 and the S.D. had increased from 1,000 to 1,250. After settlement the wage has become higher and more uniform. 7. Ten observations have mean 20 and same standard deviation. If each of these 10 observations is doubled, then the S.D. of the new observations will be doubled. 3,500 to Rs. 8. The S.D. of 10 items is 4. If each item is increased by 2, the S.D. will become 6. 9. The S.D. of a distribution is - 2. 10. The S.D. of 5 items is found to be 50. What will be the S.D. if the values of all the items are increased by 5? 11. The mean depth of water of a river is 130 cms. Therefore, a man with a height of 165 cms can cross the river safely.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Examine the validity of the following statements : 1. Mean deviation from the mean is 3 and from the median is 4. 2. “An average when published should be accompanied by a measure of dispersion for significant interpretation." 3. If the mean and S.D. of n observations x, x,, x3, .., x, be x and o, then the mean and S.D. of – X1, -X2, -X3, ..., – X„ will be - x and -o respectively. 4. The S.D. is invariant under change of origin and scale. 5. The computer showed that the S.D. of 40 observations ranging from 120 to 150 is 35. 6. After settlement, the average monthly wage in a factory had increased from 4.000 and the S.D. had increased from 1,000 to 1,250. After settlement the wage has become higher and more uniform. 7. Ten observations have mean 20 and same standard deviation. If each of these 10 observations is doubled, then the S.D. of the new observations will be doubled. 8. The S.D. of 10 items is 4. If each item is increased by 2, the S.D. will become 6. 3,500 to Rs. 9. The S.D. of a distribution is - 2. 10. The S.D. of 5 items is found to be 50. What will be the S.D. if the values of all the items are increased by 5 ? 11. The mean depth of water of a river is 130 cms. Therefore, a man with a height of 165 cms can cross the river safely.
Transcribed Image Text:Examine the validity of the following statements : 1. Mean deviation from the mean is 3 and from the median is 4. 2. “An average when published should be accompanied by a measure of dispersion for significant interpretation." 3. If the mean and S.D. of n observations x, x,, x3, .., x, be x and o, then the mean and S.D. of – X1, -X2, -X3, ..., – X„ will be - x and -o respectively. 4. The S.D. is invariant under change of origin and scale. 5. The computer showed that the S.D. of 40 observations ranging from 120 to 150 is 35. 6. After settlement, the average monthly wage in a factory had increased from 4.000 and the S.D. had increased from 1,000 to 1,250. After settlement the wage has become higher and more uniform. 7. Ten observations have mean 20 and same standard deviation. If each of these 10 observations is doubled, then the S.D. of the new observations will be doubled. 8. The S.D. of 10 items is 4. If each item is increased by 2, the S.D. will become 6. 3,500 to Rs. 9. The S.D. of a distribution is - 2. 10. The S.D. of 5 items is found to be 50. What will be the S.D. if the values of all the items are increased by 5 ? 11. The mean depth of water of a river is 130 cms. Therefore, a man with a height of 165 cms can cross the river safely.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS