Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the USStates dataset, is given in the table below. Descriptive Statistics: Obese Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Obese 50 0 28.766 0.476 3.369 21.300 26.375 29.400 31.150 35.100 Percent of the population that is obese by state (a) What is the five number summary? The five number summary is ( (b) Give the range and the IQR. The range is . The IQR is . (c) What can we conclude from the five number summary about the location of the 30th percentile? The 65th percentile? The location of the 30th percentile is between and . The location of the 65th percentile is between and .
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.
Computer output giving
| Descriptive Statistics: Obese | ||||||||||
| Variable | N | N* | SE Mean | StDev | Minimum | Q1 | Q3 | Maximum | ||
| Obese | 50 | 0 | 28.766 | 0.476 | 3.369 | 21.300 | 26.375 | 29.400 | 31.150 | 35.100 |
Percent of the population that is obese by state
(a) What is the
The five number summary is
|
(
|
|
(b) Give the
The range is .
The IQR is .
(c) What can we conclude from the five number summary about the location of the 30th percentile? The 65th percentile?
The location of the 30th percentile is between and .
The location of the 65th percentile is between and .
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
