1.Suppose the formative and summative grades in a College Algebra class for 11 students are given below: Students A B C D E F G H I J K Formative Grade 63 77 90 80 93 45 55 73 80 65 50 Summative Grade 85 100 95 97 100 80 90 97 90 92 75 Define D = Formative Grade – Summative Grade. Then what would be the mean and standard deviation of D based on the sample? (assume formative and summative grades are normally distributed) A. 70.09 and 15.85 B. 91 and 8.16 C. -20.91 and 7.69 D. -20.91 and 10.23
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.
Students A B C D E F G H I J K
Formative Grade 63 77 90 80 93 45 55 73 80 65 50
Summative Grade 85 100 95 97 100 80 90 97 90 92 75
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