Picture a group of ladies named Mildred, Agnes, Dorothy, and Blanche. Do they look young or old to you? Just by knowing someone’s name, you can make an educated guess on how old they actually are. An example of this is the name “Gertrude”. Generally, people named Gertrude are rather... antiquated (old). According to data from the SSA, the ages of all the living Gertrudes in the U.S. are approximately normally distributed with a mean of 81 years and a standard deviation of 12 years. If someone named Gertrude is selected at random, find the probability that that the data lands in section A, B, and C, rounded
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.
Picture a group of ladies named Mildred, Agnes, Dorothy, and Blanche. Do they look young or old to you? Just by knowing someone’s name, you can make an educated guess on how old they actually are. An example of this is the
name “Gertrude”. Generally, people named Gertrude are rather... antiquated (old). According to data from the SSA,
the ages of all the living Gertrudes in the U.S. are approximately
standard deviation of 12 years. If someone named Gertrude is selected at random, find the probability that that the data lands in section A, B, and C, rounded
accurately to 3 significant figures.
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