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.
![### Intermediate Geometry: Finding the Midpoint
**Problem:**
Find the midpoint of the segment with the following endpoints: (-8, 5) and (3, 10).
To find the midpoint of a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:
\[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
#### Step-by-Step Solution:
1. **Identify the coordinates of the endpoints:**
- Endpoint 1: \((-8, 5)\)
- Endpoint 2: \((3, 10)\)
2. **Apply the midpoint formula:**
- \(x\)-coordinate of the midpoint = \(\frac{-8 + 3}{2} = \frac{-5}{2} = -2.5\)
- \(y\)-coordinate of the midpoint = \(\frac{5 + 10}{2} = \frac{15}{2} = 7.5\)
3. **Write down the midpoint:**
\[
\left( -2.5, 7.5 \right)
\]
Thus, the midpoint of the segment with the endpoints (-8, 5) and (3, 10) is \((-2.5, 7.5)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F127b58e8-8d45-498a-83aa-0bdf8df8ec2a%2Ffcdd4fb8-bd2e-49d8-a00d-ac5599c11621%2Fs3cs388_processed.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps with 2 images
