Samantha took an exam in her statistics class and received 90 out of 100. Samantha thought that was a good score, but she wanted to know how high her score was in relation to the rest of the class. Her professor said her Z-score was -0.29. How should Samantha interpret her Z-score? a. Samantha’s score is 0.29 points above the class mean. b. Samantha’s score is 29% above than the class mean. c. Samantha’s score is 0.29 standard deviations above the class mean. d. Samantha’s score is 0.29 standard deviations below the class mean.
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.
Samantha took an exam in her statistics class and received 90 out of 100. Samantha thought that was a good score, but she wanted to know how high her score was in relation to the rest of the class. Her professor said her Z-score was -0.29. How should Samantha interpret her Z-score?
a. Samantha’s score is 0.29 points above the class
b. Samantha’s score is 29% above than the class mean.
c. Samantha’s score is 0.29 standard deviations above the class mean.
d. Samantha’s score is 0.29 standard deviations below the class mean.
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