Respuesta :
From the given z-scores, we can deduce the following points:
- The standard deviation is 30.
- The mean is 80.
- The data point x = 20 is 2 standard deviations from the mean.
- The data point x = 50 is 1 standard deviation from the mean.
Given the following data:
- [tex]Z_{20}=-2[/tex]
- [tex]Z_{50}=-1[/tex]
What is a z-core?
A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
- x is the observed data.
- u is the mean.
- [tex]\delta[/tex] is the standard deviation.
Based on the given z-scores, we can deduce the following points:
- The standard deviation is 30.
- The mean is 80.
- The data point x = 20 is 2 standard deviations from the mean.
- The data point x = 50 is 1 standard deviation from the mean.
Read more on z-scores here: https://brainly.com/question/4302527