A teacher used the scores of 9 students to identify the variability of students’ performance on the midterm exam of Statistics and Probability. Scores 16 43 43 41 43 43 44 43 44 What is the average score of the selected students? When arranged from highest to lowest, what is the middle value? What is the range of the data set?
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.
A teacher used the scores of 9 students to identify the variability of students’ performance on the midterm exam of Statistics and Probability.
| Scores | 16 | 43 | 43 | 41 | 43 | 43 | 44 | 43 | 44 |
|---|
- What is the average score of the selected students?
- When arranged from highest to lowest, what is the middle value?
- What is the
range of the data set?
- What is the sample standard deviation of the data set? (Round off your answer in two decimal places.)
- What is the sample coefficient of variation of the data set? (Round off your answer in two decimal places. Also, do not put a percent sign.) %
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