1. A ball is dropped from a tower 520 meters off the ground. Suppose that the height in meters off the ground of the ball after t seconds is given by the function s(t) = 520 - 9t2. Determine the instantaneous velocity of the ball after 5 seconds, using the numerical method. A table has been provided for you. t 1 s(t 1) t 2 s(t_2) average velocity 4.5 4.8 4.9 4.999 5.001 5.1 5.2 5.5 Instantaneous Velocity:
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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