Concept explainers
i. To find the Mean, Variance and Standard Deviation of the given data.
Compare the Central Tendencies for the given data.
i. To find the Mean, Variance and Standard Deviation of the given data.
Answer to Problem 48E
- Mean(a)=4,
- Mean(b)=12;
- Variance(a)=4,
- Variance(b)=36;
- S.D.(a)=2,
- S.D.(b)=6
Explanation of Solution
Given:
- 1,2,3,4,5,6,7
- (1,2,3,4,5,6,7) multiplied by 3
Calculation:
(a) Arrange the data in ascending order
1 | 2 | 3 | 4 | 5 | 6 | 7 |
(b) Arrange the data in ascending order
3 | 6 | 9 | 12 | 15 | 18 | 21 |
Conclusion:
When multiplied by 3 the Mean is multiplied by 3, Variance is multiplied by the square of 3 and Standard Deviation is multiplied by 3.
ii. Effect of constant k on Central Tendency
Change in central tendency.
ii. Effect of constant k on Central Tendency
Answer to Problem 48E
Mean is multiplied by the same constant (k), Variance is multiplied by the square of the constant i.e. (k2) and Standard Deviation is multiplied by constant (k).
Explanation of Solution
Given:
- 1,2,3,4,5,6,7
- (1,2,3,4,5,6,7) multiplied by 3
Calculation:
Arrange the data in ascending order
3 | 6 | 9 | 12 | 15 | 18 | 21 |
Conclusion:
Mean is Multiplied by the same constant (k), Variance is multiplied by the square of the constant i.e. (k2) and Standard Deviation is multiplied by constant (k).
Chapter B Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning