Chapter Exam

Chapter 4: Diagrammatic and Graphical Representation of Data — Online MCQ Test

Q: Which of the following is a graphical representation of categorical data using rectangular bars with equal width?

Answer: B. Bar diagram — A bar diagram is used to represent categorical or discrete data using rectangular bars of equal width. The height of each bar shows the value or frequency.

Q: A pie chart is mainly used to represent:

Answer: B. Parts of a whole — A pie chart shows how a total is divided into different components. Each sector represents a proportion of the whole.

Q: Which of the following is NOT a diagrammatic representation of data?

Answer: D. Arithmetic mean — Arithmetic mean is a measure of central tendency, not a diagram or graph. The other options are all graphical representations.

Q: A student wants to show the distribution of marks of 200 students in class intervals and also identify the median visually. Which pair of graphs is most appropriate?

Answer: B. Histogram and ogive — A histogram displays the frequency distribution of class intervals, and an ogive helps locate the median visually. Together they are very useful for grouped data.

STATISTICS · CLASS 11th · Tamil Nadu State Board

Practice Chapter 4: Diagrammatic and Graphical Representation of Data with a free chapter-wise online MCQ test for Tamil Nadu State Board CLASS 11th STATISTICS. This chapter covers: Focusing on visual statistics this chapter details bar diagrams pie charts histograms frequency polygons frequency curves and ogives. Students analyze data representation methods f.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 4: Diagrammatic and Graphical Representation of Data — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board CLASS 11th STATISTICS — Chapter 4: Diagrammatic and Graphical Representation of Data, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following is a graphical representation of categorical data using rectangular bars with equal width?

A. Histogram
B. Bar diagram ✓
C. Ogive
D. Frequency polygon

Answer: B. Bar diagram
A bar diagram is used to represent categorical or discrete data using rectangular bars of equal width. The height of each bar shows the value or frequency.

A pie chart is mainly used to represent:

A. Continuous frequency distribution
B. Parts of a whole ✓
C. Cumulative frequencies
D. Class intervals

Answer: B. Parts of a whole
A pie chart shows how a total is divided into different components. Each sector represents a proportion of the whole.

Which of the following is NOT a diagrammatic representation of data?

A. Bar diagram
B. Pie chart
C. Histogram
D. Arithmetic mean ✓

Answer: D. Arithmetic mean
Arithmetic mean is a measure of central tendency, not a diagram or graph. The other options are all graphical representations.

Which of the following is TRUE when comparing bar diagram and histogram?

A. Both are used only for continuous data
B. Bar diagram has no gap between bars, histogram has gaps
C. Bar diagram is for discrete or categorical data, histogram is for continuous data ✓
D. Histogram is used for components of a whole

Answer: C. Bar diagram is for discrete or categorical data, histogram is for continuous data
Bar diagrams are generally used for categorical or discrete data, while histograms are used for continuous frequency distributions. This is a key distinction in representation.

A student wants to show the distribution of marks of 200 students in class intervals and also identify the median visually. Which pair of graphs is most appropriate?

A. Bar diagram and pie chart
B. Histogram and ogive ✓
C. Pie chart and frequency curve
D. Line graph and bar diagram

Answer: B. Histogram and ogive
A histogram displays the frequency distribution of class intervals, and an ogive helps locate the median visually. Together they are very useful for grouped data.