f 70-74 3 65-69 4 60-64 8 55-59 2 50-54 1 45-49 1 i. What score has percentile rank of 70%? ii. What is the percentile rank for the score of 70?
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.
Consider the following grouped frequency distribution table,
X f
70-74 3
65-69 4
60-64 8
55-59 2
50-54 1
45-49 1
i. What score has percentile rank of 70%?
ii. What is the percentile rank for the score of 70?
Since the class limits are not overlapping the lower limit is subtracted by 0.5 and upper limit is added by 0.5.
The table showing the new class limits and cumulative frequency are:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
