The following table shows the distribution of the lengths of hospital stays recorded by a random sample of 50 patients undergoing a particular surgical procedure at a large hospital. Length of Stay (days) Frequency 10-12 4 13-15 12 16-18 20 19-21 14 Total 50 a. Construct a relative frequency, percentage frequency and cumulative frequency distribution table. b. Please draw an appropriate graph of the above data set.
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.
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The following table shows the distribution of the lengths of hospital stays
recorded by a random sample of 50 patients undergoing a particular surgical
procedure at a large hospital.
Length of Stay (days) Frequency
10-12 4
13-15 12
16-18 20
19-21 14
Total 50
a. Construct a relative frequency, percentage frequency and cumulative
frequency distribution table.
b. Please draw an appropriate graph of the above data set.
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