36 49 24 66 25 12 55 12 50 4 14 43 42 102 33 20 14 50 22 2 18 26 89 26 14 20 I Click here for the Excel Data File (a) Find the mean, median, and mode. (Round your answers to 2 decimal places.) Descriptive Statistics Data Mean Median Mode (b) Are the mean and median about the same? the mean is the median.
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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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
66
25
12
55
12
50
4
14
43
42
102
33
20
14
50
22
2
18
26
89
26
14
20
E Click here for the Excel Data File
(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)
Descriptive Statistics
Data
Mean
Median
Mode
(b) Are the mean and median about the same?
the mean is
the median.
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Consider the following sample data.
Sample A:
Sample B:
Sample C:
13, 23, 33
71, 81, 91
1,050; 1,060; 1,070
(a) Find the mean and standard deviation for each sample.
Sample A
Sample B
Sample C
Mean
Sample Standard Deviation
(b) What does this exercise show about the standard deviation?
O The idea is to illustrate that the standard deviation is not a function of the value of the mean.
O The idea is to illustrate that the standard deviation is a function of the value of the mean."
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