Find the standard deviation for the following sample data: x freq. 5 2 6 3 7 8 8 1 9 6 10 4
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.
Find the standard deviation for the following sample data:
| x | freq. |
| 5 | 2 |
| 6 | 3 |
| 7 | 8 |
| 8 | 1 |
| 9 | 6 |
| 10 | 4 |
| x | f | fx | |
| 5 | 2 | 10 | 50 |
| 6 | 3 | 18 | 108 |
| 7 | 8 | 56 | 392 |
| 8 | 1 | 8 | 64 |
| 9 | 6 | 54 | 486 |
| 10 | 4 | 40 | 400 |
| =24 | =186 | =1500 |
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