Question

A study was conducted by collecting demographic data of employees of a large company. At the time of the study there were an estimated 10,000 employees, and 3095 employees participated in the study. Demographic data collected includes: gender, age, education level, marital status, position and income.

a. Determine the population and sample of the study
b. Determine whether the demographic variables above include categorical or numerical variables, qualitative or quantitative, whether discrete or continuous and whether the scale is nominal, ordinal, interval or ratio

Note: no handwritten answer would be very appreciated. thanks.

Answer 1

Answer a.

Population under study: Employees of a large company i.e. 10000 employees

Sample of the study: Employees who participated in the study i.e. 3095 employees

Answer b.

Numerical Data have meaning as a measurement whereas Categorical data represent characteristics or attributes.

Discrete data represent items that can be counted; they take on possible values that can be listed out and the list is finite whereas Continuous data represent measurements; their possible values cannot be counted and can only be described using intervals on the real number line

Quantitative represents numbers while Qualitative is for characteristics.

Now for Scale of measurements, we have four types:

1. Nominal - Data which are namesake

2. Ordinal - Data that are namesake but can be ordered

3. Interval - Data has ordered numbers with meaningful divisions

4. Ratio - Interval Scale with a meaningful zero.

Variable	Categorical/Numerical	Qualitative/Quantitative	Discrete/Continuous	Scale
Gender	Categorical	Qualitative	Discrete	Nominal
Age	Numerical	Quantitative	Discrete	Ratio
Education Level	Categorical	Qualitative	Discrete	Ordinal
Marital Status	Categorical	Qualitative	Discrete	Nominal
Position	Categorical	Qualitative	Discrete	Ordinal
Income	Numerical	Quantitative	Continuous	Interval