Assume you had the following information regarding three different tests you took: The MATH test mean was 70; the standard deviation was 2; your score is 66. The VERBAL test mean was 60; the standard deviation was 3; your score is 57. The SCIENCE test mean was 80; the standard deviation was 3; your score is 83. On which of the 3 tests did you have your worst performance, relative to other students? A. Math B. Verbal C. Science
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.
Assume you had the following information regarding three different tests you took:
- The MATH test
mean was 70; the standard deviation was 2; your score is 66. - The VERBAL test mean was 60; the standard deviation was 3; your score is 57.
- The SCIENCE test mean was 80; the standard deviation was 3; your score is 83.
On which of the 3 tests did you have your worst performance, relative to other students?
A. Math
B. Verbal
C. Science
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