Mean, Variance, and Standard Deviation of the Probability Distribution 63 64 65 66 67 68 72 P(x) 0.1667 0.1667 0.1111 0.1875 0.2222 0.1667 0.0556 x • P(x) 10.5021 10.6688 7.2215 12.375 14.8874 11.3356 4.0032 x2 3,969 4,096 4,225 4,356 4,489 4,624 5,184 x² •P(x) 661.6323 682.8032 469.3975 816.75 997.4558 770.8208 288.2304
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.
find the standard deviation and variance
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