8. The following is the record of ratings of 40 players in a toumament. 65 73 85 33 53 29 91 58 76 43 86 57 33 27 72 19 80 40 37 4 18 51 67 13 45 61 92 39 23 22 22 19 41 35 27 39 51 63 72 47 a. Find the number of classes or intervals required and the class width. b. Construct a frequency distribution table using the classes determined in (a). c. Draw a cumulative frequency curve and use it to find the median, and the upper and lower quartiles. d. Draw a histogram and use it estimate the mode and the median.
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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