An investigator collected A1c levels on a sample of 10 patients who were at risk of diabetes. The values for the 10 patients are 2,2,2,4,4,6,7,7,9 and 9. The mean was 5.2 with a standard deviation of 2.78. The median was 5 with an interquartile of 2 and 7. The investigator adds two more patients with values 1 and 12. Explain what will happen to the center and spread of this distribution
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.
An investigator collected A1c levels on a sample of 10 patients who were at risk of diabetes. The values for the 10 patients are 2,2,2,4,4,6,7,7,9 and 9. The mean was 5.2 with a standard deviation of 2.78. The
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