Alex's z score of 1.6 means her frequency of anxiety symptoms are 1.6 standard deviations more than the mean of all patients.
Z-score is defined as the relationship between a particular value or data to the mean of all the data present in a normal distribution. When the z-score is zero that means the data is equal to the mean.
where x=raw data,
=mean and
= standard deviation
Standard Deviation is a measure of how dispersed a data set is around its mean or central value. Numerically Standard deviation is defined as the square root of the variance of the distribution.
- Lower standard deviation means the data is clustered together
- A higher standard deviation means that the data is spread out over a larger area.
In the given problem as the z-score of Alex is given as 1.6, we can infer that the frequency of anxiety symptoms for Alex is 1.6 standard deviations more than the mean data.
Therefore from the above formula

To learn more about Z score:
brainly.com/question/25638875
To learn more about Standard deviation :
brainly.com/question/13905583
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Answer:
B
Step-by-step explanation:
Since this right angled triangle has two angles of 45, so according to theorem sides opposite to equal angles are equal
Applying Pythagoras theorem
(4√2)^2=(x)^2+(x)^2
32=x^2+x^2
32=2x^2
x^2=32/2
x^2=16
Taking sq root on both sides we get
x=4
Answer: 12
Step-by-step explanation:
Since we are informed that a maple tree in the backyard of a home has a height of 0.75 meters.
To know the jow many times tall (t) is a nearby hickory tree that is 9 meters tall, we've to divide the height of the hickory tree by the height of the maple tree. This will be:
= 9meters / 0.75meters
= 12
Therefore, the hickory tree is 12 times tall as the maple tree.
Answer:
As attached
Step-by-step explanation:
Each time there are 6 possible outcomes.
If you roll four times, the number of possible outcomes would be 6^4, or 1296.
Final answer: 1296 configurations.