X_ f 70-79 1 60-69 2 50-59 5 40-49 6 30-39 4 20-29 1 10-19 1 a. What score has a percentile rank of 60%? b. What score has a percentile rank of 50% c. What is the percentile rank for X = 45?
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.
X_ f
70-79 1
60-69 2
50-59 5
40-49 6
30-39 4
20-29 1
10-19 1
a. What score has a percentile rank of 60%?
b. What score has a percentile rank of 50%
c. What is the percentile rank for X = 45?
d. What is the percentile rank for X = 32?
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