A population has a mean of u = 50, and a standard deviation of a = 10. a] If 3 points were added to every score in the population, what would be the new values for the mean and standard deviation? b] If every score in the population were multiplied by 2 , then what would be the new values for the mean and standard deviation? [not sure why in the example given, in part a, the 3 points were only added to the mean of 50 to become 53 . But in part b, both the mean and the standard deviation were multiplued by the 2? ]
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.
A population has a
a] If 3 points were added to every score in the population, what would be the new values for the mean and standard deviation?
b] If every score in the population were multiplied by 2 , then what would be the new values for the mean and standard deviation?
[not sure why in the example given, in part a, the 3 points were only added to the mean of 50 to become 53 . But in part b, both the mean and the standard deviation were multiplued by the 2? ]
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