Below is a list of vertical jumps (in cm) for 24 athletes who compete in various different sports. 28 45 55 46 70 72 62 32 75 68 74 54 50 62 63 31 55 68 73 55 60 69 68 92 Part A. Using # of classes = 4, create a frequency table for the given data set, and use your frequency table to construct a histogram. Part B. Using the data set above, calculate the quartiles Qi where i = 0, 1, 2, 3, 4, and construct a box-and-whiskers plot for this data set. Part C. Calculate the 15th percentile of this data set.
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.
Below is a list of vertical jumps (in cm) for 24 athletes who compete in various different sports.
28 45 55 46 70 72 62 32 75 68 74 54 50 62 63 31 55 68 73 55 60 69 68 92
Part A. Using # of classes = 4, create a frequency table for the given data set, and use your frequency table to construct a histogram.
Part B. Using the data set above, calculate the
Part C. Calculate the 15th percentile of this data set.
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