The IQ scores for a sample of 24 students who are entering their first year of college 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. Find the mean IQ score. b. Find the median IQ score. c. Find the modal IQ 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.
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Problem:
The IQ scores for a sample of 24 students who are entering their first year of college 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. Find the mean IQ score.
b. Find the
c. Find the modal IQ score.
d. Find the range.
e. Find the standard deviation.
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