Exactly half of all data from a normally distributed population is below the population median. Suppose we have a list of 6 numbers. Suppose we then add one number that is smaller than the minimum, and one number that is larger than the maximum. Then the median of the new list of 8 numbers will be the same as the median of the original list. F) If a population median is greater than a population mean for a continuous distribution, then more than half of the population data should be greater than the population mean.
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.
True/False Concept Check
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Exactly half of all data from a
normally distributed population is below the populationmedian . -
Suppose we have a list of 6 numbers. Suppose we then add one number that is smaller than the minimum, and one number that is larger than the maximum. Then the median of the new list of 8 numbers will be the same as the median of the original list.
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F) If a population median is greater than a population
mean for a continuous distribution, then more than half of the population data should be greater than the population mean. -
A frequency histogram and relative frequency histogram are proportionally identical
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