The ages of the first 16 U.S. presidents at the time of their first inauguration are displayed below: president age Washington 57 John Adams 61 Jefferson 57 Madison 57 Monroe 58 J.Q. Adams 57 Jackson 61 Van Buren 54 W.H. Harrison 68 Tyler 51 Polk 49 Taylor 64 Fillmore 50 Pierce 48 Buchanan 65 Lincoln 52 Using technology, compute each of the following summary statistics. Round your answers to the nearest 0.1 years. Note: You can directly copy and paste all data (NOT the text) median = 57 IQR = 9.5 mean = 56.8 standard deviation = 5.95
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 ages of the first 16 U.S. presidents at the time of their first inauguration are displayed below:
| president | age |
| Washington | 57 |
| John Adams | 61 |
| Jefferson | 57 |
| Madison | 57 |
| Monroe | 58 |
| J.Q. Adams | 57 |
| Jackson | 61 |
| Van Buren | 54 |
| W.H. Harrison | 68 |
| Tyler | 51 |
| Polk | 49 |
| Taylor | 64 |
| Fillmore | 50 |
| Pierce | 48 |
| Buchanan | 65 |
| Lincoln | 52 |
Using technology, compute each of the following summary statistics. Round your answers to the nearest 0.1 years. Note: You can directly copy and paste all data (NOT the text)
IQR = 9.5
mean = 56.8
standard deviation = 5.95
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