← Back to topic
Vidaara.orgClass 8 · Mathematics
CodeVID-M08-17-BAR-01
Bar Graphs & Histograms - Assignment
Chapter: Data Representation
Topic: Bar Graphs and Histograms
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.
The height of a bar shows the:
  • A.width
  • B.frequency
  • C.range
  • D.mean
4.
Bar-graph bars are of equal:
  • A.height
  • B.width
  • C.colour
  • D.area
5.
In a histogram, the bars have:
  • A.large gaps
  • B.no gaps
  • C.dotted lines
  • D.curves
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Which graph has gaps between bars?
7.
Which graph is used for grouped data?
8.
What does the height of a bar show?
9.
Are histogram bars separated by gaps?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State one difference between a bar graph and a histogram.
11.
In a bar graph, what does the tallest bar represent?
12.
Which graph would you use for marks grouped $0\text{--}10, 10\text{--}20,\ldots$?
13.
Which axis usually shows the frequency?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
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.
15.
Explain when you would use a histogram rather than a bar graph, with one example of suitable data for each.

Answer Key

Section A — Multiple Choice Questions
  1. (B) discrete
  2. (B) continuous (grouped)
  3. (B) frequency
  4. (B) width
  5. (B) no gaps
Section B — Short Answer (2 marks)
  1. A bar graph.
  2. A histogram.
  3. The frequency.
  4. No.
Section C — Short Answer (3 marks)
  1. A bar graph shows discrete data with gaps; a histogram shows continuous data with no gaps.
  2. The highest frequency.
  3. A histogram.
  4. The vertical ($y$) axis.
Section D — Long Answer (5 marks)
  1. $x$-axis: sports, $y$-axis: number of students; equal-width bars with gaps; the cricket bar (12) is tallest.
  2. Histogram for continuous/grouped data (e.g. heights $140\text{--}150$ cm); bar graph for discrete categories (e.g. favourite fruit).
Generated by Vidaara.org · Assignment VID-M08-17-BAR-01 · vidaara.org