There are multiple choice questions please help; Below are two relative frequenc

Question

There are multiple choice questions please help;

Below are two relative frequency distributions of per capita income in 1993. The first is unweighted (each of the 127 countries with available data counts as an observation). The second is weighted by population (each person in a country counts as an observation, so each country is weighted in proportion to its population). These data are from the 1995 World Development Report.

In what percentage of countries in the sample was per capita income less than $600? $10,000 or more?

What percentage of the population in the sample lived in countries where per capita income was less than $600? $10,000 or more?

QUESTION

1. In what percentage of countries in the sample was per capita income less than $600?

7.9

26.5

29.2

54.9

3

QUESTION

2. What percentage of the population in the sample lived in countries where per capita income was less than $600?

7.9

26.5

29.2

54.9

4

QUESTION

3. In what percentage of countries in the sample was per capita income $10,000 or more?

18.8

23.5

15.9

15.2

5

QUESTION

4. What percentage of the population in the sample lived in countries was per capita income $10,000 or more?

17.9

18.8

14.9

15.9

Explanation / Answer

1. In what percentage of countries in the sample was per capita income less than $600?

= Sum of percentage of countries in the sample with per capita income less than $600

= Sum of percentage of countries in the sample with 0 to < 200, 200 to < 400, 400 to < 600

= 6.3 + 15.0 + 7.9 = 29.2

So, the percentage of countries in the sample was per capita income less than $600 is 29.2

2. What percentage of the population in the sample lived in countries where per capita income was less than $600?

= Sum of percentage of the population in the sample lived in countries where per capita income less than $600

= Sum of percentage of the population in the sample with 0 to < 200, 200 to < 400, 400 to < 600

= 4.2 + 24.2 + 26.5 = 54.9

So, the percentage of the population in the sample was per capita income less than $600 is 54.9

3. In what percentage of countries in the sample was per capita income $10,000 or more?

= Sum of percentage of countries in the sample with per capita income $10,000 or more

= Sum of percentage of countries in the sample with 10,000 to < 15,000, 15,000 to < 20,000, 20,000 to < 25,000 and 25,000 to < 40,000

= 3.1 + 6.3 + 6.3 + 3.1 = 18.8

So, the percentage of countries in the sample was per capita income less than $10,000 or more is 18.8

4. What percentage of the population in the sample lived in countries was per capita income $10,000 or more?

= Sum of percentage of population in the sample with per capita income $10,000 or more

= Sum of percentage of population in the sample with 10,000 to < 15,000, 15,000 to < 20,000, 20,000 to < 25,000 and 25,000 to < 40,000

= 1.0 + 3.5 + 8.6 + 2.8 = 15.9

So, the percentage of population in the sample was per capita income less than $10,000 or more is 15.9

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