The frequency distribution in the following table lists the results of a quiz given in Professor Gilbert's statistics class. Find the mean, median, and mode of the scores. (Round the mean to one decimal place. If more than one mode exists, separate your answers with commas. If an answer does not exist, enter DNE.) Quiz grades Score Number of Students 10 4 9 11 8 10 7 9 6 11 5 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 frequency distribution in the following table lists the results of a quiz given in Professor Gilbert's statistics class. Find the mean, median, and mode of the scores. (Round the mean to one decimal place. If more than one mode exists, separate your answers with commas. If an answer does not exist, enter DNE.)
Quiz grades
| Score | Number of Students |
|---|---|
| 10 | 4 |
| 9 | 11 |
| 8 | 10 |
| 7 | 9 |
| 6 | 11 |
| 5 | 3 |
Mean: Round your answer to the nearest tenth.
Median:
Mode:
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