which displays data on bald eagle populations from 1963 to 2000 in the continental United States. Year Population of Breeding Pairs of Bald Eagles 1963 487 1974 791 1981 1,188 1986 1,875 1992 3,749 1996 5,094 2000 6,471 The graph below plots the quadratic p(t) = 6.48t2 − 80.31t + 585.69 against the data in preceding table, normalized so that t = 0 corresponds to 1963. Estimate the average number of bald eagles per year present for the 37 years by computing the average value of p over [0, 37].
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.
| Year | Population of Breeding Pairs of Bald Eagles |
|---|---|
| 1963 | 487 |
| 1974 | 791 |
| 1981 | 1,188 |
| 1986 | 1,875 |
| 1992 | 3,749 |
| 1996 | 5,094 |
| 2000 | 6,471 |
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