Practice Data (Abstract) in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Data is a collection of recorded observations or measurements used to describe, analyze, or make inferences about a phenomenon or population.
Data is raw material for understanding—numbers, words, or categories we collect to answer questions.
Example 1
easyA researcher records the following about 5 students: name, age, GPA, and favorite color. Classify each variable as quantitative or categorical, and explain the difference.
Example 2
mediumA survey asks: (1) What is your ZIP code? (2) How many hours do you sleep per night? (3) Rate your satisfaction 1–5. Classify each and identify potential misclassification pitfalls.
Example 3
easyClassify each variable: (a) blood type (A, B, AB, O), (b) temperature in Celsius, (c) jersey number, (d) number of goals scored.
Example 4
mediumA data set contains 1000 rows and 8 columns. Explain what a row and a column represent, and define the terms 'observation', 'variable', and 'case' in statistical context.