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Several basic statistics and finite math problems

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Attached are the math/algebra problems that I am having a hard time solving. Please show your work so I have an understanding of how to solve future problems of these sorts....Thanks!

(Please see the attachment rather than the copied material here.)

____________________________________________________

Use the following to answer questions 1-2:

Continent or Region Land Area
(1,000 mi2)
% of Earth Population
1900 Population
1950 Population
2000
North America 9,400 16.2 106,000,000 221,000,000 305,000,000
South America 6,900 11.9 38,000,000 111,000,000 515,000,000
Europe 3,800 6.6 400,000,000 392,000,000 510,000,000
Asia (including
Russia) 17,400 30.1 932,000,000 1,591,000,000 4,028,000,000
Africa 11,700 20.2 118,000,000 229,000,000 889,000,000
Oceania (including
Australia) 3,300 5.7 6,000,000 12,000,000 32,000,000
Antarctica 5,400 9.1 Uninhabited ? ?
World Total 57,900 1,600,000,000 2,556,000,000 6,279,000,000

1. Use the world population and land area table.
What was the mean population of all inhabited areas except Asia in 2000?

A) 510,000,000 B) 193,000,000 C) 133,600,000 D) 450,200,000

2. Use the world population and land area table.
What is the total land area of South America?

A) 6,900,000 mi2 B) 38,000,000 mi2 C) 6,900 mi2 D) 11.9 mi2

Use the following to answer question 3:

3. The pie chart shows the distribution of a person's total yearly income of $36,000. Find the amount budgeted for utilities.

A) $4,320 B) $1,800 C) $3,600 D) $2,880

4. Find the median of the following set of numbers.

4, 5, 6, 9, 11

A) 6 B) 4 C) 7 D) 5

5. The following scores were recorded on a 100-point examination:
95, 75, 76, 86, 96, 71, 68, 81, 95, 76, 69, 82, 93, 88, 94

Find the mean and median final examination scores.

A) mean: 83; median: 81 C) mean: 82; median: 83
B) mean: 81; median: 83 D) mean: 83; median: 82

6. Find the median of the following set of numbers.

33, 72, 23, 27, 77, 68, 85

A) 72 B) 27 C) 55 D) 68

Use the following to answer question 7:

7. Use the bar graph, showing the attendance at a circus for 7 days in September, to find the median attendance over the 7 days.

A) 4,000 B) 5,600 C) 3,200 D) 4,800

8. Find the first and third quartiles, Q1 and Q3, of the following set of numbers.

13, 4, 12, 16, 8, 14, 8, 3, 10, 8

A) 3; 16 B) 4; 14 C) 4; 12 D) 8; 13

9. Find the mean of the following set of numbers.

13, 15, 18, 18, 18, 19, 22, 26, 28, 33

A) 21 B) 20.6 C) 20 D) 20.3

10. Find the mode of the following set of numbers.

15, 14, 10, 15, 16

A) 14 B) no mode C) 15 D) 10

11. The following pie chart shows the budget for a local company. The total budget is $560,000. Find the amount budgeted in the category of miscellaneous.

A) $56,000 B) $140,000 C) $224,000 D) $84,000

12. Find the first and third quartiles, Q1 and Q3, of the following set of numbers.

0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27

A) 0.16; 0.28 B) 0.18; 0.27 C) 0.16; 0.27 D) 0.18; 0.28

13. Add

A) B) C) D)

14. Evaluate

A) 14 B) C) D)

15. Subtract

A) -15.4 B) 1.2 C) 15.4 D) -1.2

16. Multiply

A) 273.6 B) -45.6 C) -456 D) 7.6

17. Divide

A) 4 B) C) 5 D)

18. Find the reciprocal of

A) B) C) D)

19. Perform the indicated operation.

A) B) C) Undefined D) 180

20. Place the following set of numbers in ascending order.

25, -13, 8, -2, 13, 3, 18

A) -13, -2, 3, 13, 8, 18, 25 C) -13, 3, -2, 8, 13, 18, 25
B) 25, 18, 13, 8, 3, -2, -13 D) -13, -2, 3, 8, 13, 18, 25

21. Divide

22. Place the following set of numbers in ascending order.

23. Multiply

24. Which of the following numbers are integers?

25. Divide

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This solution includes step by step detailed solution of finding median, mode, first and third quartiles. It also includes problems on graphing pie chart.

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  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
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