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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-14-GRP-01
Graphical Representation of Data - Assignment
Chapter: Statistics
Topic: Graphical Representation of Data
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A bar graph is used for ___ data.
  • A.continuous
  • B.discrete
  • C.grouped
  • D.no
2.
A histogram is used for ___ data.
  • A.discrete
  • B.continuous (grouped)
  • C.two-value
  • D.ratio
3.
In a histogram, the bars have:
  • A.large gaps
  • B.small gaps
  • C.no gaps
  • D.curves
4.
A frequency polygon joins the:
  • A.corners
  • B.class marks
  • C.origins
  • D.axes
5.
The height of a bar represents the:
  • A.class mark
  • B.frequency
  • C.range
  • D.mean
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Which graph has no gaps between bars?
7.
Which graph is used for grouped/continuous data?
8.
A frequency polygon joins which points?
9.
In a bar graph, what does the height show?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State one difference between a bar graph and a histogram.
11.
Which points are plotted for a frequency polygon?
12.
For classes $0\text{--}10, 10\text{--}20$ with frequencies $4, 6$, which bar is taller?
13.
With equal class widths, what does a histogram bar's area represent?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The number of students scoring in classes $0\text{--}10, 10\text{--}20, 20\text{--}30, 30\text{--}40$ is $3, 7, 9, 1$. Describe how to draw the histogram and state which class has the tallest bar.
15.
For the data above, list the points used to draw the frequency polygon.

Answer Key

Section A — Multiple Choice Questions
  1. (B) discrete
  2. (B) continuous (grouped)
  3. (C) no gaps
  4. (B) class marks
  5. (B) frequency
Section B — Short Answer (2 marks)
  1. A histogram.
  2. A histogram.
  3. The class marks (tops of bars).
  4. The frequency.
Section C — Short Answer (3 marks)
  1. A bar graph has gaps and is for discrete data; a histogram has no gaps and is for continuous data.
  2. (Class mark, frequency).
  3. $10\text{--}20$.
  4. The frequency.
Section D — Long Answer (5 marks)
  1. Classes on the x-axis, frequency on the y-axis, adjacent equal-width bars; tallest bar is $20\text{--}30$ (frequency $9$).
  2. $(5,3), (15,7), (25,9), (35,1)$.
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