Statistics: Presentation of Data

Topics in this chapter

• Data Classification and Organisation
• Textual and Tabular Presentation
• Bar Diagrams and Comparison
• Pie and Component Diagrams
• Frequency Distributions and Histograms
• Frequency Polygons and Ogives
• Time-Series Line Graphs

Cheat sheet

Practice questions

1. Question 1Q-AC38C1

   Which statement correctly distinguishes a histogram from a bar diagram?

   1. A.A histogram is used only for qualitative data, whereas a bar diagram is used only for quantitative data.
   2. B.The rectangles in a histogram are adjacent because it represents continuous class intervals, whereas bars in a bar diagram usually have gaps.
   3. C.A bar diagram must always have unequal-width bars, whereas a histogram must have equal-width bars.
   4. D.A histogram displays percentages only, whereas a bar diagram displays frequencies only.
   See the answer and solution
2. Question 2Q-9C57DD

   A household spends ₹2,400 out of a total monthly expenditure of ₹7,200 on food. What angle should represent food expenditure in a pie diagram?

   1. A.60°
   2. B.90°
   3. C.120°
   4. D.150°
   See the answer and solution
3. Question 3Q-1ABD9F

   A continuous frequency distribution has the following classes and frequencies: 0–10: 20, 10–30: 30, and 30–40: 10. If a histogram is drawn for these unequal class intervals, what should be the relative heights of the three rectangles, using frequency density as height?

   1. A.2, 1.5, 1
   2. B.20, 30, 10
   3. C.1, 2, 1.5
   4. D.10, 20, 10
   See the answer and solution
4. Question 4Q-8F3ED6

   State one suitable use each of a bar diagram, a histogram, and a pie diagram in presenting economic data.

   See the answer and solution
5. Question 5Q-7E761B

   A researcher wants to present the movement of a country's exports over five successive years. Which type of presentation is most appropriate?

   1. A.Line graph
   2. B.Pie diagram
   3. C.Histogram
   4. D.Frequency polygon
   See the answer and solution