Consider the following IQ test scores for 50 randomly chosen students, which are shown below. 118 127 112 121 78 112 131 133 98 133 113 119 107 103 94 106 121 98 114 144 109 128 112 123 138 86 127 100 105 116 124 110 129 104 112 129 103 102 77 92 110 128 75 102 128 94 94 120 116 90 1. Construct a frequency table for the data. Select an appropriate bin width and choose how to deal with observations that fall on the boundary of two bins. 2. Construct a frequency histogram using your frequency table. 3. What is the shape of the histogram?
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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