Shown are the final scores for Norm Duke in the past eight bowling tournaments. 299, 281, 285, 269, 280, 269, 286, 287 Activity 1 of 2 Part A: What is the mean absolute deviation of Norm Duke’s scores?
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.
Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
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A.
6.75
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B.
7.50
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C.
7.00
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D.
7.25
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
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A.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
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B.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.
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C.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.
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D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.
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