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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-17-CT
Data Representation — Full Chapter Test
Chapter: Data Representation
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • 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.
Unorganised data is called:
  • A.grouped data
  • B.raw data
  • C.a graph
  • D.a mean
2.
A bar graph is used for ___ data.
  • A.continuous
  • B.discrete
  • C.grouped
  • D.no
3.
A pie chart shows parts of a:
  • A.line
  • B.whole
  • C.table
  • D.triangle
4.
The frequency is the number of times a value:
  • A.is added
  • B.occurs
  • C.is squared
  • D.is halved
5.
A histogram is used for ___ data.
  • A.discrete
  • B.continuous (grouped)
  • C.two-value
  • D.ratio
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the frequency of $4$ in $4, 4, 2, 4, 5$.
7.
Which graph has gaps between bars?
8.
The full angle of a pie chart is:
9.
Find the range of $8, 3, 12, 5$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the range of $25, 40, 15, 60, 35$.
11.
State one difference between a bar graph and a histogram.
12.
A category is $\tfrac14$ of the total. Find its pie-chart angle.
13.
In $2, 3, 3, 3, 5, 5$, what is the frequency of $3$?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The marks of $10$ students are $5, 8, 5, 7, 8, 5, 9, 8, 7, 5$. Make a frequency table and state the most frequent mark.
15.
The favourite sports of $30$ students are cricket $12$, football $9$, hockey $6$, tennis $3$. Describe how to draw a bar graph and state the tallest bar.

Answer Key

Section A — Multiple Choice Questions
  1. (B) raw data
  2. (B) discrete
  3. (B) whole
  4. (B) occurs
  5. (B) continuous (grouped)
Section B — Short Answer (2 marks)
  1. $3$.
  2. A bar graph.
  3. $360^\circ$.
  4. $9$.
Section C — Short Answer (3 marks)
  1. $45$.
  2. A bar graph shows discrete data with gaps; a histogram shows continuous data with no gaps.
  3. $90^\circ$.
  4. $3$.
Section D — Long Answer (5 marks)
  1. $5\!:\!4,\ 7\!:\!2,\ 8\!:\!3,\ 9\!:\!1$; most frequent is $5$.
  2. $x$-axis: sports, $y$-axis: number of students; equal-width bars with gaps; the cricket bar (12) is tallest.
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