Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 65 61 85 24 58 15 86 60 46 76 9 D Range = (Round to one decimal place as needed.) Sample standard deviation = (Round to one decimal place as needed.) Sample variance = (Round one decimal place as needed.) What do the results tell us? O A. Jersey numbers on a football team do not vary as much as expected. O B. Jersey numbers on a football team vary much more than expected. O C. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless. O D. The sample standard deviation is too large in comparison to the range.
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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