The following table gives a sample of the percentage of current users of alcohol and cigarettes in the 18- to 25-year-old age group in the United States for some recent selected years. Find the average, sample variance, and sample standard deviation of each. (Round your answers to four decimal places.) Alcohol 72 68 74 79 75 80 Cigarettes 19 20 27 30 29 17 Alcohol: mean sample variance sample standard deviation Cigarettes: mean sample variance sample standard deviation Which group of users is varying more? cigarettesalcohol cannot be determined
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 table gives a sample of the percentage of current users of alcohol and cigarettes in the 18- to 25-year-old age group in the United States for some recent selected years. Find the average, sample variance, and sample standard deviation of each. (Round your answers to four decimal places.)
| Alcohol | 72 | 68 | 74 | 79 | 75 | 80 |
| Cigarettes | 19 | 20 | 27 | 30 | 29 | 17 |
Alcohol:
| sample variance | ||
| sample standard deviation |
Cigarettes:
| mean | ||
| sample variance | ||
| sample standard deviation |
Which group of users is varying more?
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