Lucy got a score of 75 from her statistics class. Assuming the scores of her class formed a normal distribution and had a mean of 60 and standard deviation of 5. i. What is Lucy’s percentile rank? ii. How would you explain Lucy’s percentile rank to your grandma? iii. Lucy’s history class also has a normal distribution on the first test (M = 70, S = 10) and her score was 75 too. Which class did she do relatively better or do you think she did equally well in both classes? Briefly explain.
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.
Lucy got a score of 75 from her statistics class. Assuming the scores of her class formed a
i. What is Lucy’s percentile rank?
ii. How would you explain Lucy’s percentile rank to your grandma?
iii. Lucy’s history class also has a normal distribution on the first test (M = 70, S = 10) and her score was 75 too. Which class did she do relatively better or do you think she did equally well in both classes? Briefly explain.
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