Vidaara.orgClass 10 · Mathematics
CodeVID-M10-12-HIS-01
Histograms, Polygons & Ogives — Assignment
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 histogram uses:
- A.points
- B.bars with no gaps
- C.sectors
- D.curves
2.
An ogive is a:
- A.bar graph
- B.cumulative frequency curve
- C.pie chart
- D.line of best fit
3.
A frequency polygon joins the:
- A.bar tops
- B.class marks
- C.lower limits
- D.origins
4.
Histogram bars are drawn:
- A.with gaps
- B.without gaps
- C.as dots
- D.as arcs
5.
The two types of ogive are "less than" and:
- A."equal to"
- B."more than"
- C."between"
- D."average"
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Which graph is used for cumulative frequency?
7.
What is plotted on the x-axis of a histogram?
8.
Joining the midpoints of class tops gives which graph?
9.
Do histogram bars have gaps?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
State the difference between a bar graph and a histogram.
11.
How is a "more than" ogive plotted?
12.
What does the point of intersection of the two ogives give?
13.
Name the curve obtained by plotting cumulative frequency against class limits.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Explain how to obtain the median graphically from the two ogives.
15.
For classes $0$–$10,10$–$20,20$–$30,30$–$40$ with frequencies $5,8,12,5$, list the class marks for the frequency polygon.
Answer Key
Section A — Multiple Choice Questions
- (B) bars with no gaps
- (B) cumulative frequency curve
- (B) class marks
- (B) without gaps
- (B) "more than"
Section B — Short Answer (2 marks)
- The ogive.
- Class intervals.
- A frequency polygon.
- No.
Section C — Short Answer (3 marks)
- A bar graph has gaps (categorical); a histogram has no gaps (continuous data).
- Using lower class limits and more-than cumulative frequencies.
- The median.
- An ogive.
Section D — Long Answer (5 marks)
- The x-coordinate of the point where the less-than and more-than ogives intersect is the median.
- $5,15,25,35$.
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