Concept explainers
To find: The mean, standard deviation and variance using the provided data using the graphing utility. Also, compute the percentage of data that is falling within 2 standard deviation of the mean.
Answer to Problem 39E
The mean, standard deviation and variance are 613.4583, 437.780 and 191651.3284 respectively.
Explanation of Solution
Given:
The data set is:
384 |
362 |
344 |
360 |
384 |
384 |
388 |
331 |
294 |
279 |
279 |
271 |
310 |
363 |
410 |
445 |
603 |
695 |
872 |
972 |
1225 |
1568 |
1669 |
1531 |
Calculation:
- Turn on the calculator.
- Click on STAT > Edit > Enter.
- Enter the data of x in L1 and data of y in L2.
- Click om STAT > CALC > 1-Var Stats > ENTER.
- Hit 2nd and 1 to choose L1.
- Hit Enter.
The obtained output is:
From the obtained output, the mean is 613.4583, the standard deviation is 437.780.
Using the standard deviation, the variance could be calculated as:
Thus, the variance is 191651.3284.
The interval which is containing the data that is falling within 2 standard deviation of the mean could be computed as:
There are 21 data points that lie between the computed interval.
The percentage of data that is falling within 2 standard deviation of the mean could be computed as:
Thus, the required percentage is 87.5%
Chapter B Solutions
Precalculus with Limits: A Graphing Approach
- 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