Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Using z-scores, it is found that the unusual values are those that are less than 124.
---------------------------
The z-score of a measure X in a data-set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
- The z-score measures how many standard deviations X is from the mean.
- Measures that are more than 2 standard deviations from the mean are unusual.
- Z < -2 means that the measure X is unusually low.
- Z > 2 means that the measure X is unusually high.
In this problem:
- Mean of 150, thus [tex]\mu = 150[/tex].
- Standard deviation of 13, thus [tex]\sigma = 13[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{X - 150}{13}[/tex]
[tex]X - 150 = -2(13)[/tex]
[tex]X = 124[/tex]
Unusual values are those that are less than 124.
A similar problem is given at https://brainly.com/question/15315313
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
