Question

What is the best measure of center (mean, median, or mode) for each topic? And why?

Country

Infant mortality

Health expenditure

Obesity rate

Average income

Life expectancy

Diabetes rate

Leading cause of death

Answer 1

Topic	Measure
Country	Mode
Infant mortality	Median
Health expenditure	Median
Obesity rate	Mean
Average income	Median
Life expectancy	Mode
Diabetes	Median
Leading cause of death	Mode

Country is a nominal data . Nominal data means only names . For nominal data we use Mode .

Infant mortality is a skewed data , more specifically it is right skewed (long right tail) . As infant mortality is much high right after birth and it decreases gradually . For skewed data we use median .

Health expenditure is skewed data . As it contains few observation with very high values . For skewed data we use median .

Obesity rate is approximately symmetrical , so we can use mean

Average income is skewed data . As it contains few observation with very high values . For skewed data we use median .

Life expectancy  is a skewed data , more specifically it is right skewed (long right tail) . As Life expectancy is much high at young age and it decreases gradually . For skewed data we use median .

Diabetes rate is a left skewed data . As for young population it is less , and increases with age. For skewed data we use median .

Leading cause of death is a nominal data . For nominal data we use Mode .