The IQ scores for a sample of 24 students who are entering their first year of high school are: 115 119 119 134 121 128 128 152 97 108 98 130 108 110 111 122 106 142 143 140 141 151 125 126 (a) Make a cumulative percentage graph using classes of seven points starting with 96 − 102. (b) What scores are below the 25th percentile? (c) What scores are above the 75th? (d) What is the median score
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 IQ scores for a sample of 24 students who are entering their first year of high school are: 115 119 119 134 121 128 128 152 97 108 98 130 108 110 111 122 106 142 143 140 141 151 125 126 (a) Make a cumulative percentage graph using classes of seven points starting with 96 − 102. (b) What scores are below the 25th percentile? (c) What scores are above the 75th? (d) What is the median score?
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