Heights of men have a mean of 69.0 inches and a standard deviation of 2.8 inches. Find each of the following z-scores and tell if it is unusual. a) Nosferatu is 7 ft. 1 in. tall: z = and that is (unusual/not unusual) b) Bob the Builder is 5 ft. 4 in. tall: z = and that is (unusual/not unusual) c) Kendrick is 69.72 inches tall: z = and that is (unusual/not unusual)
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.
Heights of men have a mean of 69.0 inches and a standard deviation of 2.8 inches.
Find each of the following z-scores and tell if it is unusual.
a) Nosferatu is 7 ft. 1 in. tall: z = and that is (unusual/not unusual)
b) Bob the Builder is 5 ft. 4 in. tall: z = and that is (unusual/not unusual)
c) Kendrick is 69.72 inches tall: z = and that is (unusual/not unusual)
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