This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places. 20.9 39.5 13 23 14.4 43.9 47.5 34 40.6 Mean = Standard Deviation = Variance = Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation. Population 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 given data from the sample is as follows:
| x |
| 20.9 |
| 39.5 |
| 13 |
| 23 |
| 14.4 |
| 43.9 |
| 47.5 |
| 34 |
| 40.6 |
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