Calculate the coefficient of Quartile Deviation the given sets of data, and comment on both answer in term of dispersion.
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.
For data 01:
We first need to sort the frequency data given before proceeding with the quartiles calculation
Sorted data = 10, 16, 23, 23, 24, 32, 33, 33, 34.8, 43, 44.5, 45, 45, 65, 65.2
n = 15
First quartile Q1 =
Third quartile Q3 =
Using the values for Q1 and Q3, now we can calculate the Coefficient Quartile Deviation as follows:
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