Find the value of each variable. If your answer is not an integer, round to the nearest tenth.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![### Understanding Angles Around a Circle
**Problem 12:**
This problem involves finding the unknown angle \( x \) in a geometric diagram. Here is the detailed explanation and analysis of the diagram involved:
**Diagram Description:**
- The diagram features a circle with two intersecting lines creating an angle at the point where they intersect outside the circle.
- One of the angles formed (external angle) is labeled as \( 250^\circ \).
- The angle adjacent to this, formed inside the smaller triangular shape created by these lines, is labeled as \( x^\circ \).
**Concept Explored:**
In this problem, the concept of the sum of angles around a point is being examined. It is known that the angles around a point sum up to \( 360^\circ \).
**Steps to Solve:**
- Since \( x \) and the given \( 250^\circ \) angle are around a point, their sum should be \( 360^\circ \).
- Thus, you can find \( x \) by subtracting \( 250^\circ \) from \( 360^\circ \):
\[ x = 360^\circ - 250^\circ \]
\[ x = 110^\circ \]
**Conclusion:**
The unknown angle \( x \) is \( 110^\circ \).
By understanding the concept that the sum of angles around a point is \( 360^\circ \), this problem illustrates how to determine an unknown angle given one of the angles in a geometric figure.
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This image and explanation are provided for educational purposes to aid in understanding geometric properties and how to solve for unknown angles using fundamental properties of circles and angles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d85d9da-75db-48bf-a3cb-c4a1ef66ebdb%2F2432b662-1c3c-447b-ab41-9dd778b286e3%2Fq9iqtyp_processed.jpeg&w=3840&q=75)
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