The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates. Use the frequency distribution to approximate the population mean and population standard deviation. Compare these results to the actual mean p = $1.481 and standard deviation a = $0.971. E Click the icon to view the frequency distribution for the tax rates. The population mean is S (Round to three decimal places as needed.) Frequency distribution of cigarette tax rates - X The population standard deviation is S (Round to three decimal places as needed.) Tax Rate 0.00-0.49 0 50-0 99 1.00-1.49 1.50-1.99 2.00-2.49 2 50-2.99 3.00-3.49 3 50-3 99 4.00 4 49 Frequency O 7. 14 Compare these results to the values found using the actual data. 6. O A. The grouped values are both slightly larger. O B. The grouped values are both slightly smaller. OC. The grouped mean is slightly larger, while the grouped standard deviation OD. The grouped mean is slightly smaller, while the grouped standard deviation is slightly larger. slightly smaller. 3 1 Print Done
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.
Given Frequency distribution:
| Tax rate | Frequency |
| 0.00-0.49 | 7 |
| 0.50-0.99 | 14 |
| 1.00-1.49 | 6 |
| 1.50-1.99 | 7 |
| 2.00-2.49 | 6 |
| 2.50-2.99 | 5 |
| 3.00-3.49 | 3 |
| 3.50-3.99 | 1 |
| 4.00-4.49 | 1 |
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