The data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. Construct (a) a relative frequency distribution (b) a frequency histogram, and (c) a relative frequency histogram. What percentage of players had a top speed between 14 and 17.9 km/h? What percentage of players had a top speed less than 13.9 km/h? Speed (km/hr) Number of Players 10–13.9 4 14–17.9 8 18–21.9 18 22–25.9 76 26–29.9 268 30–33.9 177 (a) Construct a relative frequency distribution. Speed (km/hr) Relative Frequency 10–13.9 14–17.9 18–21.9 22–25.9 26-29.9 30–33.9 (Round to four decimal places as needed.)
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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