Income (in thousands of dollars)(Source: U.S. Census Bureau)11. Archaeology The depths (in inches) at which 10 artifacts are found arelisted.E120.7 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 (inthousands) per year from 2005 through 2015 (Source: National Highway Traffico .Safety Administration)14 13 13 12 11 10 10 10 10 10 10 istics14. Density The densities (in kilograms per cubic meter) of the ten mostabundant elements by weight in Earth's crust213EKEWCI21.4 2330 2700 7870 1500970900 1740 4500 0.09Finding Sample Statistics In Exercises 15 and 16, find the range, mean,variance, and standard deviation of the sample data set.1415. Ages of Students The ages (in years) of a random sample of studentsin a campus dining hall19 20 17 19 17 21 23 21 17 1719 19 17 20 23 18 18 18 18 1916. Pregnancy Durations The durations (in days) of pregnancies for arandom sample of motherssb277 291 295 280 268 278 291277 282 279 296 285 269 293286 269 264 299 275281

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Asked Oct 1, 2019
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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? 

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
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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

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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
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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

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Expert Answer

Step 1
  1. According to the provided data, the range can be obtained as:

Range = Maximum value – Minimum value

Range =7870 – 0.09

Range =7869.91

The final range can be approximated to 7870.

Step 2

The mean of the population data set can be obtained as:

Σχ
п
1.4 2330 4500 0.09
10
22511.49
10
2251.149
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Σχ п 1.4 2330 4500 0.09 10 22511.49 10 2251.149

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Step 3

The variance of the population da...

Σ(x-3
2-
(1.4-2251.149) +(2330-2251.149)+
+(4500-2251.149) +(0.09-2251.149)
10
5125758.4
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Σ(x-3 2- (1.4-2251.149) +(2330-2251.149)+ +(4500-2251.149) +(0.09-2251.149) 10 5125758.4

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