8 The box-and-whisker plots show the scores in a mathematics test for 60 boys (top) and 60 girls (bottom). Boys Girls 0 10 20 30 40 50 60 70 80 90 100 Marks a. Write down the median score for the boys and the girls. b. Find the interquartile range for the boys and for the girls. C. Write down the percentage of boys who scored between 45 and 55.
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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