Calculate the standard deviation of the ages for the Last Six U.S. Presidents by hand by answering the following questions and filling in the table. We will want our final answer to be correct to 3 decimal places. So, to make sure we don't get any rounding error, we will do all calculations to 6 decimal places until the final answer. Round each answer to 6 decimal places. What is the mean age (¯X¯) of the Last Six Presidents? Round your answer to 6 decimal places. Mean = HINT: You are strongly encouraged to verify this calculation using your calculator Fill in the following values in the table using the rounded mean you got in the question above. Round each answer to 6 decimal places. Last Six Presidents Age (X-X¯)^2 Jimmy Carter 52 Ronald Reagan 69 George H.W. Bush 64 Bill Clinton 46 George W. Bush 54 Barack Obama 47 SUM What is the standard deviation of the Last Six Presidents? Round your answer to 3 decimal places as needed Standard Deviation = HINT: You are strongly encouraged to verify this calculation using your calculator
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.
Calculate the standard deviation of the ages for the Last Six U.S. Presidents by hand by answering the following questions and filling in the table. We will want our final answer to be correct to 3 decimal places. So, to make sure we don't get any rounding error, we will do all calculations to 6 decimal places until the final answer.
Round each answer to 6 decimal places.
What is the mean age (¯X¯) of the Last Six Presidents?
Round your answer to 6 decimal places.
Mean =
HINT: You are strongly encouraged to verify this calculation using your calculator
Fill in the following values in the table using the rounded mean you got in the question above.
Round each answer to 6 decimal places.
| Last Six Presidents | Age | (X-X¯)^2 |
|---|---|---|
| Jimmy Carter | 52 | |
| Ronald Reagan | 69 | |
| George H.W. Bush | 64 | |
| Bill Clinton | 46 | |
| George W. Bush | 54 | |
| Barack Obama | 47 | |
| SUM |
What is the standard deviation of the Last Six Presidents?
Round your answer to 3 decimal places as needed
Standard Deviation =
HINT: You are strongly encouraged to verify this calculation using your calculator
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