The relationship between Life Expectancy at birth and GDP per capita (PPP)

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Section 1: Introduction

In a given country, Life Expectancy at birth is the expected number of years of life from birth. Gross domestic product per capita is defined as the market value of all final goods and services produced within a country in one year, divided by the size of the population of that country.

The main objective of the present project is to establish the existence of a statistical relation between Life Expectancy (y) at birth and GDP per capita (x). First, we will present in Section 2 the data, from an official governmental source, containing Life Expectancy at …show more content…

Class | Frequency | 0-4999 | 18 | 5000-9999 | 8 | 10000-14999 | 5 | 15000-19999 | 3 | 20000-24999 | 1 | 25000-29999 | 10 | 30000-34999 | 2 | 35000-40000 | 1 |
Table 3: Frequencies of GDP per capita with classes of USD 5000

Standard deviation: Sx=i=148(xi-x)248 =11100
Basic statistics for the Life Expectancy:
Mean: y=i=148yi48 = 70,13

As before, in order to compute the median, we need to order the Life Expectancies:

41.71, 43.02, 46.56, 49.54, 50.02, 51.61, 56.53, 61.33, 63.62, 64.76,
65.23, 65.71, 67.81, 67.96, 68.94, 70.31, 70.41, 70.62, 71.08, 71.08,
71.13, 71.14, 71.89, 72.17, 72.22, 74.37, 75.18, 75.48, 75.85, 76.08,
76.35, 76.43, 77.01, 77.14, 77.88, 77.92, 78.16, 78.17, 78.29, 78.42,
78.89, 79.02, 79.04, 79.28, 79.83, 79.93, 80.13, 80.93.

The median is obtained as the middle value of the two central values:

Median= 72,17+72,222 = 72.195

To find the modal class of Life Expectancy we consider modal classes of one year. The table of frequencies is the following

Class | Frequency | 41 | 1 | 42 | 0 | 43 | 1 | 44 | 0 | 45 | 0 | 46 | 1 | 47 | 0 | 48 | 0 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 0 | 53 | 0 | 54 | 0 | 55 | 0 | 56 | 1 | 57 | 0 | 58 | 0 | 59 | 0 | 60 | 0 | 61 | 1 | 62 | 0 | 63 | 1 | 64 | 1 | 65 | 2 | 66 | 0 | 67 | 2 | 68 | 1 | 69 | 0 | 70 | 3 | 71 | 5 | 72 | 2 | 73 | 0 | 74 | 1 | 75 | 3 | 76 | 3 | 77 | 4 | 78 | 5 | 79 | 5 |