For the data shown, answer the questions. Round to 2 decimal places. 24.6 9.5 13.6 7.5 2.1 23 29.8 7.6 Find the mean: Find the median: Find the sample standard deviation:
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.
![## Data Analysis Exercise
For the data shown, answer the questions. Round to 2 decimal places.
### Data Set:
\[
\begin{array}{|c|}
\hline
x \\
\hline
24.6 \\
9.5 \\
13.6 \\
7.5 \\
2.1 \\
23 \\
29.8 \\
7.6 \\
\hline
\end{array}
\]
---
### Questions:
1. **Find the mean:**
\[ \text{Mean} = \]
2. **Find the median:**
\[ \text{Median} = \]
3. **Find the sample standard deviation:**
\[ \text{Sample Standard Deviation} = \]
---
### Explanation:
- **Mean**: The mean is the average of all the numbers in the data set. Add all the numbers together and divide by the total count of numbers.
- **Median**: The median is the middle number of the data set when it is ordered in ascending or descending order. If the count of numbers is even, the median is the average of the two middle numbers.
- **Sample Standard Deviation**: This measures the amount of variation or dispersion in a set of values. It is calculated using the formula for the sample standard deviation.
---
Make sure to round your answers to 2 decimal places as specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F443e45af-3927-4fd9-baca-290567a407b3%2F2c3a1cd3-eba5-491a-9b4b-0bf8ede72252%2Fv4g8ha7_processed.png&w=3840&q=75)
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