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Basic Statistics and Bar Graphs

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1. 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

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
Oceana (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

3. Using MS Excel, create a bar graph for the total world population in 1950, using the information given in the world population and land area table. Copy and paste your bar graph below.

4. Using the world population and land area table, what is the total land area in Oceana as a percent of Earth?
________________ is the total land area in Oceana as a percent of Earth.

5. Find the first and third quartiles, Q1 and Q3, of the following set of numbers.
347, 242, 146, 391, 249, 567, 277, 218, 319 Q1 = __________ Q3 = __________

6. The following table gives the population of certain states according to the 2000 census. Construct a bar graph from this information.
State Population
Illinois 12,419.293
New Jersey 8,414,350
New York 18,976,457
Tennessee 5,689,283
Texas 20,851,820

7. Closing prices for Company A stock are shown during a 2-week period. Find the five-number summary for these data.
Day 1 2 3 4 5 6 7 8
Price 54.08 53.85 53.38 53.14 53.21 53.79 54.15 54.35

8. Find the five-number summary for the set of numbers.
0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27

A .1/8
b. 13/35
c. -1/8
d. -13/35

10. &#61485;Evaluate

11. subtract. -7.1(-8.3) &#61485;
a. -15.4
b. 1.2
c. 15.4
d. -1.2

12. Multiply (7.6)(1)(-6)
a. 273.6
b. -45.6
c. -456
d. 7.6

13. Divide

a. 4
b. 5 1/18
c. 5
d. 45/8

14. find the reciprocal of
a.
b.
c.
d.

15. subtract

a. 0
b. 1/18
c. 3/2
d.

16. multiply
a.
b. 6
c. -6
d.

17. perform the indicated operation.

a.
b.
c.
d. 180

18. perform the indicated operation.

a. 5
b.
c.
d. Undefined

19. Which of the following numbers are integers?

2/11, 705, 0.033, -780, 86.7

a. 705 and 780
b. 2/11
c. -780
d. 0.033 and 86.7

20. find the reciprocal of
a.
b.
c.
d.-

21. Place the following set of numbers in ascending order.
25, -13, 8, -2, 13, 3, 18

23. Find the reciprocal of

24. Evaluate

25. Place the following set of numbers in ascending order

26. Multiply (-4)(1)(-10)

27. Divide -15/-3

28. Which of the following numbers are integers?
75, 9.82, -1/14, -498, 0.71

Solution Preview

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1. 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

Arrange from lowest to largest:

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

Median =
= 0.235

First quartile: 0.08, 0.16, 0.18, 0.20, 0.22

= 0.18

Third quartile: 0.25, 0.27, 0.27, 0.28, 0.32
= 0.27

You can also use excel, type in these numbers in order from smallest to largest, then find MEDIAN.
First quartile (Q1) is 0.18 and third quartile (Q3) is 0.27

Therefore, the answer is b. 0.18; 0.27.

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
Oceana (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

3. Using MS Excel, create a bar graph for the total world population in 1950, using the information given in the world population and land area table. Copy and paste your bar graph ...

Solution Summary

This solution is comprised of step-by-step calculations of general math such as upper, lower quartiles, five-number summary. Evaluation of subtraction, addition, multiplication, and division, reciprocal are also included.

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