The scores on a standardized exam have a normal distribution. If the mean is 74 and the standard deviation is 2, then a score of 84 would fall a. below the 68th percentile b. between the 68th and 80th percentiles c. between the 80th and 95th percentiles d. between the 95th and 99th percentiles e. above the 99th 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 a standardized exam have a
a. below the 68th percentile
b. between the 68th and 80th percentiles
c. between the 80th and 95th percentiles
d. between the 95th and 99th percentiles
e. above the 99th percentile
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