FIGURE 3-2 Hours of Sleep Each Day (24-hour period) 90 90 80 70 64 60 50 40 30 22 20 14 10 2 2 9.5 10.5 Hours of sleep 3.5 4.5 5.5 6.5 7.5 8.5 2. louenbe
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.
Grouped Data: Hours of Sleep per Day Alexander Borbely is a professor at the University of Zurich Medical School, where he is director of the sleep laboratory. The histogram in Figure S-2 is based on information from his book Secrets of Sleep. The histogram displays hours of sleep per day for a random sample of 200 subjects, Estimate the mean hours of sleep, the standard deviation of hours of sleep, and the coefficient of variation.
 alt="FIGURE 3-2
Hours of Sleep Each Day (24-hour period)
90
90
80
70
64
60
50
40
30
22
20
14
10
2
2
9.5 10.5
Hours of sleep
3.5
4.5
5.5
6.5
7.5
8.5
2.
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