Calculate the sample mean and sample variance for the following frequency distribution of final exam scores in a statistics class. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Final Exam Scores Class Frequency 61 - 6861 - 68 44 69 - 7669 - 76 1010 77 - 8477 - 84 1414 85 - 9285 - 92 66 93 - 10093 - 100 55
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.
Calculate the sample
| Class | Frequency |
|---|---|
| 61 - 6861 - 68 | 44 |
| 69 - 7669 - 76 | 1010 |
| 77 - 8477 - 84 | 1414 |
| 85 - 9285 - 92 | 66 |
| 93 - 10093 - 100 | 55 |
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
