hat percentage of students scored above 26? b. What percentage of the students scored between 18 and 23? c. What percentage of scores fell less than 25? d. What percentage of scores feel between 19 and 21? e. Determine the score below which 90 percent of the scores fell
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.
- A recent study explores the relationship between teacher unions and student educational performance as measured by standardized tests, such as the ACT. Use the ACT statistics shown here to answer the following questions. The distribution is normal. Draw the normal curve and label all target areas.
the mean ACT score = 22
the standard deviation = 2
and the distribution is normal.
a. What percentage of students scored above 26?
b. What percentage of the students scored between 18 and 23?
c. What percentage of scores fell less than 25?
d. What percentage of scores feel between 19 and 21?
e. Determine the score below which 90 percent of the scores fell.
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