127.8 95.1 127.8 82.9 98.9 104 109 118.5 127.8 105.8 What is the arithmetic mean of this data set? mean = %3D What is the median of this data set?
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.
![### Analyzing a Data Set
The following values refer to the given data set:
```
127.8, 95.1, 127.8, 82.9, 98.9,
104, 109, 118.5, 127.8, 105.8
```
#### Questions:
1. **What is the arithmetic mean of this data set?**
- **Mean =** [Input box]
2. **What is the median of this data set?**
- **Median =** [Input box]
3. **What is the mode of this data set?**
- **Mode =** [Input box]
[Submit Question button]
#### Instructions:
- **Arithmetic Mean**: The arithmetic mean is calculated by adding all the numbers in a data set and then dividing by the number of values in that set.
- **Median**: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
- **Mode**: The mode is the value that appears most frequently in a data set.
Click the "Submit Question" button to submit your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbec6fba6-4edb-4044-b5ce-d54d1586b80f%2Fb5986cfe-e79e-4b1a-9dd9-dc3caa550021%2Fnamgjm.jpeg&w=3840&q=75)
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