A sample was taken of the verbal test scores of 20 applicants to graduate school at a large midwestern university. Below are tne scores. For convenience, the data are ordered. 310 340 510 520 520 580 630 280 350 370 400 420 420 420 430 480 670 720 750 770 (All answers should be exact calculations.) a. The median is b. The first quartile is | c. The third quartile is d. The IQR is e. The lower fence is f. The upper fence is 9. Is/Are there any outlier(s)? O Both 750 and 770 are outliers. O The value 280 is an outlier. O The value 770 is an outlier. O Both 280 and 770 are outliers. O There are no outliers. h. If 25 points were added to each score, what happens to the resulting standard deviation of the new scores? Olt would increase by 25. Olt would be unchanged. Olt would increase by 5. O t cannot be determined. O t would increase by 625.
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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