Six different rain gauges on campus recorded the following precipitations during the month of January: 8.4, 9.8, 11.1, 4.6, 16.0, and 10.3 in. Find the sample standard deviation, the inter quartile range, and the average intensity (in/hr) for the 25-year storm in Maimi, FL that lasts an hour and a half.
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.
Six different rain gauges on campus recorded the following precipitations during the month of January: 8.4, 9.8, 11.1, 4.6, 16.0, and 10.3 in. Find the sample standard deviation, the inter
Here,
| x | ||
| 8.4 | -1.63 | 2.6569 |
| 9.8 | -0.23 | 0.0529 |
| 11.1 | 1.07 | 1.1449 |
| 4.6 | -5.43 | 29.4849 |
| 16 | 5.97 | 35.6409 |
| 10.3 | 0.27 | 0.0729 |
| Total 60.2 | 69.0534 |
where the average is
Then, the standard deviation is
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