The following are that scores of 20 students who took a calculus exam. Find the mean and standard deviation of the given data. Round to the nearest tenth, if necessary. Scores 76 82 85 90 92 95 Frequency 5 2 3 4 3 3
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 are that scores of 20 students who took a calculus exam. Find the mean and standard deviation of the given data. Round to the nearest tenth, if necessary.
| Scores | 76 | 82 | 85 | 90 | 92 | 95 |
| Frequency | 5 | 2 | 3 | 4 | 3 | 3 |
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