The following is the record of ratings of 40 players in a tournament. 65 85 91 58 43 86 73 33 76 80 57 33 53 29 40 27 72 19 51 67 37 4 18 92 13 45 61 39 23 22 22 41 27 51 63 47 19 35 39 72 (a) Find the number of classes or intervals required and the class width
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.
The following is the record of ratings of 40 players in a tournament.
65 85 91 58 43 86
73 33 76 80 57 33
53 29 40 27 72 19
51 67 37 4 18 92
13 45 61 39 23 22
22 41 27 51 63 47
19 35 39 72
(a) Find the number of classes or intervals required and the class width
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