If the marks of a group of 10 female students in an exam of probability and statistics are as follows: 11, 15, 17, 14, 16, 16, 14, 18, 17, 12 and the marks of another group of 12 male students in the same exam are as follows mean median mode s.d min max Q1 | 4 12 |40 | 13.4 | Q3 23.8 22.95 22.5 23 Where s.d = standard deviation Which group is more homogenous, the males' or females' group? Give the reason of your answer.
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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