Income (in thousands of dollars) (Source: U.S. Census Bureau) 11. Archaeology The depths (in inches) at which 10 artifacts are found are listed. E1 20.7 24.8 30.5 26.2 36.0 34.3 30.3 29.5 27.0 38.5 (a) Find the range of the data set. (b) Change 38.5 to 60.5 and find the range of the new data set. 12. In Exercise 11, compare your answer to part (a) with your answer to part (b). How do outliers affect the range of a data set? Finding Population Statistics In Exercises 13 and 14, find the range, mean, variance, and standard deviation of the population data set. 21: 13. Drunk Driving The numbers of alcohol-impaired crash fatalities (in thousands) per year from 2005 through 2015 (Source: National Highway Traffic o .Safety Administration) 14 13 13 12 11 10 10 10 10 10 10 istics 14. Density The densities (in kilograms per cubic meter) of the ten most abundant elements by weight in Earth's crust 213 EKEWCI2 1.4 2330 2700 7870 1500 970 900 1740 4500 0.09 Finding Sample Statistics In Exercises 15 and 16, find the range, mean, variance, and standard deviation of the sample data set. 14 15. Ages of Students The ages (in years) of a random sample of students in a campus dining hall 19 20 17 19 17 21 23 21 17 17 19 19 17 20 23 18 18 18 18 19 16. Pregnancy Durations The durations (in days) of pregnancies for a random sample of mothers sb 277 291 295 280 268 278 291 277 282 279 296 285 269 293 286 269 264 299 275 281
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.
On chapter 2 section 4 problem number 14 in the Elementary Statistics Seventh Edition Book, I got a different numbers in the variance and standard deviation questions. For variance I had gotten 5125754.86 and for standard deviation I got 2386.5 and even if the numbers are close to the answers, I’m not sure why they were still different?
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