n an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session for the students. A pretest is given before the session and a posttest is given after. The results are given in the table below. At , can it be concluded, that the sessions help to improve the students’ mathematical skills? Student 1 2 3 4 5 6 7 8 9 10 Pretest 82 76 91 62 81 67 71 69 80 85 Posttest 88 80 98 80 80 73 74 78 85 93
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.
- In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session for the students. A pretest is given before the session and a posttest is given after. The results are given in the table below. At , can it be concluded, that the sessions help to improve the students’ mathematical skills?
|
Student |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
Pretest |
82 |
76 |
91 |
62 |
81 |
67 |
71 |
69 |
80 |
85 |
|
Posttest |
88 |
80 |
98 |
80 |
80 |
73 |
74 |
78 |
85 |
93 |
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