The box-and-whisker plot shows the number of perfect scores on a mathematics standardized assessment for third- and fourth-grade students over the last 12 years. Third Graders Fourth Graders 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Perfect Scores Answer the following questions in complete sentences. • Describe the width of the boxes and whiskers for both grades. What does this mean in each case? • Describe the symmetry of the box plots for each grade. What does this mean in each case?
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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