The durations (minutes) of 26 electric power outage 36 49 24 66 25 12 55 12 se 33 20 14 5e 22 2 18 26 medie excel.ong% Click here for the Excel Dete e) Find the mean, median and mode. (Round your
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.
![The image is a question from an educational website titled "8-1 Final Exam."
**Question 12:**
The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below:
36, 49, 24, 23, 99, 24, 16, 32, 14, 43, 14, 44, 42, 182, 33, 22, 24, 15, 16, 50, 56, 20, 14, 43, 26, 16
1. **Click here for the Excel Data File** (link provided)
**Questions:**
(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)
- **Descriptive Statistics**
- Mean: [Data field]
- Median: [Data field]
- Mode: [Data field]
(b) Are the mean and median about the same?
- [Dropdown menu] the mean is [Dropdown menu] the median.
(c) Is the mode a good measure of center for this data set?
- [ ] Yes
- [ ] No
There are no graphs or diagrams in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81cd2b4f-e3b9-44c9-9d76-8e9a712db006%2Ff069b5ad-ad1f-45b3-9b66-479ba8262762%2Fspo8zhz_processed.jpeg&w=3840&q=75)
![Here is the transcription and explanation of the educational content from the image:
---
### Problem 12
**Descriptive Statistics:**
- Data Fields:
- Mean: [____]
- Median: [____]
- Mode: [____]
**Instructions:**
(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)
(b) Are the mean and median about the same?
- [Dropdown Menu] the mean is [Dropdown Menu] the median.
(c) Is the mode a good measure of center for this data set?
- Yes
- No
(d) Is the distribution skewed?
- Yes, the distribution is skewed left.
- Yes, the distribution is skewed right.
- No, the distribution is symmetric.
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- Page 12 of 19
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### Explanation:
This exercise is designed to help students understand basic descriptive statistics, including mean, median, mode, and the concept of skewness in a distribution.
- **Mean** is the average of all data values.
- **Median** is the middle value when all data points are arranged in order.
- **Mode** is the most frequently occurring data point in the set.
Students are required to calculate these statistics (mean, median, mode) and then analyze their relationship and determine if the distribution is skewed and in which direction. Skewness indicates if data points are more spread out on one side of the distribution, affecting how the mean compares to the median.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81cd2b4f-e3b9-44c9-9d76-8e9a712db006%2Ff069b5ad-ad1f-45b3-9b66-479ba8262762%2F9ykgn8e_processed.jpeg&w=3840&q=75)

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