5 scores has a mean of M = 12. If one person with a score of X = 18 is added to the sample, what is the value for the new
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 sample of n = 5 scores has a mean of M = 12. If one person with a score of X = 18 is added to the sample, what is the value for the new mean?
The mean formula is,
Mean = Sum of all observations/ Total observations,
Given:
Mean (M) = 12
Total observations (n)= 5
Substitute the values in the above-mentioned formula to find this sum of all observations (x) as follows:
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