The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below. 37 50 23 67 25 13 55 14 49 3 13 41 42 101 30 17 12 52 21 2 17 27 91 26 14 20 Click here for the Excel Data File (a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)
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 durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below.
| 37 | 50 | 23 | 67 | 25 | 13 | 55 | 14 | 49 | 3 | 13 | 41 | 42 |
| 101 | 30 | 17 | 12 | 52 | 21 | 2 | 17 | 27 | 91 | 26 | 14 | 20 |
(a) Find the mean, median, and
| Data | ||
| Mean | ||
| Median | ||
| Mode | ||
(b) Are the mean and median about the same?
(Click to select) Yes No , the mean is (Click to select) greater than less than the median.
(c) Is the mode a good measure of center for this data set?
multiple choice 3
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Yes
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No
(d) Is the distribution skewed?
multiple choice 4
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Yes, the distribution is skewed left.
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No, the distribution is symmetric.
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Yes, the distribution is skewed right.
Mean: The mean is the sum of observations divided by the number of observations. that is,
Mean =
Notations:
The sample mean = and
Population mean = μ
Median: The median is the value of the middlemost observation in the data set when the observation is arranged in increasing (or decreasing) order of their values.
The formula for median:
Mode: The mode is the value that is repeated maximum times.
we can denote it by Mo.
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