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.
![### Right Triangle ABC
The image depicts a right triangle labeled as triangle ABC where angle B is the right angle (90 degrees). Here are the details of the sides:
- **Side \(AB\)**: This is one of the two legs forming the right angle. It is perpendicular to side \(BC\).
- **Side \(BC\)**: This is the other leg forming the right angle at B. The length of side \(BC\) is labeled as 24 units.
- **Side \(AC\)**: This is the hypotenuse of the right triangle, which is the side opposite the right angle. The length of the hypotenuse is labeled as 25 units.
The right angle at point B is indicated with a small square in the corner.
### Explanation
In the context of right triangles, the lengths of the sides are often related according to the Pythagorean theorem. The theorem states that in a right-angled triangle:
\[ \text{(Length of Hypotenuse)}^2 = \text{(Length of one leg)}^2 + \text{(Length of other leg)}^2 \]
In this diagram, the hypotenuse \(AC\) is labeled 25, and one of the legs \(BC\) is labeled 24. To find the length of the other leg \(AB\), you would perform the following calculation:
\[ AC^2 = AB^2 + BC^2 \]
\[ 25^2 = AB^2 + 24^2 \]
\[ 625 = AB^2 + 576 \]
\[ AB^2 = 625 - 576 \]
\[ AB^2 = 49 \]
\[ AB = \sqrt{49} \]
\[ AB = 7 \]
Therefore, the length of side \(AB\) is 7 units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60897a88-2068-4dd8-9c40-1650c1de52f4%2F66797caf-4253-4d71-8a53-970fa569a2b8%2Fhrgr207_processed.jpeg&w=3840&q=75)
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