The following table gives the math SAT scores for some recent selected years. Find the average, variance, and standard deviation of each. (Round your answers to four decimal places.) Males 499 502 504 503 498 Females 446 453 455 452 450 Males: mean variance standard deviation Females: mean variance standard deviation
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.
The following table gives the math SAT scores for some recent selected years. Find the average, variance, and standard deviation of each. (Round your answers to four decimal places.)
| Males | 499 | 502 | 504 | 503 | 498 | |
| Females | 446 | 453 | 455 | 452 | 450 |
Males:
| variance | ||
| standard deviation |
Females:
| mean | ||
| variance | ||
| standard deviation |
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