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# Data and integers

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

45, 21, 54, 22, 65, 61

Solution, explanation:

2. 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.

Solution, explanation:

Use the following to answer questions 3-4:

3. Use the graph, showing the yearly food costs of a family.

In what year was the cost of food the greatest?

Solution, explanation:

4. Use the graph, showing the yearly food costs of a family.

What was the cost in 1999?

Solution, explanation:

Use the following to answer questions 5-6:

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

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

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

Use the following to answer question 7:

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

Solution, explanation:

8. Find the five-number summary 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

Solution, explanation:

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

14, 4, 13, 18, 8, 15, 8, 3, 11, 8

Solution, explanation:

10. The table below gives the median earnings of men aged 25 and older who work full-time, year round, by educational attainment according to the 2000 census.

Education Earnings
HS diploma or GED \$32,493
Associate's degree \$41,067
Bachelor's degree \$53,505
Master's degree \$65,052
Doctoral degree \$75,631

Create a bar graph from this information.

Use the following to answer question 11:

11. Use the graph, showing the yearly food costs of a family.

What was the decrease in the cost of food from 2003 to 2004?

Solution, explanation:

13. Subtract

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14. Divide

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15. Evaluate

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16. Perform the indicated operation.

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17. Multiply

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18. Multiply

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19. Perform the indicated operation.

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20. Subtract

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21 Multiply -

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22. Divide

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23. Subtract -

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24. Divide

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25. Multiply

- 3[-4 -(-3)(-5) -7]

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26. Divide

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#### Solution Preview

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

45, 21, 54, 22, 65, 61

Solution, explanation:

21, 22, 45, 54, 61, 65
45 and 54 are both in the middle, so the median = (45 + 54)/2 = 99/2 = 49.5

2. 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.

Solution, explanation:
Mean:
(95 + 75 + 76 + 86 + 96 + 71 + 68 + 81 + 95 + 76 + 69 + 82 + 93 + 88 + 94)/15 = 83

Median:
68, 69, 71, 75, 76, 76, 81, 82, 86, 88, 93, 94, 95, 95, 96
82 is in the middle, so median = 82

Use the following to answer questions 3-4:

3. Use the graph, showing the yearly food costs of a family.

In what year was the cost of food the greatest?

Solution, explanation:
Use the graph, we can see :
1999: 9
2000: 8.5
2001: 10
2002: 11
2003: 10.5
2004: 9.5
2005: 10
In 2002, the cost of food was the greastest = 11 (thousands of dollars)

4. Use the graph, showing the yearly food costs of a family.

What was the cost in 1999?

Solution, explanation:
The cost in 1999 = 9 (thousands of dollars)

Use the following to answer questions 5-6:

Continent or Region Land Area
(1,000 mi2)
% of ...

#### Solution Summary

This provides examples of working with measures of central tendency, reading graphs, and performing operations on integers.

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