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.
![### Practice Problem: Identifying the Median
#### Given the following data set:
\[ 14, 13, 9, 12, 5, 15, 17, 16 \]
**Question:** Identify the median of the data set.
**Options:**
- ⬤ 5
- ⬤ 5
- ⬤ 10.5
- ⬤ 13.5
- ⬤ 12
#### Detailed Explanation:
To find the median of a data set, follow these steps:
1. **Order the Data:** Arrange the numbers in ascending order.
\[ 5, 9, 12, 13, 14, 15, 16, 17 \]
2. **Determine the Median:**
- If the number of data points is odd, the median is the middle number.
- If the number of data points is even (like in this case, since there are 8 numbers), the median will be the average of the two middle numbers.
The two middle numbers are the 4th and 5th values in the ordered list:
\[ 13 \text{ and } 14 \]
Calculate the average of these two numbers to get the median:
\[
\text{Median} = \frac{13 + 14}{2} = 13.5
\]
Thus, the correct answer is:
- ⬤ 13.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60ade77b-7e51-41dc-bdd0-ccbb34e2112c%2F57bb5d1c-c61b-4c8f-8c59-78e2d5981629%2Fvrjs5c_processed.jpeg&w=3840&q=75)
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