Use the following data obtained from ages of the last six U. S. Presidents at the time of their inauguration to answer the following questions: Ages of Last 6 Presidents at Inauguration Ronald Reagan 69 George Bush 64 Bill Clinton 46 George W. Bush 54 Barack Obama 47 Donald Trump 70 1. Find the mean of the data set. (Round to one decimal place.) 2. Find the standard deviation of the data set. (Do not round until the final answer. Round final answer to 1 decimal place.) 3. What percentage of presidents’ ages fall within one standard deviation of the mean? (Round to 1 decimal place.)
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.
Use the following data obtained from ages of the last six U. S. Presidents at the time of their inauguration to answer the following questions:
|
Ages of Last 6 Presidents at Inauguration |
|
|
Ronald Reagan |
69 |
|
George Bush |
64 |
|
Bill Clinton |
46 |
|
George W. Bush |
54 |
|
Barack Obama |
47 |
|
Donald Trump |
70 |
1. Find the
2. Find the standard deviation of the data set. (Do not round until the final answer. Round final answer to 1 decimal place.)
3. What percentage of presidents’ ages fall within one standard deviation of the mean? (Round to 1 decimal place.)
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