Question

Political science not in the subject.

1. The table below contains an economic survey of nine counties in state A. [6 points]

County	Population	Economic Type	Income Level
A1	6,000	Agricultural	High
A2	53,000	Industrial	Low
A3	26,000	Industrial	Low
A4	13,000	Agricultural	High
A5	13,000	Industrial	Medium
A6	19,000	Agricultural	Low
A7	27,000	Industrial	High
A8	15,000	Industrial	Medium
A9	40,000	Agricultural	High

a) What is the measurement level of population? Describe its central tendency and dispersion.

b) What is the level of measurement of Economic Type? Describe its central tendency.

c) What is the level of measurement of Income Level? Describe its central tendency and dispersion.

Answer 1

Part A

Measurement of level of population is ratio. Population data has a true defined zero point which makes it valid for the ratio scale. In the given table, the population data seems to have some outliers therefore, the best central tendency measure for population is median. It will generate a better middle value as compared to mean and mode.For dispersion, standard deviation is a good measure for population because for variance we need to use the mean value which we are not considering as a good measure of central tendency here.

Part B

Economic type is a categorical Variable, therefore, it should be measured in nominal scale. It can be seen that the data is divided into two types of economies namely Industrial and agriculture. The central tendency used for the categorical data is mode. As the data is measured in nominal scale, mean and median cannot be used. For qualitative data there is no measure for dispersio or variability.

Part C

Income level is a qualitative data and should be measured in ordinal scale as the countries can be ranked according to the income level of country. The best central tendency for ordinal measured data is also mode. For the qualitative data, there is no measure of dispersion or variability.