IDNLearn.com provides a seamless experience for finding accurate answers. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.
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
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.
