The following frequency distribution shows the ACT scores of a sample of students: Score Frequency 14 - 18 4 19 - 23 6 24 - 28 10 29 - 33 2 For the above data, compute the following. a. The mean b. The standard deviation
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 frequency distribution shows the ACT scores of a sample of students:
|
Score |
Frequency |
|
14 - 18 |
4 |
|
19 - 23 |
6 |
|
24 - 28 |
10 |
|
29 - 33 |
2 |
For the above data, compute the following.
|
a. |
The |
|
b. |
The standard deviation |
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