National Center for Health Statistics compiles data on the length of stay by pa-tients in short-term hospitals and publishes its findings in Vital and Health Statistics. Data from a sample of39 male patients and 35 female patients on length ofstay (in days) are displayed in the histograms on thenext page. a) What would you suggest be changed about these histo-grams to make them easier to compare? b) Describe these distributions by writing a few sentencescomparing the duration of hospitalization for men andwomen.c) Can you suggest a reason for the peak in women’slength of stay?
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.
tients in short-term hospitals and publishes its findings
39 male patients and 35 female patients on length of
stay (in days) are displayed in the histograms on the
next page.
grams to make them easier to compare?
comparing the duration of hospitalization for men and
women.
c) Can you suggest a reason for the peak in women’s
length of stay?
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