Question

1. A researcher doing interviews with immigrants in the U.S. records the place of birth for each of her ten respondents. Her data is shown in the following table.

Person	Place of Birth	Person	Place of Birth
1	North America	6	Africa
2	Central America	7	Africa
3	Central America	8	Africa
4	South America	9	Europe
5	Asia	10	Europe

1. Complete the following frequency table. (10 points)

Place of Birth (X)	f	%

2. Sketch a bar graph or histogram for the data on place of birth. (10 points)

3. The frequency table does not include columns for cumulative frequency or cumulative percent. Write a sentence to explain why they are not appropriate here. (6 points)

Answer 1

The frequency table is as follows

Place of birth (x)	Frequency f(x)
North America	1
Central America	2
South America	1
Asia	1
Africa	3
Europe	2
	f(x) = 10

The bar graph or histogram is as follows

Cumulative frequencies are used to calculated the sum of frequencies of that class and all the classes before it to know the total frerquency till that class

For example if the income classes are 0-1000, 1000-2000, 2000-3000, 3000-4000, 4000-5000, 5000-6000

The number of people that earn income upto 4000 can be calculated by adding the frequencies upto the class 3000-4000

Here in our given problem, the cumulative frequency doesn't make any sense because we can not order the countries in asceding or descending order