e durations (minutes) of 26 electric power outages in the community of Sonando Heights over t own below. 39 48 22 68 24 15 52 13 49 13 43 41 99 31 19 13 52 20 3 17 26 92 24 15 20 e Click here for the Excel Data File a) Find the mean, median, and mode. (Round your answers to 2 decimal places.) Data Descriptive Statistics Mean Mediam Mode
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.
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### Instructions:
#### (a) Find the Mean, Median, and Mode of the outage durations.
- **Mean**: The average value of the data set.
- **Median**: The middle value when the data set is ordered from least to greatest.
- **Mode**: The most frequently occurring value in the data set.
*Round your answers to 2 decimal places.*
| Descriptive Statistics | Data |
|------------------------|------|
| Mean | |
| Median | |
| Mode | |
### Note:
To calculate these values accurately, you might consider using statistical software or the provided Excel data file.
Make sure to input your calculations correctly and cross-verify the computed values. If you're unsure of the steps to find the mean, median, and mode, refer to the supplementary course material provided.
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### Visual Aids
While this content does not include graphs or figures, consider creating a box plot or histogram to visualize the data distribution. This can aid in understanding the central tendency and variability in the power outage durations.
**End of Section**
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