2. The data in the table represent the traning times (in seconds) for Adam and Miguel. Adam 103 105 104 106 100 98 92 91 97 101 Miguel 88 86 89 93 105 85 92 96 97 94 (a) All of the training times of which person had the greatest spread? Explain how you know. (b) The midde 50% of the training times of which person had the least spreada? Explain how you know. (c) What do the answers to Parts 2(a) and 2(b) tell you about Adam's and Miguels traning times?
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.
![2. The data n the table represent the training tmes (in seconds) for Adam and Miguel
Adam
103
105
104
106
100
98
92
91
97
101
Miguel
88
86
89
93
105
85
92
96
97
94
(b) The miodle 50% of the training tmes of which person hac the least spread? Explain how you kow.
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