Answer to Question #235011 in Statistics and Probability for Light

Question

Country GDP per capita in US dollars (2015) Fertility Rate (2015)
Angola 7615 5.65
Botswana 17196 2.54
Lesotho 2598 2.94
Malawi 799 5.23
Mozambique 1176 5.04
Namibia 10040 2.95
South Africa 12509 2.34
Swaziland 6095 3.2
Zambia 4034 5.59
Zimbabwe 1801 3.35


The following question refers to the data in the excel sheet showing 2015 GDP per capita and fertilty rates for different countries in the world.
a) (i) Make a cumulative percentage graph of GDP per capita using classes of ten thousand points, starting with 1-10000.
[5 marks] (ii) State the range of the GDP per capita values of countries that are below the
25th percentile?
(iii) State the range of the GDP per capita values of countries that above the
75th percentile?
(iv) What is the mean GDP per capita value?

Answer 1

i)

The frequency distribution table is as follows 

The cumulative percentage graph is as follows 

ii)

Compute the 25th percentile of the data as follows 

The range of values below the 25th percentile is 1- 378.25

iii)

Compute the 75th percentile of the data as follows 

The range of values below the 75th percentile is 25493.50- 148374.00

iv)

Compute the mean of the data as follows

Thus the mean GDP per capita value is 18393.53