The scores on an aptitude test are normally distributed with a mean of 18 and standard deviation of 6. Points are awarded in increments of 0.1. a. What score would a student need to have to be in the top 50%? b. What score would a student need to have to be in the top 10%? c. What score would a student need to have to be in the 10th percentile?
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.
The scores on an aptitude test are
a. What score would a student need to have to be in the top 50%?
b. What score would a student need to have to be in the top 10%?
c. What score would a student need to have to be in the 10th percentile?
d. What score would a student need to have to be in the 99th percentile?
e. What score would a student need to have to be in the 75th percentile?
f. What score would a student need to have to be in the 25th percentile?
g. What is the IQR of all scores?
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