A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the following table. Time (s) Distance (m) 35 200 74 400 116 600 169 800 226 1000 285 1200 347 1400 419 1600 (a) What was the man's average speed (rate) between 74 s and 169 s? (Round your answer to two decimal places.) m/s (b) What was the man's average speed between 285 s and 419 s? (Round your answer to two decimal places.) m/s (c) Calculate the man's speed for each lap. Is he slowing down, speeding up, or neither? O slowing down O speeding up O neither
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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