On a recent math test, the boys in Mr. Wadsworth's class seemed to have outscored the girls. The mean score for the boys was 84 with a range of 90 while the girls' mean score was 80 with a range of 40. What can you infer from these summary statistics? O There was much more variability in the boys' scores. O The girls' mean score was driven down by outliers. O The boy's mean score was driven up by outliers. O The variability between score count was minimal.
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.
![On a recent math test, the boys in Mr. Wadsworth's class seemed to have outscored the girls. The mean
score for the boys was 84 with a range of 90 while the girls' mean score was 80 with a range of 40. What
can you infer from these summary statistics?
O There was much more variability in the boys' scores.
O The girls' mean score was driven down by outliers.
O The boy's mean score was driven up by outliers.
O The variability between score count was minimal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31bc25ae-f2f0-4125-b8aa-d183add080e5%2Fddec2484-c64b-418e-9986-ad2261d587d4%2F85s0v4r_processed.jpeg&w=3840&q=75)
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