Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 19 14 9 3 10 15 20 4 10 20 14 6 16 13 The range of the sample data is nothing
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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19
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14
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9
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3
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10
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15
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20
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|
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4
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10
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20
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14
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6
|
16
|
13
|
|
Given, the numbers of hurricanes that occurred in each year in a certain region.
The data arranged is ascending order is given as-
3,4,6,9,10,10,13,14,14,15,16,19,20,20
Here,
Maximum value=20
Minimum value=3
The required range is obtained as-
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