Statistics
Uttarakhand Board · Class 9 · Mathematics
Flashcards for Statistics — Uttarakhand Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is the main advantage of graphical representation of data over tabular representation?
Answer
Graphical representation makes data easier to understand and allows for quick visual comparisons. As the saying goes, 'one picture is better than a thousand words.' It helps in visualizing relative ch
What are the three main types of graphical representations studied in Class 9 Statistics?
Answer
The three main types are: (A) Bar graphs, (B) Histograms (both uniform and varying widths), and (C) Frequency polygons.
Define a bar graph and list its key characteristics.
Answer
A bar graph is a pictorial representation of data where bars of uniform width are drawn with equal spacing on one axis (usually x-axis) showing the variable, while the other axis (y-axis) shows values
What is a histogram and how does it differ from a bar graph?
Answer
A histogram is a graphical representation of grouped frequency distribution with continuous class intervals. Unlike bar graphs: (1) There are no gaps between consecutive rectangles, (2) It's used for
In a histogram, what is the relationship between the area of rectangles and frequency?
Answer
In a histogram, the areas of the rectangles are proportional to the corresponding frequencies. When all class intervals have equal width, the heights (lengths) of rectangles are proportional to freque
Why do we need to modify rectangle lengths in histograms with varying class widths?
Answer
When class widths vary, using original frequencies as heights gives a misleading picture because areas (not heights) should be proportional to frequencies. We modify lengths to ensure areas remain pro
How do you calculate the modified length for a class interval in a histogram with varying widths?
Answer
Step 1: Find the minimum class size from all intervals. Step 2: Use the formula: Modified length = (Original frequency × Minimum class size) ÷ (Class size of current interval). This ensures areas rema
A class interval 0-20 has frequency 7, and another interval 20-30 has frequency 10. If minimum class size is 10, what are the modified lengths?
Answer
For 0-20: Class size = 20, Modified length = (7 × 10) ÷ 20 = 3.5. For 20-30: Class size = 10, Modified length = (10 × 10) ÷ 10 = 10. The modification ensures proper area representation.
+12 more flashcards available
Practice AllGet detailed flashcards for Statistics
Super Tutor gives you interactive content for every chapter of Uttarakhand Board Class 9 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Statistics for Uttarakhand Board Class 9 Mathematics?
Statistics covers several key topics that are frequently asked in Uttarakhand Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Statistics — Uttarakhand Board Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
How many flashcards are available for Statistics?
There are 20 flashcards for Statistics covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More Resources for Statistics
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually